Quant Quiz.pdf

5/19/2018 Quant Quiz.pdf

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Directions (Q. 1-5): Following pie chart shows the percentage share of cost of production by six computer system manufacturers. Total cost

of production is 50 crores. The table shows the ratio of production of Desktop and Laptop systems and percentage profit earne d on these

two type of system by these six companies.

1. What is the total production cost of Desktop system by H.P. and Dell

(1) 12 crores

(2) 14 crores

(3) 15 crores

(4) 16 crores

(5) None of these

2. What is the total profit earned by Sony?

(1) 1.2 crores

(2) 1.4 crores

(3) 1.5 crores

(4) 1.8 crores

(5) None of these

3. What is the difference between cost of production of Desktop and Laptop system by company Apple?

(1) 0.6 crore

(2) 0.75 crore

(3) 1.0 crore

(4) 1.2 crores

(5) None of these

4. What is the ratio between profit earned on Desktop and Laptop by HCL?

(1) 4 : 5

(2) 15 : 8

(3) 4 : 15

(4) 7 : 9

3 Data Interpretation


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(5) None of these

5. Profit earned by Lenevo by selling Desktop system is what percentage of the profit earned by selling Laptop?

(1) 72.5%

(2) 64.5%

(3) 42.5%

(4) 37.5%

(5) None of these

Directions (Q. 6-10): Following bar graph shows the income and expenditure of a company in the period of 2003 to 2008.

6. What is the total profit gained by company in the period of 2003 to 2008?

(1) 180 lakhs

(2) 210 lakhs

(3) 240 lakhs

(4) 290 lakhs

(5) None of these

7. What is the ratio between percentage profit gained in year 2003 and year 2006?

(1) 3 : 7

(2) 4 : 11

(3) 1 : 3

(4) 4 : 15

(5) None of these

8. In which year percentage profit gained by company is maximum?

(1) 2003

(2) 2005

(3) 2006

(4) 2007

(5) None of these

9. What is the percentage profit (approximate value) gained by company if we take year 2007 and 2008 together?

(1) 11.36%

(2) 15.85%

(3) 17.25%

(4) 18.50%(5) None of these

10. In which of the following pair of years the percentage profit/loss (considering only magnitude) is equal?

(1) 20032004

(2) 20042007

(3) 20052008

(4) 20042006

(5) None of these

Directions (Q. 11-15): Following line graph shows the ratio of female and male employees working in two companies A and B.


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11. If in year 1990 there were 50 male employees working in Company A then what is the number of female employees working the re in

the same year?

(1) 48

(2) 40

(3) 36

(4) 24

(5) None of these

12. If in year 2005 total employees working in Company B is 320 then what is the difference between number of male and female

employees?(1) 60

(2) 75

(3) 80

(4) 90

(5) None of these

13. If in year 1985 in Company B, number of female employees in increased by 25% and number of male is decreased by 25%, then what

will be the new ratio between female and male?

(1) 1 : 3

(2) 2 : 3

(3) 1 : 2

(4) 3 : 4

(5) None of these

14. If in year 2000, number of female in Company A and in year 2010, number of male in Company B is equal to 75, then what is the

difference between number of male in Company A in 2000 and number of female in Company B in year 2010?

(1) 145

(2) 245

(3) 345

(4) 445

(5) None of these

15. In year 1990 the ratio of female and male employees working in Company B is how much percentage more than that of the rat io of

female and male employees in Company A in the same year?

(1) 5%

(2) 12%(3) 16%

(4) 25%

(5) None of these

ANSWERSSolutions (1-5)1. 2;Total cost = 50 (24/100 * 2/3 + 20/100 * 3/5)= 50(16/100 + 12/100) = (50*28)/100 = 14 crores

2. 4;

Production cost of Desktop = 50 * 16/100 * 5/8 = 5 croresProfit = 24% of 5 crores = 5*24/100 = 1.2 croresProduction cost of Laptop = 50*16/100*3/8 = 3 crores


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Profit = 20% of 3 crores = 3 * 20/100 = 0.6 croreTotal Profit = 1.2 + 0.6 = 1.8 crores

3. 3;Production cost of Laptop = 50 * 18/100 * 5/9 = 5 croresProduction cost of Desktop = 50 * 18/100 * 4/9 = 4 croresDifference = 5 4 = 1 crore

4. 2;Production cost of Laptop = 50 * 10/100 * 3/5 = 3 crores

Profit = 20% of 3 crores = 3 * 20/100 = 0.6 crore

Production cost of Desktop = 50 * 10/100 * 2/5 = 2 crores


5. 4; Production cost of Laptop = 50 * 12/100 * 2/3 = 4 crores


Production cost of Desktop = 50 * 12/100 * 1/3 = 2 crore


% = 0.6/1.6 * 100 = 37.5%

6. 4;Total income = 300 + 240 + 400 + 350 + 500 + 450 = 2240

Total expenditure = 250 + 320 + 360 + 200 + 400 + 420 = 1950

Difference = 2240 1950 = 290 lakhs

7. 4;

Percentage profit in 2003 = (300 - 250)/250 * 100 = 20%


Ratio = 20/75 = 4 : 15

8. 3;


9. 2;

In 2007 and 2008, total income = 500 + 450 = 950

Total expenditure = 400 + 420 = 820

% profit = (950 - 820)/820 * 100 = 15.85%

10. 2;

In 2004, its loss is 25%.

In 2007, its profit is 25%.

11. 4;

F/M= 0.48F = 0.48 50 = 24

12. 3;

In 2005,

F/M = 0.6

5F = 3M ...(i)

Given than, M + F = 320 ...(ii)

From equations (i) and (ii),

M = 200, F = 120

Difference = 200 120 = 80

13. 1;In 1985 , F/M = 0.2

F1 = F + F * 25/100 = 5F/4 and

M1 = M - M * 25/100 = 3M/4

= 1 : 3


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14. 3;

FA/MA = 0.2MA = 75/0.2 = 375FB/MB = 0.4FB = 0.4 75 = 30Difference = 375 30 = 345

15. 4;FA/MA = 0.48,

FB/MB = 0.6

% = (0.6 - 0.48)/0.48 * 100 = 0.12/0.48 * 100 = 25%


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Directions (Q. 1-5): Following table shows the total number of students passed and ratio of boys and girls among them of fourdifferent schools A, B, C and D during year 2006-2010.

1. What is the difference between total number of students passed in year 2007 and 2006 from all four schools together?

(1) 40(2) 30(3) 20(4) 10(5) None of these

2. What is the sum of total students passed from School A and School C during these five years?(1) 2750(2) 2830(3) 2910(4) 2650(5) None of these

3. What is the ratio between number of girls passed from School A in year 2007 and number of boys passed from School C inyear 2006?(1) 4 : 5(2) 5 : 4(3) 5 : 3(4) 3 : 5(5) None of these

4. In year 2010 number of boys passed from School D is what percentage of total passed students in that year?(1) 60%(2) 62.5%(3) 72.5%(4) 64.5%(5) None of these

5. Number of girls passed from School D in year 2008 is how much more percentage of number of girls passed from School Bin year 2010?(1) 25%(2) 30%(3) 40%(4) 50%(5) None of these

6. What sum of money at compound interest will amount to Rs 1190.91 in 3 years, if rate of interest is 5% for the first year,6% for the second year and 7% in the third year?(1) Rs 600(2) Rs 800(3) Rs 9400

(4) Rs 1000(5) None of these

7. Two places A and B are 800 km apart. A train leaves point A for B and at the same time another train leaved B to A. Bothtrains meet 10 hours after they start moving. If the train starts from A is 5 kmph faster than the other train then what is thespeed of slower train?



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(1) 36 kmph(2) 37.5 kmph(3) 40 kmph(4) 42.5 kmph(5) None of these

8. A train does a journey without stopping in 10 hours. Had it travelled 25 km faster per hour, it would have done thejourney in 5 hours. What is the original speed?(1) 20 kmph(2) 24 kmph

(3) 25 kmph(4) 36 kmph(5) None of these

9. Two trains of length 120 m and 90 m running at the same speed pass a static pole in 8 seconds and 6 seconds respectively.In what time they will cross each other if they are moving in opposite direction?(1) 14 seconds(2) 6 seconds(3) 20 seconds(4) 7 seconds(5) None of these

10. A dealer bought an item at a discount of 10% on its original price. He sold it on an amount 35% more than the originalprice. What percentage profit did he get?(1) 25%(2) 45%(3) 22.5%(4) 50%(5) None of these

Directions (Q. 11-15): Following table shows the total number of students and percentage of boys among them in thedifferent branches of five engineering colleges. Answer the following question based on this table.

11. What is the difference between number of boys of College A and number of female students of College B?(1) 75(2) 80(3) 85(4) 88(5) None of these

12. What is the average number of boys studying in Electronics stream in all five colleges?(1) 45(2) 48(3) 50(4) 56(5) None of these

13. The number of girls in Computer Science of College A and B is what percentage of number of boys in Electronics andTelecom of College D?(1) 90.42(2) 109.4(3) 110.5(4) 118.6

(5) None of these

14. What is the ratio between boys of IT stream of College C and College D?(1) 2 : 1(2) 3 : 5(3) 4 : 3


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(4) 4 : 5(5) None of these

15. Number of boys of Civil stream of College A is how much percentage more than the number of girls in Electronics streamof College C?(1) 60%(2) 75%(3) 80%(4) 100%(5) None of these

ANSWERS1. (4)

2. (1)

3. (2) ;Girls passed from School A in 2007 = 350 X 3/7= 150Boys passed from School C in 2006 = 200 X 3/5 = 120Ratio = 150/120 = 5 : 4

4. (2) ; Total = 6Boys = 640 * 5/8 = 400% = 400/640 * 100 = 62.5%

5. (1) ; Girls passed from School B in 2010 = 450 * 4/9 = 200Girls passed from School D in 2008 = 450 * 5/9 = 250% = (250-200)/200 * 100 = 50/200 * 100 = 25%

6. 4; P = 1190.91 (100/105)(100/106)(100/107) = 1000P = Rs 1000

7. 2; Let their speed be u kmph and v kmph.u + v = 800/10 = 80u + v = 80 ...(i)

u v = 5 ...(ii)From equations (i) and (ii),u = 85/2 = 42.5, v = 37.5

8. 3; Speed = (5*25)/(10-5) = 125/5 = 25 kmph

9. 4; Speed of trains = 120/8 = 15 m/secand 90/6 = 15 m/secRelative speed = 15 + 15 = 30 m/secTime = (120+90)/30 = 210/30= 7 seconds

10. 4; Let the original price is Rs 100.So he bought it at 10% discount ie Rs 90 and sells is at 35% profit on original rate ie Rs 135.Actual profit is 135 - 90 = Rs 45

% profit = 45/90 * 100 = 50%

11. . 412. . 413. . 314. . 315. . 4


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Direction for Ques Study the information carefully to answer the questions that follow

On the occasion of an opening ceremony of a Sports events, in a stadium there are total of 1200 players who areparticipating in four different events viz. Badminton, Hockey, Swimming and Shooting. The ratio between male to

female players is 11 : 4 respectively. 30% of the female players out of total female players are participating inBadminton. 10% of female players out of total female players are participating in Hockey. The remaining femaleplayers are participating in Swimming and Shooting in the ratio of 1 : 3 respectively. The ratio of male playerswho are participating in Badminton and other events together is 3 : 5 respectively. 4% of those male players whoare not participating in Badminton are participating in Shooting. Remaining male players are participating inHockey and Swimming in the ratio of 5 : 3 respectively.

1. What is the ratio between the female players participating in Shooting to Hockey respectively?(1) 9 : 5(2) 4 : 7(3) 7 : 4

(4) 9 : 2(5) None of these

2. What is the difference between male players participating in Swimming and female players participating inShooting ?(1) 54(2) 31(3) 166(4) 152(5) None of these

3. What is the ratio between the male players participating in Shooting and female players participating inHockey respectively?

(1) 11 : 72(2) 11 : 38(3) 11 : 16(4) 16 : 13(5) None of these

4. What is the total number of female players who are participating in Badminton and Swimming together ?(1) 136(2) 144(3) 116(4) 134(5) None of these

5. What is the total number of players (both males and females together) participating in Hockey andBadminton together ?(1) 720(2) 716(3) 748(4) 792(5) None of these

Directions (6-10) Study the following table carefully to answer the questions that follow:Liking of People among six IPL teams.Total number of persons = 136000

Data Interpretation + Set Theory


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6. What is the difference between the total number of persons who like KKR and PWI together and the totalnumber of persons who like MI and RCB together?(1) 19180(2) 19100(3) 19040(4) 19080(5) None of these

7. What is the respective ratio between the number of persons who like RCB and the number of persons wholike KKR?

(1) 3:11(2) 3:13(3) 6:11(4) 5:11(5) None of these

8. The number of persons who like CSK and RCB together are what percent of the total number of personswho like MI and DD?(1) 18(2) 12(3) 36(4) 24

(5) None of these

9. The number of persons who like PWI are approximately what percent of the number of persons who likeMI?(1) 7(2) 12(3) 18(4) 22(5) 29

10. How many persons like DD and CSK together?(1) 46240(2) 46260

(3) 46300(4) 46360(5) None of these

ANSWERSSolutions (1-5)

Male Female Total

Badminton 330 96 426

Hockey 330 32 362

Swimming 198 48 246

Shooting 22 144 166

Total 880 320 1200

1. (4)Required ratio = 144 : 32 = 9 : 2


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2. (1)Required difference = 198 144 = 54

3. (3)Required ratio = 22 : 32 = 11 : 16

4. (2)Number of females participating in Badminton and swimming together = 96 + 48 = 144

5. (5)Total number of players participating in Hockey and Badminton together = 426 + 362 = 788

Solutions (6-10)

6. (3)Required difference = (34 + 6 22 4)% of 136000 = 19040

7. (1)Required ratio = 6 : 22 = 3 : 11

8. (5)

Required percentage = (18 + 6)/ (34 + 6) = 48%

9. (2)Required percentage = 4/34 * 100 = 12% (approx

10. (1)Number of persons who like DD and CSK together = (18+16)% of 136000 = 46240


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Direction (1-7): Study the following pie-charts carefully and answer the questions given below:

Year-wise Breakup of the number of candidates appeared for an entrance exam and Year-wise Breakup of thenumber of candidates who cleared the entrance exam.

Total Number of candidates appeared in the entrance exam from 2007-2012 = 256000

Total Number students who cleared the entrance test from 2007-2012 = 32000

1. What was the ratio of the number of students appeared for the entrance exam in 2012 and the number ofstudents who cleared the exam in 2007 respectively?(1) 8 : 1

(2) 36 : 5

(3) 72 : 5

(4) 18 : 10

(5) None of these

2. The total number of students appeared in entrance exam from 2008 and 2011 was what percentage ofnumber of students appeared for the entrance exam in 2009?

(1) 120(2) 150

(3) 125

(4) 80

(5) None of these

3. Approximately what was the difference between the number of students who cleared the entrance exam in2009 and number of students who cleared the entrance exam in 2007?(1) 960

(2) 1920

(3) 3200

(4) 5120

(5) None of these

4. For which year was the difference in the number of students selected to number of students appeared inentrance exam the maximum?(1) 2008

(2) 2007

(3) 2010

2 Data Inerpretation


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(4) 2009

(5) None of these

5. The total number of students who cleared the exam from all years together is what percent of the totalnumber of students appeared for the exam in all years together?(1) 17.5%

(2) 15%

(3) 22.5%

(4) 12.5%

(5) None of these

6. The number of candidates who cleared the entrance exam in 2008 is approximately how much percent ofthe total number of students who appeared for the exam in the same year?(1) 12

(2) 18

(3) 15

(4) 8

(5) 5

7. Approximately what was the total number of students cleared the entrance exam in 2010 and 2009together?(1) 6400

(2) 15200(3) 115200

(4) 7920

(5) None of these

Directions (8-80): Study the following graph carefully to answer these questions

The graph shows the Percent Profit earned by two companies over different months.

% Profit = (Profit earned/Total investment) * 100

Profit earned = Total Income Total Investment in the year

9. If the amount of profit earned by company P in May was Rs. 5 lakhs, what was its total investment in thatmonth?(1) Rs. 50 Lakh

(2) Rs. 40 Lakh

(3) Rs. 33.3 Lakh

(4) Rs. 25 Lakh

(5) None of these

10. If the profit earned by company Q in January was Rs. 16.4 Lakhs, What was the total income of thecompany in that month?(1) Rs. 820000

(2) Rs. 65600000(3) Rs. 7500000

(4) Rs. 8200000

(5) None of these

11. If the amount invested by the two companies in February was equal, what was the respective ratio of the


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total income of the company P to that of Q in that month?(1) 22 : 23

(2) 2 : 3

(3) 3 : 2

(4) 23 : 22

(5) None of these

12. If the total amount invested by the two companies in Feb was Rs. 24 Lakh while the amount invested byCompany Q was three-fifth of the amount invested by Company P, what was the total profit earned by the two

companies together in that month?(1) Rs. 2.15 Lakh(2) Rs. 2.75 Lakh

(3) Rs. 2.85 Lakh

(4) Rs. 1.5 Lakh

(5) None of these

13. If the income of company P in April and that in May were equal and the amount invested in April was Rs.18 Lakh, what was the amount invested in May?(1) Rs. 25 Lakh

(2) Rs. 22.5 Lakh

(3) Rs.20 Lakh

(4) Rs.30 Lakh

(5) None of these

14. If the ratio of incomes of P and Q in March was 3 : 2, then what was the respective ratio of theirinvestments in the same month?(1) 67 : 46

(2) 47 : 66

(3) 46 : 67

(4) 66 : 47

(5) None of these

15. For how many of the given months, the profit of company Q was more than that of company P?(1) None

(2) Two

(3) Three(4) Four

(5) Cannot be determined

16. If each of the companies P and Q invested Rs. 36 Lakh in June, what was the average profit earned by thetwo companies in that month?(1) Rs. 4 Lakh

(2) Rs. 4.95 Lakh

(3) Rs. 5.15 Lakh

(4) Rs. 5 Lakh

(5) None of these

ANSWERS:

1. (3)Required ratio = 18% of 256000 / 10% of 32000 = 72 : 5

2. (3)Required percentage = (15 + 10)/20 * 100 = 125%

3. (2)Required difference = (16 10)% of 32000 = 1920

4. (3)The difference between number of students selected to number of students appeared in entrance exam in 2007= 12 % of 256000 10% of 32000 = 27520Similarly calculating for all years, the maximum difference will be for 2010.

5. (4)Required percentage = 32000/256000 = 12.5%


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6. (1)Required percentage = 14% of 32000/15% of 256000 * 100 = 11.67

7. (5)Required number = (20 + 16)% of 32000 = 11520

8. (2)Let the investment be x. Now

12.5% of x = 5x = 40 Lakh

9. (4)Required Income = (100 +25)/25 = 82 Lakhs

10. (1)Required Ratio = (100+10) : (100 + 15) = 22 : 23

11. (3)Let the amount invested by company P and Q be 5x and 3x respectively.5x + 3x = 24x = 3. 5x = 15 and 3x = 9Total profit earned by P and Q in February = 10% of 15 + 15% of 9 = 2.85 Lakh.

12. (3)Let the amount invested by company P in May be x. Then125% of 18 = 112.5% of xx = 20 Lakh

13. (4)Required ratio = 3*(100+10)/2*(100+17.5) = 66 : 47

14. (5)Since the investment is not given, we cannot find the profit of two companies.

15. (2)Average profit in June = (7.5% of 36 + 20%of 36)/2= 4.95 Lakh


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1. 696 58 * 15 + 468 = (?)3 - 164(1) 512(2) 6(3) 64

(4) 9(5) None of these

2. (9 * 9)3 (243 27)4 * (243 * 9)3 = (9 * 27)? + 1

(1) 3(2) 2(3) 6(4) 4(5) None of these

3. (180 + 11) + (5 -3)2 = (?)2

(1) 5(2) 8(3) 25(4) 10(5) 4

4. 7(1/2) + 4(1/3) 6(1/4) = ? + 5(1/6)(1) 5/6(2) 7/6(3) 5/12(4) 7/12(5) None of these

5. 19% of 2570 = 35% of 628 + ?(1) 271.5(2) 268.5(3) 273.5(4) 266.5(5) None of these

6. Mr. Sanjay invested a certain amount in Debt and Equity funds in the ratio 6 : 7. At the end of one year, heearned a total dividend of 40% on his investment. After one year he reinvested the amount including thedividend in the ratio of 3 : 2 in Debt and Equity fund. If the amount invested in Equity Funds in second yearwas Rs. 36400, what was the original amount invested in Equity Funds?(1) Rs. 35000(2) Rs. 30000

(3) Rs. 91000(4) Rs. 65000(5) None of these

7. The product of twice a number and 25% of another number is what per cent of the product of the originalnumbers?(1) 80%(2) 50%(3) 75%(4) 30%(5) None of these

8. Raman and Chaman together can complete an assignment of data entry in fifteen days. Chamans speed is85% of Ramans speed and the total key depressions in the assignment are 6,66,000. What is Ramans speedin key depressions per hour if they work for 5 hours a day?(1) 4800(2) 2400(3) 3600

Simplification + Verbal


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9. A shopkeeper labelled the price of his articles so as to earn a profit of 50% on the cost price. He then soldthe articles by offering a discount of 30% on the labelled price. What is the actual per cent profit earned inthe deal?(1) 80%(2) 10%(3) 20%

(4) 15%(5) None of these

10. Arpans salary increases every year by 20% in June. If there is no other increase or reduction in the salaryand his salary in June 2012 was Rs 25,920, what was his salary in June 2010?(1) Rs 22,250(2) Rs 18,000(3) Rs 20000(4) Rs 16,500(5) None of these

Directions (11-13) : Study the given information carefully and answer the questions that followA basket contains 6 black, 4 yellow and 3 white marbles.

11. If three marbles are picked at random, what is the probability that either all are white or all are black?(1) 21/143(2) 10/243(3) 21/286(4) 31/286(5) None of these

12. If two marbles are drawn at random, what is the probability that both are black?(1) 5/26(2) 15/26(3) 5/13(4) 21/26

(5) None of these

13. If three marbles are picked at random, what is the probability that at least one is yellow?(1) 42/143(2) 84/143(3) 21/143(4) 35/143(5) None of these

ANSWERS:

1. (5)

2. (4)

3. (1)

4. (3)

5. (2)

6. (1)Amount invested in equity fund in second year = 36400Total amount invested in second year = 5/2 of 36400 = 91000

Let the Initial amount was x. Then1.4x = 91000x = 65000Original amount invested in equity fund = 7/13 of 65000 = 35000

7. (2)


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Let the numbers be x and y.Original product = xyNew Product = 2x (25% of y) = xy/2Since it is half of the original product the answer is 50%.

8. (1)Total number of key depressions by them in 1 hour = 666000/ (15 * 5) = 8880Let the number of key depressions of Raman in 1 hour be x. Thenx + 85% of x = 8880

x = 4800

9. (5)Profit % = 50 - 30 + {50 * (-30)}/ 100 = 5%

10. (2)Arpans salary in 2010 = 25920 * 100/120 * 100/120 = 18000

Solutions (11-13)

11. (3)Required probability = (3C3 + 6C3)/ 13C3 = 21/286

12. (1)Required probability = 6C2/13C2 = 5/26

13. (5)Required probability = 1 Probability that none is yellow= 1 - 9C3/13C3 = 101/143


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1. 1274 * 165 - 3215 = ? + 3261(1) 203635(2) 204734(3) 203735


2. (17.3)2 + (37.2)2 (32.6)2 = ? + 437.21(1) (12.8)2

(2) 183.16(3) 153.14(4) 164.16(5) None of these

3. (14/39 * 117/154) / (78/88 + 15/78) = ?(1) 1/3(2) 0.75(3) 1.5(4) 0.5(5) None of these

4. [ (72 + 92) * (42 + 112) 257 = ?(1) 292(2) 172(3) 223(4) 184(5) None of these

5.9216 * 2601 (43)2 = ? + (55)2

(1) 484(2) 361(3) 784(4) 632(5) None of these

5. The sum of four consecutive even numbers is 260. What would be the smallest number?(1) 60(2) 64(3) 62(4) 66(5) 70

6. The marked price of an article is Rs. 680. After two successive discounts it is sold for Rs. 408 if the firstdiscount is 25 % then the rate of second discount is(1)15%(2) 20 %(3) 30 %(4)25 %(5) None of these

7. If 5 litres of water are evaporated on boiling from 20 litres of salt solution containing 20 percent salt. Thepercentage of salt in the remaining solution is(1) 26.67(2) 22.5(3) 24.33


8. A cistern is half full of water. Pipe A can fill the remaining part in 3 minutes and pipe B in 5 minutes. Oncethe cistern is emptied, how much time will they take to fill it together completely?

Simplification + Data Interpretation


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(1) 3 minutes(2) 3 min, 30 sec(3) 3 min, 45 sec(4) 4 min(5) None of these

9. Volume of two cones are in the ratio 1 : 4 and their diameters are in the ratio 4 : 5. The ratio of their heightis(1) 1: 5

(2) 5: 4(3) 5: 16(4) 25 :64(5) None of these

Study the following information and answer the questions given below.The following Bar graph gives information about the sales of six companies A, B, C, D, E and F in three years2008, 2009 and 2010 in Rs (crores).

10. Which of the following garment companies has a fluctuating sales figure over the given period?(1) E(2) F(3) D

(4) C(5) B

11. What is the total percentage increase(approx.) in the sale of garments of company A in 2010 with respectof 2009?(1) 13% fall(2) 25% rise(3) No change(4) 21% increase(5) 17.5% decrease

12. For the total 3-year period under consideration, the nearest competitor of A is:(1) C

(2) D(3) B(4) F(5) None of these


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13. For the years 2008 and 2009, which company has the minimum rate of change of sales?(1) F(2) E(3) A(4) C(5) None of these

14. What is average (approx) sale of all companies in 2009?(1) 109

(2) 116(3) 103(4) 94(5) 123

ANSWERS

1. 42. 23. 44. 35. 1

6. (3)Let the numbers be x, x+2, x+4 and x+6. Nowx + (x+2) + (x+4) + (x+6) = 260x = 62

7. (2)Original Price = 680Price after first discount = 0.75 * 680 = 510Second discount = (510 - 408)/510 = 20%

8. (1)Amount of salt in original solution = 20% of 20 = 4Percentage of salt in new solution = 4/15 = 26.67%

9. (3)Pipe A and B can fill half the tank in 3 minutes and 5 minutes, So they can fill the empty tank in 6 min and 10 minrespectively.Time taken by them to fill the empty tank together = (6*10)/(6+10) = 3 min 45 sec

10. (4) Ratio of heights = (V1/V2) * (r2/r1)^2 = = 25 : 64

10. (5)The sales of companies A, C, D and E is always increasing while sales of company F is always decreasing. Onlycompany B has fluctuating sales figures.

11. (4)Required percentage = (160 - 132)/ 132 * 100 = 21.2%

12. (3)Total sale of Company A= 380Total sale of Company B=332Total sale of Company C=306Total sale of Company D=302Total sale of Company E=206Total sale of Company F=232

13. (1)From the graph, we can say that the sales of F in 2008 and 2009 has minimum difference and also minimum rate of

change.

14. (1) Required average = (132+136+114+114+80+80)/6 = 109.33


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Directions (1-5): Study the following arrangement carefully and answer the questions given below.

In an exhibition of watches there were three companies HMT, ROMAX and TITAN who introduced their models in the

exhibition and it is found at the last of the exhibition that total 300 customers have visited exhibition. 50%customers purchased HMT; 55% customers purchased TITAN; 45% customers purchased ROMAX. 20% of customerswho purchased HMT also purchased other two brands. Customers who purchased any of two brands are 95.Customers of only HMT are 20 more than that of only ROMAX. Customers who purchased only HMT and ROMAX are40.

1. How many of them did not purchase any of the three watches?(a) 15(b) 20(c) 05(d) 10(5) None of these

2. How many of them purchased only one brand of watches?(a) 175(b) 160(c) 165(d) 170(5) None of these

3. How many of them purchased at least two brands of watches?(a) 125(b) 105(c) 95(d) 130(5) None of these

4. How many of them didnt purchase only one ROMAX watch?(a) 160(b) 105(c) 260(d) 265(5) None of these

5. What is the total number of watches which have been sold?(a) 450(b) 445

(c) 455(d) 305(5) None of these

Directions (6-10): Following bar-graph shows the percentage of passed girls with respect to total passedstudents of two colleges A and B.

Set Theory + 2 Data Interpretation


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6. If the number of boys passed from College A and College B is 220 and 175 respectively in the year 2002, thenwhat is the difference between number of girls passed from A and B in year 2002?(a) 75(b) 80(c) 95

(d) 105(5) None of these

7. If the number of girls passed from College A and College B in year 2001 is equal to 70, then what is the sumof total number of passed students of College A and College B in the same year?(a) 445(b) 415(c) 405(d) 375(5) None of these

8. If the number of girls passed from College A in year 2004 is equal to the number of boys passed from CollegeB in year 2002 and it is 105, then what is the difference to total number of students passed from College A in

2004 and College B in year 2002?(a) 25(b) 30(c) 35(d) 40(5) None of these

9. If total number of students passed from College A and College B in year 2005 is 400 and 500 respectively,then number of girls passed from College B is how much percent more than the number of girls passed fromCollege A in the same year?(a) 12(1/2)%(b) 17(1/2)%(c) 2(2/9)%

(d) 1(1/7)%(5) None of these

10. If the number of girls passed from College A and College B in year 2003 is 200 and 240 respectively, thennumber of boys passed from College B is what percent of number of boys passed from College A in same year?(a) 80%(b) 110%(c) 120%(d) 130%(5) None of these

Directions (11-15): Following line graph shows the income and expenditure of person A and B. Answer followingquestion based on this graph.


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11. If the percentage profit gained by A is 16% and B is 20% in the year 2003, then what is the differencebetween expenditure of B and income of A in the same year?(a) 10 lakhs(b) 12 lakhs(c) 15 lakhs

(d) 16 lakhs(5) None of these

12. If the percentage profit gained by A and B are equal to 20% in the year 2001, then what is the ratio of Asincome and Bs expenditure?(a) 3 : 5(b) 2 : 3(c) 5 : 4(d) 6 : 5(5) None of these

13. If the income of A and B is equal in year 2002 then what is the percentage profit gained by A?(a) 15%(b) 16(2/3)%(c) 18(1/3)%(d) 20%(5) None of these

14. If the expenditure of A and B is same in the year 2004 then what is the percentage profit gained by B in thesame year?(a) 36%(b) 24%(c) 28%(4) 30%(5) None of these

15. If the amount of profit gained by A and B is same in the year 2006 then what will be the income of A in thesame year?(a) 30 lakhs(b) 20 lakhs(c) 15 lakhs(4) 10 lakhs(5) None of these

ANSWERS


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1. 32. 43. 14. 45. 1

Solutions (6-10)

6. 4;Total number of passed students of College A

= (100*220)/55 = 400Number of girls passed = 45% of 400 = 180Total number of passed students of College B= (100*175)/70 = 250Number of girls passed = 30% of 250 = 75Difference = 180 72 = 105

7.4;For College A,35% of girls = 70Total student = (70*100)/35 = 200

For College B,

40% of girls = 70Total student = (70*100)/40 = 175Sum = 200 + 175 = 375

8. 1;Total students passed of College A in 2004 = 175Total students passed of College B in 2002 = 150Difference = 175 150 = 25

9. 5;Number of girls passed of College A= (44*400)/100 = 176Number of girls passed of College B

= (36*500)/100 = 180% difference = (180 - 176)/176 * 100 = 4/176 * 100 = 2.27

10. 4;Number of girls passed from College A = Number of boys passed from College A = 200 Number of girls passed fromCollege B = 48% = 240Total passed = (240*100)/48 = 500Number of passed boys = 52% of 500 = 260% = 260/200 * 100 = 130%

11. 1;Income of A = 250 * 116/100 = 290 lakhs

Expenditure of B = 360 * 100/120 = 300 lakhsDifference = 300 290 = 10 lakhs

12. 4;Expenditure of A = 200


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Profit = 20%Income = 240Ratio = 240/200 = 6 : 5

13. 2;Expenditure of A = 300Income of A = Income of B = 350Profit of A = (350 - 300)/300 * 100 = 50/3 = 16(2/3)%

14. 5;Income of B = 450Expenditure of B = 350% profit = (450 - 350)/350 * 100 = 28 (4/7)%

15. 5; Data inadequate.


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Directions (1-5): Study the following diagrams carefully and answer the given questions.Polio cases reported from various states during the given years.

Total Polio Cases in India

1. In which state the difference between polio cases in 2002 and 2003 is 11, and which had zero incidence in2001?(1) W.B.(2) Delhi

(3) M.P.(4) Haryana(5) Bihar

2. What is the difference between the average number of polio cases of the five given states in 2002 and that in2003?(1) 35(2) 37(3) 38(4) 39(5) None of these

3. Approximately what per cent of polio cases was reported in Bihar in 2002 with respect to total cases

reported in India that year?(1) 6%(2) 6.5%(3) 7%(4) 7.5%(5) None of these

4. Polio cases in Haryana in 2003 and Bihar in 2001 together is what per cent of the polio cases in Delhi in2002?(1) 120%(2) 80%(3) 125%(4) 75%

(5) None of these

5. Find the ratio between the total no. of cases in the five given states to that in the rest of country in 2001.(1) 9 : 67(2) 2 : 29

Set Theory + 2 Data Interpretation


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(3) 29 : 4(4) 9 : 58(5) None of these

Directions (6-10): Following line graph shows the ratio of import and export of two companies Aand B over theyears 2004-2009. Answer the questions based on this graph.

6. If the import of Company A is Rs 48 lakhs in year 2007 then what is its export in that year?(1) 40 lakhs(2) 57.6 lakhs(3) 42 lakhs(4) 54 lakhs(5) None of these

7. What is the ratio of number of years in which Company As export is less than import and the number ofyears in which Company Bs import less than export?(1) 4 : 1(2) 1 : 3(3) 5 : 6(4) 3 : 2(5) None of these

8. If the export of Company A in 2006 and export of Company B in 2007 is 75 lakhs each, then the import ofCompany A in 2006 is what percent of the import of Company B in 2007?(1) 75%(2) 80%(3) 100%(4) 120%(5) 150%

9. If the import of Company B is 60 lakhs in 2008, then what is the export of Company A in the same year?(1) 30 lakhs

(2) 45 lakhs(3) 60 lakhs(4) 90 lakhs(5) None of these

10. What is the ratio of the ratio of import to export of Company B in year 2004 and the ratio of export toimport of Company A in year 2007?(1) 2 : 3(2) 3 : 2(3) 5 : 6(4) 4 : 5(5) 24 : 25

Directions (11-17): Study the following information carefully and answer the given questions.

In a conference total 240 students are there. Out of them 25% konw Latin, 50% know French and 62.5% knowEnglish. 10 students know ail three languages. 8(1/3) % of students know Latin and French but does not knowEnglish and the same number of students know Latin and English but does not know French.


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11. How man students are there who know both English and French but do not know Latin?(1) 10(2) 20(3) 30(4) 40(5) 50

12. How many students are there who know only French?(1) 60

(2) 90(3) 120(4) 80(5) 75

13. How many students are there who know exactly one language?(1) 240(2) 220(3) 200(4) 180(5) 160

14. How many students are there who know exactly two languages?

(1) 60(2) 70(3) 80(4) 90(5) 120

15. How many students know at most two language?(1) 60(2) 70(3) 220(4) 230(5) 240

16. In a lottery, there are 5 prizes and 10 blanks in tickets. A ticket is drawn at random. What is the probabilityof getting a prize?(1) 1/7(2) 2/7(3) 1/3(4) 2/3(5) None of these

17. In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that onegirls and two boys are selected is(1) 4/25(2) 25/117(3) 1/50(4) 21/46(5) None of these

ANSWERS

1. 3; MP A slight look is sufficient to answer this question.

2. 2; Reqd difference= ((37-3) + (39-28) + (121-13) + (21-10)+(24-3))/5= 185/5 = 37

3. 4; Total P cases in Bihar (2002) = 121Total P cases in India (2002) = 1600Reqd answer = 121/1600 100 = 7.5% (approx)

4. 3; Reqd percentage = (3+27)/24 100 = 125%


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5. 4; Total P cases in India (2001) = 268Total P cases in the given states (2001) = 36Hence, reqd. ratio = 36/(268 - 36) = 36/232 = 9 : 58.

6. 1; i/e = 1.2e = i/1.2 = 48/1.2 = 40

7. 2; For A, in years 2007 and 2009, import > export

For B, in all six years, import < exportRatio = 2/6 = 1/3 = 1:3

8. 2; For A, in 2006, i/e = 0.64Income = 0.64 75 = 48For B, in 2007, i/e = 0.8i = 0.8 75 = 60% = 48/60 100 = 80%

9. 5; Data is not sufficient.

10. 5; In 2004, iB / eB = 0.8 = 4/5

In 2007, iA / eA = 1.2 = 6/5

eA / iA = 5/6Ratio between them = (4/5)/(5/6) = 24:25

Solution for 11 - 17

11. 3; Let both French and Latin students is x in a class10 + 20 + 10 + 10 + 90 x + 30 + 120 x = 240x = 30

12. 113. 514. 215. 416. 3; n(S) = 5 + 10 = 15n(E) = 5P(E) = n(E)/n(S) = 5/15 = 1/3

17. 4; n(S) = 25C3 = (25*24*23)/(3*2*1) = 2300n(E) = 10C1 = 15C2 = 10 (15*14)/(2*1) = 10 105 = 1050

P(E) = n(E)/n(S) = 1050/2300 = 21/46


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Directions (1-5): In the following number series only one number is wrong. Find out the wrong number-

1. 6 3.5 4 7.5 34.5 276.5(1) 3.5

(2) 34.5(3) 7.5(4) 276.5(5) None of these

2. 8 9 20 64 256 1285(1) 20(2) 9(3) 8(4) 256(5) None of these

3. 9 17 33 64 129(1) 17(2) 129(3) 9(4) 64(5) None of these

4. 2 15 92 462 1856(1) 2(2) 462(3) 1856(4) 15

(5) None of these

5. 286 142 71 34 16 7(1) 71(2) 286(3) 34(4) 16(5) None of these

Directions (6-10): Read the following data carefully and answer the questions given below

No. of students studying different syllabus in 2002 and 2003 in state 'P'

6. From 2002 to 2003, in which syllabus the no. of studying students decreases?(1) Science(2) Art(3) Agriculture(4) Medicine

Series + Data Interpretation + Data Sufficiency


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(5) None of these

7. From 2002 to 2003, in which syllabus percent increase in number of studying students was minimum?(1) Medicine(2) Art(3) Pharmacy(4) Science(5) None of these

8. What is the total number of students studying commerce, engineering and medicine in 2003?(1) 14900(2) 15800(3) 16000(4) 15900(5) None of these

9. What is the approximate percent increase in no. of students studying engineering from 2002 to 2003?(1) 28%(2) 30%(3) 26%(4) 22%(5) None of these

10. What is the total number of students studying agriculture, pharmacy and medicine in 2002?(1) 6500(2) 6000(3) 6200(4) 5800(5) None of these

Directions (11-15): The questions given below contain two statements giving certain data. You have to decidewhether the data given in the statements are sufficient for answering the question.

Mark answer

(1) If statement I alone is sufficient but statement II alone is not sufficient.(2) If statement II alone is sufficient but statement I alone is not sufficient.(3) If each statement alone (either I or II) is sufficient.(4) If statement I and II together are not sufficient.(5) If both statement together are sufficient, but neither statement alone is sufficient.

11. What is the teacher's age?(I) The average are of 10 students and their teacher is 25 years.(II) The teacher's age is 10 years more than the age of the oldest student.

12. How many marks did Akshay get?(I) The marks got by Akshay is equal to average marks of Namita and Mona.(II) Namita got 80 marks which is 60% more than the marks get by Mona.

13. What amount of profit did Sheetal make by selling a watch?(I) She sold it at 20 percent profit on the labelled price.(II) She bought the watch at 50 percent -discount on labelled price.

14. What is the rate of simple interest per annum?(I) The sum tripples in 20 years at simple interest.(II) The difference between sum and simple interest in 10 years is Rs. 1000

15. 3 boys and 1 girl completed a piece of work in 4 days. In how many days will 2 girls and 2 boys completethe same work?(I) 5 girls completed the same works in 4 days.

(II) 2 boys and 1 girl completed the same work in 5 days.

ANSWERS


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1. 3; 6 .5 + .5 = 3.53.5 1 + .5 = 44 2 + .5 = 8.58.5 4 + .5 = 34.534.5 8 + .5 = 276.5

2. 5; 8 1 + 1 = 99 2 + 2 = 6320 3 + 3 = 63

63 4 + 4 = 256256 5 + 5 = 1285

3. 4; 9 2 1 = 1717 2 1 = 3333 2 1 = 6565 2 1 = 129

4. 2; 2 7 + 1 = 1515 6 + 2 = 9292 5 + 3 = 463463 4 + 4 = 1856

5. 1; 286 2 1 = 142142 2 1 = 7070 2 1 = 3434 2 1 = 1616 2 1 = 7

Syllabus No of students in2002

No of students in2003

Science 6000 6600Commerce 5500 7200

Art 3000 3300

Medicine 2750 3000

Pharmacy 1500 2700

Eng. 4500 5700

Agriculture 1750 1500

Solution - 6-10

6. (3) In Agriculture

7. (1) Medicine = (2750 3000)/2750 * 100= 250/2750 * 100

= 100/11 = 9.09%

8. (4) Total number of students in studying in Commerce, Engineering & Medicine in 2003 = 7200 + 5700+ 3000 =15900

9. (3) Req % = (5700 4500)/4500 * 100 = 1200/4500 * 100 = 26.66% = 26

10. (2) Students studying in Agriculture+ Pharmacy+ Medicine = 1750+ 1500+2750 = 6000

11. 4; Data inadequate12. 5; State (I) from.Akshay = (Namita + Mona)/2

Statement (I) from.Namita = Mona 160/10080 = Mona 160/100Mona = 50Akshay = (80 + 50)/ 2= 6513. 4; Data inadequate


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14. 1; Statement (I) from2 = (1 * r * 20)/100r = 10%Statement I alone is sufficient but statement II is not15. 3; From (I)Time taken by 1 girls to complete the work = 5 4 = 20 daysTime taken by 2 girls to complete the work = 20/2 = 10 days

Time taken by 2 boys to complete the work = 1/4 - 1/20 = 5 daysFrom (II)We can find the ratio of numbers of boys and girls. So either of the statement is necessary.


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Directions (15): Study the given information carefully and answer the questions that follow

An urn contains 6 red, 4 blue, 2 green and 3 yellow marbles.

1. If two marbles are picked at random, what is the probability that both are red?(1) 1/3(2) 1/7(3) 3/5(4) 2/3(5) None of these

2. If three marbles are picked at random, what is the probability that two are blue and one is yellow?(1) 10/455(2) 35/355(3) 18/455

(4) 18/35(5) None of these

3. If four marbles are picked at random, what is the probability that at least one is blue?(1) 2/5(2) 60/65(3) 44/455(4) 22/21q(5) None of these

4. If two marbles are picked at random, what is the probability that either both are green or both are yellow?(1) 3/5(2) 2/25(3) 14/25(4) 4/105(5) None of these

5. If four marbles are picked at random, what is the probability that one is green, two are blue and one is red?(1) 24/455(2) 14/455(3) 13/55(4) 134/165(5) None of these

Directions (610): Study the following graph carefully and answer the questions that follow:

Number of candidates Appeared in the examination and percentage of students passed from various colleges

Table is given at the end.

6. What is the ratio between the number of students passed from institute U in 2007 and the number ofstudents passed from institute Q in 2005 respectively?(1) 95: 154(2) 154: 95(3) 36: 77(4) 77: 36(5) None of these

7. What is the ratio between the average number of students appeared from institute P for all the years and

that from institute S respectively?(1) 463: 353(2) 353: 463(3) 461: 333(4) 333 : 461(5) None of these

Probability + Data Interpretation


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8. What is the total number of students passed from all institutes together in year 2010?(1) 3790(2) 3970(3) 2590(4) 2930(5) None of these

9. What is the overall percentage of students passed from all institutes together in 2008? (rounded off to

nearest integer)(1) 68(2) 70(3) 69(4) 71(5) None of these

10. Approximately, what is the overall percentage of students passed from institute R for all the years?(1) 60(2) 70(3) 75(4) 55(5) 65

Year Colleges

P Q R S T U

App %pass App %pass App %pass App %pass App %pass App %pass

2005 900 60 1080 40 600 65 1280 50 1200 45 1360 60

2006 1040 50 860 70 700 60 1240 40 1160 70 1120 70

2007 860 60 980 70 760 50 1160 50 1360 70 1400 66

2008 800 65 1200 75 900 70 1200 75 1440 60 1560 702009 960 50 1140 50 800 75 1400 65 1400 48 1120 50

2010 1100 40 900 60 1000 68 1500 60 900 50 1300 60

2011 1000 58 940 60 940 60 1440 70 1120 60 1440 50

ANSWERS

1. (2) Required probability = 6C2/15C2 = 1/7

2. (3) (4C2 * 3C1)/15C3 = 18/455

3. (5) Required Probability = 1 Probability that none of the

Four marbles is blue = 1 - 11C4/15C4 = 69/91

4. (4) Required probability = (2C2 + 3C2)/15C2 = 4/105

5. (1) Required Probability = (2C1 * 4C2 * 6C1)/ 15C4 = 24/455

6. (4) Number of students passed from institute U in 2007 = 66% of 1400 = 924Number of students passed from institute Q in 2005 = 40% of 1080 = 432Required ratio = 924: 432 = 77: 36

7. (4) Average number of students appeared from institute P for all the years = 6660/7Average number of students appeared from institute S for all the years = 9220/7Required ratio = 6660: 9220 = 333: 461

8. (1) Required sum = 40% of 1100 + 60% of 900 + 68% of1000 + 60% of 1500 + 50% of 900 + 60% of 1300= 440 + 540 + 680 + 900 + 450 + 780 = 3790


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9. (3) Total number of students appeared in 2008 = 800 +1200 + 900 + 1200 + 1440 + 1560 =7100Total Number of students passed in 2008 = 520 +900 + 630 + 900 + 864 + 1092 = 4906Required percentage = 4906/7100 * 100 = 69.06

10. (5) Total number of students appeared from institute R= 5700

Total Number of students Passed from institute R = 3664

Required percentage = 3664/5700 * 100 = 65approx


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Directions (1-5): Study the following graph carefully and answer the questions given below.Income and Expenditure of various companies during a year (Profit = Income Expenditure)

1.What is the ratio of profit incurred by companies A & C together to profit incurred by companies D & Etogether?(1) 14: 16(2) 8 : 10(3) 5 :7(4) 3 : 5(5) None of these

2. What is the average expenditure incurred by all the companies together?(1) 275000(2) 2750000(3) 27500000(4) 2750(5) None of these

3. What is the approximate difference between the per cent profit earned by company A and company D?(1) 5(2) 15(3) 25(4) 20(5) 35

4. Income earned by company C is (approx.) what percent of the expenditures incurred by company B?(1) 76(2) 74(3) 71(4) 79(5) 82

5. What is the average income earned by all the companies together?(1) 3,50,00,000(2) 3,45,00,000(3) 35,00,000

(4) 3,35,00,000(5) None of these

Directions (610): Study the following Pie-chart carefully to answer these questions.



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Total students = 6500,

Percentage distribution of students in different courses

6. What is the value of half of the difference between the number of students in MBBS and MBA?(1) 70(2) 260(3) 195

(4) 65(5) 130

7. How much more percentage (approx) of students are in MCA as compared to students in MBA?(1) 88(2) 80(3) 85(4) 75(5) None of these

8. What is the total number of students in BEd, B.tech and MBBS together?(1) 3454(2) 5445

(3) 4545(4) 4095(5) None of these

9. What is the respective ratio between the number of students in MCA and the number of students in MBBS?(1) 17 : 24(2) 41 : 65(3) 65 : 41(4) 24 : 17(5) None of these

10. Number of students in Btech is (approx) what percentage of the number of students in B.Ed(1) 130

(2) 125(3) 122(4) 115(5) None of these

Directions (11-15): Study the graph carefully to answer the questions that follow

In a school the periodical examination are held every second month. In a session during April 2001 - March 2002, astudent of Class IX appeared for each of the periodical exams. The aggregate marks obtained by him ineach periodical exam are represented in the line-graph given below.Marks Obtained by student in five Periodical Held in Every Two Months during the Year in the Session 2001 - 2002.Maximum Marks in each periodical exam = 500


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11. In which periodical exams did the student obtain the highest percentage increase in marks over theprevious periodical exams?(1) June(2) August(3) Oct(4) Dec(5) Both Aug and Dec

12. The total number of marks obtained in Dec. 01, is what percent of the total marks obtained in April 01?(1) 105%(2) 108%

(3) 119%(4) 150.5%(5) None of these

13. What is the percentage of marks obtained by the student in the periodical exams of August, 01 and Oct, 01taken together?(1) 88%(2) 90%(3) 92%(4) 96%(5) None of these

14. What are the average marks obtained by the student in all the periodical exams during the last session?

(1) 465(2) 450(3) 440(4) 460(5) None of these

15. In how many periodical exams, the student got less than 85% marks?(1) None(2) one(3) two(4) Three(5) four

ANSWERS1. (1) Profit of company A = 3.5 2.25 = 1.25Profit of company C = 2.5 2 = 0.5Profit of company D = 4.25 3.5 = 0.75Profit of company E = 3.75 2.5 = 1.25Required ratio = (1.25 + 0.5) : (0.75 + 1.25) = 7 : 8 = 14 : 16

2. (3) Required average = 13.75/5 crores = 27500000

3. (2) Profit percentage of company A = (1.25/2.25)100 = 55.55Profit percentage of company D = (0.75/3.5)100 = 21.42Required difference = 34.13

4. (3) Required percentage = (2.5/3.5)100 = 71.42

5. (2) Required average = 71.25/5 = 34500000


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6. (5) Required value = 2% of 6500 =130

7. (3) Required percentage = (11/13)100 = 85

8. (4) Required number of students = (20 + 26 + 17)% of6500 = 63% of 6500 = 4095

9. (4) Required ratio = 24 : 17

10. (1) Required percentage = 26/20 * 100 = 130

11. (2) From the observations, we can say that maximum percentage increase was from June to Aug.

12. (1) Required Percentage = 440/420 * 100

13. (5) Required Percentage = (460+480)/1000 * 100

14. (3) Average = 2200/5

15. (3) 85% marks = 425. The student received less than 425 marks in Apr (420) and June (400) only.


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1.2900 498 251 = ? 8

(1) 600

(2) 670

(3) 770(4) 750

(5) 730

2. 89.998% of 598.9 + 51.002% of 899.99 171.015 = ?

(1) 990

(2) 830

(3) 910

(4) 870

(5) 980

3. (341/20.002) (511/30.07) (179.909/49.919) = ?

(1) 36

(2) 7.2

(3) 72

(4) 3.6

(5) 1.8

4. 8999 90.005 95.998 = ? 20.999

(1) 420

(2) 320

(3) 540

(4) 525(5) 457

5. (39.99)2 (9.9)2 (15.1)2 = ?

(1) 1375

(2) 1275

(3) 1100

(4) 1175

(5) 725

Directions (6 10): What will come in place of the question-mark (?) in the following questions?

6. (13/18) of 24% of 1023 = 120 + ?

(1) 60

(2) 57

(3) 87

(4) 120

(5) None of these

7. 5322 8241 + 3642 + 3120 = ? + 1203

(1) 2640

(2) 2569

(3) 1639

(4) 2549

(5) None of these

8. 53 25 625 32 =? 42

(1) 132

Simplification + Series


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(2) 157

(3) 155

(4) 133

(5) None of these

9.(58 10 + 120 + 29) = (?)2

(1) 27

(2) 27

(3) 272(4) 729

(5) 725

10.62 362 = 6? 216

(1) 4

(2) 3

(3) 6

(4) 2

(5) None of these

Directions (1115): What will come in the place of the question mark (?) in the following number series?

11. 13 16 14 17 15 18 (?)

(1) 16

(2) 15

(3) 14

(4) 21

(5) None of these

12. 25 50 35 70 55 110 95 (?)

(1) 196

(2) 80

(3) 185(4) 190

(5) None of these

13. 10 14 26 50 90 (?)

(1) 100

(2) 125

(3) 150

(4) 155

(5) None of these

14. 2 8 20 44 92 (?)(1)189

(2)188

(3) 288

(4) 818

(5) None of these

15. 15 21 33 51 75 (?)

(1) 103

(2) 102

(3) 105

(4) 95

(5) None of these

ANSWERS

1. (1)


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Explanations -

? =22904982518 5422168600

2. (2)

Explanations -

? = 89.998% of598.9+51.002% of899.99 - 171.01590% of600 + 51% of900 171.05 540+459 171 8303. (4)

Explanations -

? = (341/20.002) (511/30.07) * (179.909/49.919) = ?

340/20 * 30/510 * 180/50 3.64. (5)

Explanations -

? = 899990.00595.99820.999 9000909621 960021 457

5. (2)

Explanations -

? = 39.992 9.92 14.92

402 102 152

12756. (2)

Explanations -

? = (13/18) of 24% of 1203 120= (13/18)*(24/100)*1203-120

= ((13*4*341)/100) 120= 177.32 120= 57 (approx)

7. (5)

Explanations -

? = 5322 8241 + 3642 +3120 1023 = 2820? = 53 * 25 625 32 + 42

= 125 * 25 25 9 + 16= 125 + 7

= 1328. (1)

Explanations -

(1) ? = 53 * 25 625 32 + 42

= 53 * 25 25 9+16= 125 + 7

= 132

9. (2)

Explanations -

(?)2 = (58 * 10 + +29)729 = 27

? = 27

10. (2)

Explanations -

6? = (62 362)/ 216


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6? = (62 64)/63

6? = 63

? = 3

11. (1)

Explanations -

13, 16, 14, 17, 15, 18, (16)

+3 -2 +3 -2 +3 -2

12. (4)Explanations -

25, 50, 35, 70, 55, 110, 95, (190)

2 -15 2 -15 2 -15 2

13. (3)

Explanations -

10, 14, 26, 50, 90, (150)

+4 +12 +24 +40 +60

+8 +12 +16 +20

14. (2)

Explanations -

2 8 20 44 92 (188) +6 +12 +24 +48 +96

15. (3)

Explanations -

(3) 15 21 33 51 75 (105)

+6 +12 +18 +24 +30


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1. A man sells an article at a gain of 20%. If he had bought it at 20% less and sold it for Rs.264 less, he wouldhave still gained 20%. The cost price of the article is:(1) Rs.2400(2) Rs.1100

(3) Rs.2640(4) Rs.2635(5) None of these

2. The compound interest on a certain sum for 2 years at 20% per annum is Rs. 880. The simple interest on thesame sum for double the time at half the rate percent per annum is:(1) Rs. 800(2) Rs.1000(3) Rs. 1200(4) Rs. 1600(5) None of these

3. Ramans monthly expenses is six time Ratans monthly expenses. Ratans monthly expenses is thirty percentmore than Govinds monthly expenses. Govinds monthly expenses is Rs. 64000 /. What is Ramans AnnualExpenses?(1) 83,200/-(2) 9, 98,400/-(3) 4, 99,200/-(4) 104,400/-(5) None of these

4. In a school Teachers are 5200, out of which 45 percent are males and 70 percent of the males are either 30years or older. How many males Teachers in School who are younger than 30 years?(1) 805(2) 702(3) 600(4) 700(5) None of these

5. Suraj bought 40 book, 16 packets of pencils, 12 pack water colours and 14 copies. The price of one book isRs.14/-, one packet of pencils is Rs. 44/- , one packet of water colour is 300/-and one copy is Rs 28/- more thanthe combined price of one book and one packet of pencils. How much amount did Suraj pay to the shopkeeper?(1) Rs. 6982/-(2) Rs.3452/-(3) Rs.6334/-(4) Rs.6012/-(5) None of these

6. Seema scored 456 marks in an exam and sita got 54 percent marks in the same exam which is 24 marks lessthan Seema .If the minimum passing marks in the exam is 34 percent , then how much more marks did Seemascore than the minimum passing marks?(1) 184(2) 196(3) 190(4) 180(5) None of these

7. The respective ratio between the present ages of Sohan ,Sumit and Sarita is 6 : 8 : 10 . If the average oftheir present ages is 28 years then what would be the sum of the ages of Sohan and Sumit together after 5years ?

(1) 45 years(2) 55years(3) 52years(4) 59years(5) None of these

Verbal


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8. A 480 meter long train moving with an average speed of 144 km/hr crosses a platform in 36 seconds. A mancrosses the same platform in 8 minutes. What is the speed of man in meter/seconds?(1) 2.4(2) 1.5(3) 1.6(4) 2.0(5) None of these

9. The largest and the smallest angles of a triangle are in the ratio of 6: 2 respectively. The second largest angle

of the triangle is equal to 44. What is the value of 150 percent of the largest angle of the triangle?(1) 149(2) 129(3) 153(4) 173(5) None of these

10. A sum of rupees 731 /- is divided among Raman,Bobby and Chirag such that Raman receives 25% morethan Bobby and Bobby receives 25% less than Chirag .What is Chirag share in the amount?(1) 172/-(2) 200/-(3) 262/-(4) 258/-

(5) None of these

ANSWERS

1. (2)

Let CP = a, SP = 1.2 a New CP = 0.8 a

New SP = 1.2 0.8 a = 0.96 a

1.2a 0.94a = 264 0.24a = 264

a = 1100

2. (1)

Let Principal = P Compound interest at 20% per annum for 2 years

= 44% of P (20 + 20 + 4) 44% of P = 880

P = 2000

Simple Interest for 4 years at 10% per annum

=40% of 2000 = 800

3. (5)

Govinds monthly expanses = 64000 Ratans monthly expenses = 64000 + 30% of 64000 = 83,200 Ramans monthly expenses = 6 83,200 = 4, 99,200 Ramans annual expenses = 59, 90,400

4. (2) Total number of teachers in school = 5200

Number of male teachers = 45% of 5200 = 2340 Number of male teachers who are less than 30 years =

30% of 2340 = 702

5. (5) Required amount = 40 14 + 16 44 + 12 300 + 14 (14 + 44 + 28)

6. (1) Score of Sita = 456 - 24 = 432

Let maximum marks be A, then 54% of A = 432

A = 800

Passing marks = 34% of 800 = 272 Required difference = 456 272 = 184

7. (4) Let the ages of Sohan, Sumit & Sarita are 6a, 8a &10a.

Average age = (6a + 8a +10a)/3 = 8a 8a = 28 a = 3.5

Sum of the ages of Sohan and Sumit together after 5 years = 6a + 5 + 8a + 5 =14a + 10 =59 years

8. (4)


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Speed of train = 144 5/18 =40 m/s

Let length of train be A, then(480 +A)/40 = 36

480 +A = 1440

A = 960.

Now, speed of man = 960/480 = 2m/s

9. (3) Let the angles be 6a and 2a.

6a + 2a + 44 = 180

8a = 136

a = 17. Largest angle = 6 17 = 102

Required value = 1.5 102 = 153

10. (5) Let Chirags share = a

Bobbys share = 0.75a Ramans share = 1.25 0.75a =0.9375a a + 0.75a + 0.9375a = 2.6875a =731

a = 272


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Directions (1-4): What value will come in place of the question-mark (?) in the following questions?

1. (5 * 11)% of (35 * 34) + 126.2 = 398.7 + ?(1) 412

(2) 382

(3) 418

(4) 428

(5) None of these

2. 13 * 595 1225 = (?)3 + 157(1) 44(2) (64)3

(3) 4


3. (20 * 1.6)3 (20 * 3.2)3 * (8)7 = (4) ?+3

(1) 7

(2) 6

(3) 10

(4) 15

(5) None of these

4.

Directions (5-7): What approximate value will come in place of question-mark (?) in the following questions?

5. 226007 + 258982 + 27498 420003 22969 = ?(1) 272

(2) 242

(3) 260

(4) 317

(5) 365

6. 27% of 406 + 22% of 1125 = ?

(1) 440

(2) 466(3) 334

(4) 358

(5) 318

7. (4.5)2 * 130.42 + 11.05 * 54.85 = ?

Simplification + Approximation + Series


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(1) 3120

(2) 3240

(3) 3850

(4) 3660

(5) None of these

Directions (8-10): Find out the wrong number in the following number series.

8. 110, 156, 210, 272, 342, 424

(1) 424(2) 210

(3) 272

(4) 342

(5) None of these

9. 35, 110, 335, 1710, 1285, 1910

(1) 110

(2) 335

(3) 710

(4) 1285

(5) None of these

10. 15, 42, 167, 512, 1239, 2570, 4767(1) 42

(2) 167

(3) 512

(4) 1239

(5) None of these

ANSWERS

1. (2)

2. (3)

3. (2)4. (2)

5. (4)

6. (4)

7. (3)

8. (1)

9. (4)

10. (3)


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What should come in place of question mark (?) in the following equation?1. 637.28 781.47 + 257.39 = ?

(a) 113.20(b) 104.30(c) 122.40(d) 133.50(e) None of these

2. 6% of 350 + 2% of 700 = ?% of 1400(a) 2(b) 2.5(c) 3

(d) 4(e) None of these

3. 4672 40 4 = ?


4. 7 ? = 546 4


5. 672 24 18 + 153 - 345 = ?(1) 311(2) 322(3) 312


6. 67.39 - 11.78 + 19.63 = ? + 22.41(1) 52.73(2) 52.83(3) 65.78(4) 64.78(5) None of these

7. 44% of 125 + 75% of 840 = ?

(1) 600(2) 666(3) 685(4) 765(5) None of these

Simplification


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8. 1.2 x 0.9 0.25 x 24 = ?(1) 204.92(2) 125.92(3) 118.46(4) 103.68(5) None of these

9. 22% of 250 + 35% of 460 = ?1) 2162) 2263) 2324) 2425) None of these

10. 0.6 x 1.8 0.5 x 12 = ?1) 24.922) 25.92

3) 18.464) 17.465) None of these

ANSWERS1. a2. b3. c4. d5. 36. 2

7. 38. 49. 110. 2


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Directions (Q. 1-5): Following graph shows the ratio of expenditure to income of two companies A and B duringthe period of 2001 to 2007 -

1. If the expenditure of Company A in 2004 is Rs 36 lakhs, then what is its income in that year?1) 42 lakhs2) 48 lakhs3) 54 lakhs4) 60 lakhs5) 75 lakhs

2. If the income of Company A in 2002 and expenditure of Company B in the same year is equal to Rs 60 lakhsthen what is the difference between their net profit in 2002?

1) 6 lakhs2) 8 lakhs3) 10 lakhs4) 12 lakhs5) None of these

3. If the income of Company A in 2001 and income of Company B in 2005 is Rs 50 lakhs and Rs 80 lakhsrespectively then the profit gained by Company A in 2001 is how much percent more than that of the profitgained by Company B in 2005?1) 62.5%2) 67.5%3) 82.5%4) 87.5%

5) 75%

4. Ratio of expenditure to income of Company B in 2004 is how much percent more than that of ratio ofexpenditure to income of Company A in 2005?1) 10%2) 20%3) 30%4) 40%5) 50%

5. If income of Company A in 2006 is Rs 75 lakhs then what is the expenditure of Company B in the same year?1) 60 lakhs2) 75 lakhs

3) 90 lakhs4) 87.5 lakhs5) None of these

Directions (Q. 6-10): Following pie chart shows the monthly expenditure of a man on different items. His



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income is Rs 8,000 monthly.

6. If his salary is Rs 8,000 then how much he pays for food?1) Rs 18002) Rs 19203) Rs 20404) Rs 22005) None of these

7. What is the angle shown by medical expenditure?1) 222) 21 (1/2)3) 344) 29 (1/5)5) 57 (3/5)

8. What is his monthly saving?1) Rs 19202) Rs 17203) Rs 11204) Rs 12605) None of these

9. What is the difference between money he spent on education and medical purposes?1) Rs 3602) Rs 2603) Rs 1604) Rs 605) None of these

10. If the salary is raised to Rs 12,000 and distribution on various items remains the same, then how much hespends on medical charges?1) Rs 18002) Rs 20403) Rs 22004) Rs 19205) None of these

ANSWERS1. 42. 23. 44. 45. 56. 27. 5

8. 39. 310. 4


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Directions (Q. 1 - 5): Each question below is followed by two statements I and II. You are to determine whether the data given

in the statement is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose

among the possible answers.

Give answer

1) If the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.

2) If the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.

3) If both statements I and II together are needed to answer the question.

4) If either the statement I alone or the statement II alone is sufficient to answer the question.

5) If you cannot get the answer from the statements I and II together, but need even more data.

1. A man covers a distance by car. How many kilometer does he cover?

I. Had he moved 10 kmph faster, he would have taken one hour less.

II. Had he moved 8 kmph slower, he would have taken one hour more.

2. ((x

y)/x)I. x/y = 4/3

II. y = 3

3. Find the three consecutive positive integer.

I. If their product is 120.

II. If their sum is 15?

4. What is the area of a equilateral triangle?

I. Height of the triangle is 8 m.

II. Co-ordinates of two vertices are (3, 3) & (7, 5).

5. Two trains are moving on parallel tracks in opposite direction. In how many seconds will the trains cross each othercompletely?

I. Ratio of their speeds is 3 : 4.

II. First train crosses a pole in 5 seconds and second train crosses the pole in 6 seconds.

Directions (Q. 6- 10): Following line graph shows percentage profit of two companies A and B over the years 2000-2005.

Answer the given questions based on this graph?

6. If in year 2002, the expenditure of Company B was Rs 45 lakhs, then what is the income of Company B in the same year?

1) 50 lakhs

2) 52 lakhs3) 54 lakhs

4) 55 lakhs

5) 60 lakhs

7. For how many years the difference of the net profit for two companies was the maximum?

Data Sufficiency + Data Interpretation


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1) 1

2) 2

3) 3

4) Data inadequate

5) None of these

8. If, for Company A, the expenditure in year 2000 and 2002 was 1.2 crores together, then what is the total income in these

years?

1) 1.86 crores

2) 1.8 crores

3) 1.92 crores

4) Data inadequate

5) None of these

9. In how many years, the total income is less than double the total expenditure in that year for Company B?

1) 1

2) 2

3) 3

4) 4

5) 5

10. If the income of Company A in 2000 and Company B in 2004 is same Rs 42 lakhs, then what is the total expenditure of

Company A in 2000 and Company B in 2004?

1) 52 lakhs

2) 64 lakhs

3) 56 lakhs

4) 60 lakhs

5) None of these

ANSWERS

1. 3;

Let the distance be D km. Time is T hours. Speed = S km/hr.

Using Statement I:

D = S T = (S + 10) (T 1) S = 10T 10Using Statement II:

D = S T = (S 8) (T + 1) S = 8T + 8Using Both:

10T 10 = 8T + 8 T = 9 Hours, S = 80 km/hrD = 9 80 = 720 Km

So the Answer is (3) ie., using both statements together.

2. 1

((x - t)/ x) = (1 (y/x))

3. 4;

From statement I alone we can find a unique solution as it is given that three integers are consecutive and positive with product

120. So the unique integers will be 4, 5, 6.

From statement II alone we can find a unique solution.

Let the positive integers be a, a + 1, a + 2.

So, a + a + 1 + a + 2 = 15

a = 4 and the integers are 4, 5, and 6.

4. 4; Using Statement I:

We know height of equilateral triangle is .

Here height is given so we can find the side and hence the area of triangle.

Using Statement II:As the co-ordinates of two vertices are given we can find the length of the side of the triangle and hence the area of the

equilalteral triangle.

5. 3; Let the length of trains be L1 and L2.


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Using Statement I:

We can only find their speeds as 3x and 4x.

Using Statement II:

We can find L1 = 5 Speed of Trains,

L2 = 6 Speed of second Trains

Using Both:

L1 = 5 3x

L2 = 6 4x

Required time to cross each other completely is

(L1 + L2)/ (3x + 4x) = (15x + 24x)/ 7x = 39/7

Hence, the answer is (3).

6. 3; Profit = (Profit % * Expenditure)/100 = (20*45)/100 = 9

Income = 45 + 9 = 54 lakhs

7. 4; Data is not sufficient.

8. 4; Data inadequate.

9. 5; (Income - Expenditure)/ Exp*100= P%

Expenditure is 100% in each year and Income% = Exp% + Profit%

10. 1; Profit of A in 2000 = (42*50)/150 = 14 lakhs

Expenditure = Income Profit = 42 14 = 28 lakhsProfit of B in 2004 = (42*75)/175 = 18 lakhs

Expenditure = 42 18 = 24 lakhsTotal expenditure = 28 + 24 = 52 lakhs


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Directions (Q. 1-5): What should come in place of question mark (?) in the following number series?

1. 5, 41, 321, 1921, 7681, 15361, ?1) 21381

2) 237103) 221734) 231215) 1

2. 1, 3, 7, 13, 22, 34, 51, 71, 96, 124, ?1) 1372) 1473) 1574) 1675) None of these

3. 664, 334, 85.5, 16.25, 4.03125, ?1) 2.730122) 3.172033) 2.4031254) 3.2201755) None of these

4. 33, 110, 453, 2282, 13711, ?1) 956732) 967473) 963124) 951321

5) 96000

5. 0.8, 3.8, 12.6, 44.8, 188.2, ?1) 758.62) 868.83) 952.004) 1012.25) 1112.2

Directions (Q. 6-10): In the following questions two equation numbered I and II are given. You have solve theequation and give answer if-1. x > y

2. x > y3. x < y4. x < y5. x = y or the relationship cannot be established.

6.

I. 20x2 - 31x + 12 = 0

II. 20y2 - y - 12 = 0

7.

I. 3x2 - 47x + 184 = 0

II. 2y2 - 23y + 66 = 0

8.

I. 30x - 49x + 20 = 0II. 42y - 5y - 25 = 0

Series + Inequality


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9.

I. x2 - 103x + 63 = 0II. y2 - 2y - 24 = 0

10.

I. x2 - 14x + 48 = 0

II. y2 - y - 30 = 0

ANSWERS:

1. 5; The series is:

5 10 9 = 41 41 8 7 = 321 321 6 5 = 1921 1921 4 3 = 7680 7681 2 1 = 15361 15361 0 (1) = 1


1 + 1 + 1 = 3

3 + 2 + 2 = 7

7 + 3 + 3 = 13

13 + 4 + 5 = 22

22 + 5 + 7 = 34

34 + 6 + 11 = 51

51 + 7 + 13 = 71

71 + 8 + 17 = 96

96 + 9 + 19 = 124

124 + 10 + 23 = 157

First is numbers (1, 2, 3, 4...) etc and second is prime numbers (1, 2, 3, 5, 7, 11, 13...).


664 + 4 2 = 334

334 + 8 4 = 85.5

85.5 + 12 6 = 16.25

16.25 + 16 8 = 4.03125

4.03125 + 20 10 = 2.403125


13 2 + 7 = 300

33 3 + 11 = 110

110 4 + 13 = 453

453 5 + 17 = 2282

2282 6 + 19 = 13711

13711 7 + 23 = 96000

All are prime number > 7.


0.8 1 + 3 = 3.8

3.8 2 + 5 = 12.6

12.6 3 + 7 = 44.8

44.8 4 + 9 = 188.2

188.2 5 + 11 = 952

6 . 2 ; x yI. 20 x2 31 x + 12 = 05x (4x-3) 4 (4x 3) = 0 (4x3) (5 x 4) = 0 x = 3/4, 4/5

II. 20 y2 y 12 = 0


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(5 y 4 ) (4y + 3) = 0y = 4/5, - 3/4

Ans is 2 X > Y

7. 1; X > y

I. 3x2 47 x + 184 = 0 (x 8) (3x 23) = 0 x = 8, 23/3

II. 2 y2 23 y + 66 = 0 (y6) (2 y11) = 0 y = 6, 11/2

8.2;

I. 30 x 25 x 24 x + 20 (5x 4) (6x 5) = 0

x = 16/25, x = 25/36

II. 42 y 5y 25 = 0 (6y 5) (7y+ 5) = 0 y = 25/36, y = 25/49

Ans is 2 X > Y

9.5; no relation can be established

I. x2 103+ 63 = 0 x2 103 + 63 = 0 ( x 33) (x73)= 0 x = 33, 73

II. y22y 24 = 0 (y 42) (y + 32) = 0 y = 42, -32

10. 2; x y

I. x2 14 x 48 = 0

(x 6 ) (x 8) = 0 x = 6, 8

II. y2 y 30 = 0 (y + 5) (y - 6) = 0

y = -5 , 6


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Direction (1-5) : Production of two categories of chemicals by factory A is given, Answer the question based on given data.

1. The ratio of the number of organic chemicals for which the production has fallen to the number of inorganic

chemicals for which production has fallen is :(1) 6 : 5(2) 3 : 2(3) 2 : 3(4) 1 :1(5) None of these

2. Of all the chemicals shown, the highest percentage increase in production has been exhibited for :(a) Fatty acids(b) Ethylene glycol(3) Aniline(4) Sodium bicarbonate(5) None of these

3. The difference between production sum of production of ethylene glycol, pthalic anhydride and phenol in 2002-03and Calcium carbide, sodium bicarbonate and Aluminium chloride in 2003-04 is(1) 336527(2) 335667(3) 326547(4) 345887(5) None of these

4. The percentage change in total production of chemicals between the two years is closest to :(1) 5.4%(2) 6.9%(3) 7.2%

(4) 4.5%(5) None of these

5. Which among the following has least change in production as compared to previous year :(1) Bleaching powder(2) Aluminium chloride



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(3) Calcium carbonate(4) Calcium carbide(5) None of these

Direction(6-10) : State wise Literacy and Population growth:

6. Which of the following states shows a higher Percentage increase in female literacy than the percentage increase in total

literacy?

(i) Maharashtra

(ii) Himachal Pradesh

(iii) Kerala

(iv) Karnataka

(1). (i) Only

(2). (i),(ii)&(iv)

(3). (i) and (iii)(4). All of the above

(5). None of the above

7. For the state showing the minimum percentage increase in total literacy, the numerical ratio of the

percentage increase in total literacy to the change in percentage population growth rate is nearly (take absolute values

only)

(1). 508.5

(2). 558.5

(3). 598.5

(4). 578.5

(5) .None of these

8. How many states has more increase in female literacy as compared to the average of percentage increase in female

literacy in all the years together:

(1) 5

(2) 3

(3) 7

(4) 4

(5) 6

9. The ratio of the overall simple average of the percentage increase in female literacy to the simple average percentage

increase in female literacy of those states where the percentage increase is more than the overall average is:

(1) 0.972

(2) 0.818

(3) 0.89(4) 0.146

(5) None of these

10. The ratio of the simple overall average of the percentage increase in female literacy to the simple overall average of the

percentage increase in total literacy is approx equal to :


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(1) 0.894

(2) 0.968

(3) 1.033(4) 0.788(5) None of these

ANSWERS

1. (3) 4:6=2:3

2. (2) Ethylene glycol, 454371-327387=126984, (126984/327387)100=38.78%3. (1)4. (2) 2910353(2003-04)-2728101(2002-03)=182252, 182252/2728101=6.9%5. (4) Calcium Carbide, 83445-83388=576. (3) ; Maharashtra and Kerala7. (2) ; Bihar, 22.34/0.04=558.58. (1) ;9. (c) ; 26.496/29.436=0.89 approx10. (b); 26.496(average of increase in female literacy average)/27.372(average of increase in total literacy)=0.968


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1. If sum of three numbers is 65. If the ratio of the first to second number is 5 : 3, and that of the second andthird number is 7 : 3, then what is the second number?1) 92) 15

3) 214) 355) None of these

2. There is a certain amount from which A takes 25% then B takes 50% of remaining amount, then C takes 75%of the remaining amount. Now if the amount left is 5,760 then what is the actual sum?1) Rs 58,2202) Rs 59,6803) Rs 60,6004) Rs 61,4405) None of these

3. A sells an item to B at a loss of 20% and B sells it to C at a loss of 25%. If C pays Rs 3,000 then what is theoriginal price?1) Rs 6,0002) Rs 5,0003) Rs 8,0004) Rs 4,5005) Rs 7,500

4. Two trains A and B are running on parallel tracks in the same direction. Train A which is coming from behindtakes 50 seconds to cross B completely. One person in train A observes that he crosses train B in 30 seconds. Ifthe speed of the train A and train B is in the ratio of 2 : 1, what is the ratio of their lengths?1) 1 : 22) 2 : 33) 4 : 34) 5 : 35) 5 : 4

5. A man can row a boat at a speed of 10 kmph in still water. He goes to a certain point upstream and back tostarting point in a river. Speed of flowing river is 2 kmph. What is the average speed of the boat for total

journey?1) 4 kmph2) 6 kmph3) 8.4 kmph4) 9.6 kmph5) None of these

6. A round table conference is to be held among 12 delegates. In how many ways can they be seated if twoparticular delegates are always to sit together?1) 12!2) 12! 2!3) 10! 2!4) 10!5) None of these

7. A and B stand in a ring with 9 other persons. If the arrangement of the 11 persons is at random, then what isthe probability that there are exactly 3 persons between A and B?1) 1/92) 1/11

3) 3/114) 1/55) 1/3

8. If A and B together can do a work in 10 days and A alone can do it in 15 days. In how many days B alone cando the work?

Verbal


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1) 10 days2) 5 days3) 20 days4) 30 days5) None of these

9. If a person does a journey in 20 hours, the first half of the distance at 6 kmph and the second half at 4 kmph.Then what is the total distance?1) 200 km

2) 100 km3) 96 km4) 48 km5) None of these

10. Two trains are moving in opposite directions at 30 kmph and 24 kmph. The faster train crosses a man in theslower train in 5 seconds. What is the length of faster train?1) 150 m2) 120 m3) 80 m4) 75 m5) None of these

ANSWERS

1. 32. 43. 24. 25. 46. 37. 48. 49. 310. 4


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What should come in place of the question mark (?) in the following number series?

1. 4, 24, 120, 480, 1440, 2880, ?(1) 3600(2) 4800(3) 2880(4) 5760(5) None of these

2. 11, 23, 48, 99, 202, 409, ?(1) 818(2) 820(3) 824


3. 11, 17, 23, 31, 41, 47, ?(1) 51(2) 59(3) 61(4) 67(5) None of these

4. 11, 12, 12, 14, 28, 31, 93, 97, ?

(1) 101(2) 388(3) 404(4) 514(5) None of these

5. 5, 13, 25, 41, 61, 85, ?(1) 123(2) 101(3) 113


6. 441 3 ? = 10290(1) 70(2) 80(3) 4900(4) 6400(5) None of these

7.? + 33 = 4096

(1)961(2) 31(3) 62(4) 979(5) None of these

Series + Simplification


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8. 16 36 15 + 11 = ?(1) 43(2) 41.5(3) 47(4) 45.5(5) None of these

9. (49)0.2 (343)0.1 x (2401)0.2 = (7)?

(1) 1.1(2) 0.5(3) 0.9(4) 0.7(5) None of these

10. 55% of 680 - ? = 286(1) 83(2) 85

(3) 87(4) 88(5) None of these

Answers:

1-3 2-3 3-2 4-2 5-3

6-3 7-1 8-5 9-3 10-4


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1. 956 753 = ?

(1) 723692

(2) 727398(3) 710308

(4) 719868

(5) None of these

2. 66456 ? = 213 6(1) 2704

(2) 52

(3) 2916

(4) 54

(5) None of these

3. 80% of 675 (?)2 = 344

(1) 28

(2) 16

(3) 12

(4) 24

(5) None of these

4. 350653 = ?(1) 47

(2) 57

(3) 37

(4) 27

(5) None of these

5. ? 38 23 = 1196

(1) 1979

(2) 1976

(3) 1973

(4) 1970

(5) None of these

6. 24 513 27 - 9 = ?

(1) 445

(2) 475

(3) 495

(4) 515

(5) None of these

7. 12607 + 4566 - 1349 = ? 86

(1) 184(2) 196

(3) 172

(4) 166

(5) None of these

Simplification


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8. 39 ? = 18252 26

(1) 16

(2) 18

(3) 22

(4) 24

(5) None of these

9. (0.5 * 6 2.5) / (4.5 + 0.6 + 0.9)(1) 0.6

(2) 6

(3) 0.2

(4) 4

(5) None of these

10. (113 152) 2 52 = ?

(1) 497.61

(2) 429.18

(3) 425

(4) 479.16

(5) None of these

Answers:

4 1 5 3 2

5 1 2 3 4


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1. If the compound interest on an amount of Rs. 29000 in two years is Rs. 9352.5, what is the rate of interest?(1) 11(2) 9(3) 15


2. Three friends A, B and C start running around a circular stadium and complete a single round in 8, 18 and 15seconds respectively. After how many minutes will they meet again at the starting point for the first time?(1) 12(2) 6(3) 8(4) 15(5) 18

3. The perimeter of a square is equal to the radius of a circle having area 39424 sq cm, what is the area ofsquare?

(1) 1225 sq cm(2) 441 sq cm(3) 784 sq cm(4) Can't say(5) None of these

Directions (4 - 5): Study the following information carefully to answer the questions that followA committee of five members is to be formed out of 5 Males, 6 Females and 3 Children. In how many differentways can it be done if?4. The committee should consist of 2 Males, 2 Females and 1 Child?(1) 450(2) 225(3) 55(4) 90(5) None of these

5. The committee should include all the 3 Childs?(1) 90(2) 180(3) 21(4) 55(5) None of these

6. Thirty men can complete a work in 36 days. In how many days can 18 men complete the same piece of work?(1) 48

(2) 36(3) 60(4) 72(5) None of these

7. Ram spends 50% of his monthly income on household items, 20% of his monthly income on buying clothes, 5%of his monthly income on medicines and saves remaining Rs. 11, 250. What is Ram's monthly income?(1) Rs. 38,200(2) Rs. 34,000(3) Rs. 41,600(4) Rs. 45,000(5) None of these

8. The number obtained by interchanging the two digits of a two digit number is lesser than the original numberby 54. If the sum of the two digits of the number is 12, then what is the original number?(1) 28(2) 39(3) 82(4) Can't say

Verbal


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(5) None of these

9. At present Geeta is eight times her daughter's age. Eight years from now, the ratio of the ages of Geeta andher daughter will be 10 : 3 respectively. What is Geeta's present age?(1) 32 years(2) 40 years(3) 36 years(4) Can't say(5) None of these

10. In how many different ways can 4 boys and 3 girls be arranged in a row such that all the boys stand togetherand all the girls stand together?(1) 75(2) 576(3) 288(4) 24(5) None of these

Answers:

3 2 3 1 4 3 4 5 1 3


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Directions (1-5): What approximate value will come in place of the question-mark (?) in the following questions -

1. (2960 + 1378 + 3530) 278 = ?(1) 38

(2) 28(3) 12(4) 19(5) 22

2. 54.7 + 23.07 x 5.46 = ?(1) 189(2) 153(3) 165(4) 180(5) 164

3. 93.54 x 573 16= ?

(1) 3350(2) 3500(3) 5700(4) 1250(5) 3900

4. 23.95% of 6544= ?(1) 1635(2) 1852(3) 1570(4) 6810(5) 1660

5. 4999.91 49.97 x 0.149= ?(1) 13(2) 15(3) 17(4) 21(5) 25

Directions (6 - 10): What should come in place of the question mark (?) in the following number series?

6. 28, 39, 63, 102, 158, (?)(1) 232(2) 242(3) 233(4) 244(5) None of these

7. 469, 370, 282, 205, 139, (?)(1) 54(2) 65(3) 74(4) 94(5) None of these

8. 69.76, 68.66, 66.46, 63.16, ?, 53.26(1) 58.76

(2) 56.53(3) 53.46(4) 53.26(5) None of these

9. 336, 457, 601, 770, ?, 1191

Series + Simplification


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(1) 946(2) 995(3) 939(4) 969(5) None of these

10. 13, 21, 37, 69, 133, (?)(1) 308(2) 318

(3) 251(4) 261(5) None of these

Answers:

2 4 1 3 2 3 5 1 5 4


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Ques (1-10): What should come in place of question mark (?) in the following questions?

Q1. 637.28 781.47 + 257.39 = ?(1) 113.20(2) 104.30(3) 122.40(4) 133.50(5) None of theseQ2. 6% of 350 + 2% of 700 = ?% of 1400(1) 2(2) 2.5(3) 3(4) 4

(5) None of these

Q3. 4672 40 4 = ?

(1) 467.2(2) 29.6(3) 29.2(4) 368.8(5) None of these

Q4. 7 ? = 546 4

(1) 24.4

(2) 113.5(3) 37.9(4) 19.5(5) None of these

Q5. 672 24 18 + 153 - 345 = ?(1) 311(2) 322(3) 312(4) 308

(5) None of these

Q6. 67.39 - 11.78 + 19.63 = ? + 22.41(1) 52.73(2) 52.83(3) 65.78(4) 64.78(5) None of these

Q7. 44% of 125 + 75% of 840 = ?(1) 600

(2) 666(3) 685(4) 765(5) None of these

Simplification


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Q8. 1.2 * 0.9 0.25 * 24 = ?(1) 204.92(2) 125.92(3) 118.46(4) 103.68(5) None of these

Q9. 22% of 250 + 35% of 460 = ?(1) 216(2) 226(3) 232(4) 242(5) None of these

Q10. 0.6 * 1.8 0.5 * 12 = ?(1) 24.92(2) 25.92(3) 18.46

(4) 17.46(5) None of these

ANSWERS:

1. 12. 23. 34. 45. 36. 2

7. 38. 49. 110. 2


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Directions (1-3) : What should come in place of the question mark (?) in the following question ?

1. 186 x ? 14 = 1302

(1) 98(2) 92

(3) 88

(4) 84

(5) None of these

2. 18.4 x ? x 8= 1840

(1) 11.0

(2) 12.5

(3) 14.5

(4) 10.0

(5) None of these

3. 5482.24 + 2548.56 + ? = 9626.26

(1) 1959.46

(2) 1546.95

(3) 1946.56

(4) 1569.45

(5) None of these

Directions (4-6) : What approximate value should come in place of the question mark (?) in the following question ?

4. 18.505% of 550.010 = ?(1) 135

(2) 85

(3) 100

(4) 120

(5) 90

5. 969.69 + 996.96 + 966.66 = ?

(1) 2560

(2) 2870

(3) 2930

(4) 2390(5) 2900

6. 8599.999 420.002 x 14.996 = ?

(1) 250

(2) 325

(3) 275

(4) 300

(5) 350

Directions (7-11) : In the following number series only one number is wrong. Find out the wrong number.

7. 5, 348, 564, 689, 716, 780, 788

(1) 716

(2) 788

(3) 348

Simplification + Approximation + Series


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(4)689

(5) 780

8. 4444, 2224, 1114, 556, 281.5, 142.75, 73.375

(1) 2224

(2) 281.5

(3) 1114

(4) 556

(5) 142.75

9. 4.5, 16, 25, 33, 38.5, 42, 43.5

(1) 33

(2) 38.5

(3) 42

(4) 43.5

(5) 25

10. 180, 181, 210, 333, 676, 1405

(1) 181

(2) 210

(3) 333

(4) 676

(5) 1405

11. 38, 567, 998, 1369, 1658, 1883

(1) 567

(2) 998

(3) 1369

(4) 1658

(5) 1883

Answers:

1 2 5 3 3 4 1 4 5 2 2


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Directions (1-5): In each of the following questions there is three statements are given below each question. Youhave to find out the data in which the statement is sufficient to

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