Math Set - 15

1. The sum of the squares of two numbers is 106 and the square root of one of them is 3. the cube of the other number is

a. 27  b. 64
c. 81  d. 125

2. A, B and C go into business as partners and collect a profit of Rs.1000. If A’s capital : B’s capital= 2:3 and B’s capital : C’s capital=2:5, the share of profit which goes to B is

a. Rs.160  b. Rs.240
c. Rs.600  d. Rs.400

3. A sum of money invested at 6% simple interest in the post office Savings Bank amounts to Rs.930 in 4 years. The time it will amount to Rs.1020 at the same rate is

a. 9 years  b. 8 years
c. 6 years  d. 7 years

4. A man can do a piece of work in 4 days which a woman can do in 12 days. They jointly finished the work and got Rs.60 as remuneration. The amount received by the woman is

a. Rs.15  b. Rs.5
c. Rs.40  d. Rs.45

5. The simple interest on a certain sum of money for four years at a certain rate of interest is 6/25th of the principal. The rate percent of simple interest charged is

a. 14%  b. 15%
c. 12%  d. 6%

6. Out of 10 teachers in a school one teacher retired and a new teacher aged 25 years joined; thereby the average age of the teachers was reduced by 3 years. The age of the retired teacher is

a. 60 years  b. 58 years
c. 55 years  d. 56 years

7. The area of a rectangular field, which is twice as long as it is broad, is 242 square meters. The perimeter of the field is

a. 66 m.  b. 121 m.
c. 22 m.  d. 132 m.

8. A train takes 14 sec. to completely cross one station 200 meters long and 18 sec. to completely cross another station 280 meters long. The length of the train is

a. 100m.   b. 80 m.
c. 110 m.  d. 120 m.

9. One man walks 165 kilometers in 6 days. If he walks 3.75 km in the same time which a second man takes to walk 4 km. the second man will walk in 15 days

a. 400 km.  b. 440 km.
c. 420 km.  d. 460 km.

10. X travels at the rate of 30 km/hr and is 4 kms ahead of Y. Y overtakes X in 16 minutes’ time. Y travels at the rate of

a. 15km/hr  b. 25 km/hr
c. 40 km/hr d. 45 km/hr

11. The answer to the problem “Find by what percent 15/16 exceeds 7/10” is

a. 15%  b. 20%
c. 25%  d. 25.33%

12. The H.C.F. and L.C.M. of two numbers are respectively, 12 and 2448 and their difference is 60. The greater number is

a. 204  b. 144
c. 120  d. 145

13. Given that x% is equal to the product of 1/7 and 0.25. The value of x is

a. 125/7 b. 25/7
c. 57/7  d. 0.175

14. The cost of fencing required to enclose a square field is Rs.210, when the cost of fencing per meter is Rs.3.50. The cost of paving the same field at Rs.3 per sq. meter is

a. Rs.210  b. Rs.420
c. Rs.675  d. Rs.600

15. A purse contains an equal number of rupees, half rupees and quarter rupees. If the total amount in the purse is Rs.85.75 the number of each coin is

a. 45  b. 47
c. 49  d. 51

16. 15 men working 6 hr. a day can do a piece of work in 10 days. The number of men working 4.5 hrs. a day, required to do the same work in 10 days is

a. 20  b. 15
c. 9   d. 6

17. The sum of the present ages of the father and his son is 100 years, and 5 years before their ages were in the ratio of 2:1. The present age of the son is

a. 65 years  b. 35 years
c. 7 years   d. 42 years

18. A room is 15 meter long and the cost of carpeting it is Rs.810. If the breadth of the room were 2 meter less, the cost of the carpeting would have been Rs.675. The perimeter of the room is

a. 50 m.  b. 45 m.
c. 54 m.  d. 60 m.

19. The least number of soldiers that can be arranged in 12, 15 or 18 equal rows and can also be arranged in a solid square is

a. 144  b. 225
c. 324  d. 900

20. In an examination A and B secured 6/7 and 5/6 of the full marks. B secured 20 marks less than A. The marks secured by A were

a. 680  b. 720
c. 700  d. 710

Answers: 1(d), 2(b), 3(c), 4(a), 5(d), 6(c), 7(a), 8(b), 9(b), 10(d)
11(d), 12(a), 13(b), 14(c), 15(c), 16(a), 17(b), 18(c), 19(d), 20(b).     

Math Set - 14

1. A number on division by 85 gives the remained 48. If the same number is divided by 17, the remainder is

a. 12  b. 14
c. 16  d. 11

2. A train of length 75 meters is running at a speed of 45 kms./hr. To pass a lamp post completely it takes

a. 5 sec  b. 6 sec
c. 8 sec  d. 12 sec

3. A man can row a boat at 8 km/hr. in still water. He rows 1km. in 6 mins in the down-stream. To row 1 km. up the stream he would take

a. 8 mins.  b. 10 mins
c. 12 mins  d. 14 mins

4. The least number to be added to 982 multiplied by 986 to make it a perfect square is

a. 1   b. 2
c. 4   d. 6

5. The sum of the greatest and the least of 3/5, 4/7, 5/9 and 6/11 is

a. 41/35  b. 52/45
c. 86/77  d. 63/55

6. If 9*8091 be divided by 11, then the missing digit will be

a. 1   b. 2
c. 3   d. None of these

7. The least number of 2 digits which divides 216, 360 and 432 without any remainder is

a. 72  b. 48
c. 36  d. 12

8. The number nearest to 999 exactly divisible by 12, 16 and 18 is

a. 864  b. 996
c. 1008  d. 1002

9. In 1989 the total population of a village was 1200. The population increased by 10% in 1990 but decreased by 5% in 1991. The population at the end of 1991 was

a. 1185  b. 1254
c. 1464  d. 1980

10. Three numbers are in the ratio 3:5:6. The sum of the first and the third is greater than the second by 16. The sum of the three numbers is

a. 92  b. 60
c. 58  d. 56

11. The sum of six consecutive odd numbers is 180. The difference of the greatest and the least of the numbers is

a. 6  b. 3
c. 12  d. 10

12. The greater of two numbers is five times the smaller and their sum is greater than their difference by 4. The product of two numbers is

a. 20  b. 10
c. 15  d. 5

13. Two third of a certain number of beggars received 40 p. each and the rest 25 p. each. If the total sum spent is Rs.9.45, the number of beggars is

a. 24  b. 36
c. 27  d. 30

14. A person who pays 5 paise in the rupee as tax, finds that a fall of simple interest from15 to 12 percent diminishes his net income by Rs.11.40. His capital is

a. Rs.410  b. Rs.400
c. Rs.976  d. Rs.380

15. The first day of January, 1992 was Wednesday, the 23^rd December 1992 will be

a. Monday     b. Tuesday
c. Thursday   d. Wednesday

16. The least number that must be added to 617 so that the sum may be a perfect square, is

a. 8   b. 12
c. 4   d. 9

17. An enhancement of the sale price of a pen by Rs.3 turns a loss of 7.55 into a gain of 7.5%. The sale price of the pen is

a. Rs.22  b. Rs.20
c. Rs.18  d. Rs.16

18. A television and radio are together worth Rs.3600. If the price of radio is 4/5th of the television, the price of the radio is

a. Rs.900  b. Rs.720
c. Rs.2880  d. Rs.1600

19. A car travels 100 meters in 9 secs, the rate in kilometers per hour is

a. 45  b. 40
c. 36  d. 60

20. The square root of 48.3025 is

a. 7.25  b. 6.75
c. 6.05  d. 6.95

Answers: 1(b), 2(b), 3(b), 4(c), 5(d), 6(c), 7(d), 8(c), 9(b), 10(d)
11(d), 12(a), 13(c), 14(d), 15(d), 16(a), 17(b), 18(d), 19(b0, 20(d).

Math Set - 13

1. 3 men or 4 women or 5 boys can earn Rs.150 daily. 5 men with 8 women and 3 boys will earn per day

a. Rs.620 b. Rs.640
c. Rs.660 d. Rs.680

2. A man spends in 4 months as much as he earns in 3 months. His annual saving is Rs.1206. His annual income is

a. Rs.4824 b. Rs.4428
c. Rs.8442 d. Rs.4284

3. Two numbers are in the ratio 6:13. If their L.C.M. is 468 then their H.C.F. is

a. 12  b. 8
c. 6  d. 4

4. 8 years ago, the father was 10 times as old as his son and 6 years hence he will be 3 times as old. The present age of the father is

a. 48 years b. 50 years
c. 56 years d. 60 years

5. The least number of 4 digits which when divided by 12, 16 or 24 leaves a remainder 4 in each case, is

a. 1008  b. 1012
c. 1048  d. 1024

6. The least number which divides 6534 to make the resulting number a perfect square is

a. 7  b. 6
c. 3  d. 2

7. If 87.5% of a number be 56, then the number is

a. 64  b. 70
c. 72  d. 80

8. The reduction of Rs.5 in the sale price of an article changes the profit of 5% to a loss of 5% on the cost price. The cost price of the article is

a. Rs.60 b. Rs.50
c. rs.45 d. rs.40

9. A man sells an article at a loss of 10%. If he would get Rs.36 more, then he would have gained 12.5% on the cost price. The original sale price of the article is

a. Rs.132 b. Rs.140
c. Rs.144 d. Rs.150

10. Four years ago the average age of the family consisting of the father, mother and the son was 28 years. A boy now joins the family, but there is no change in the average age. The age of the newcomer is

a. 12 years b. 14 years
c. 15 years d. 16 years

11. The perimeter of a rectangular court-yard is 130 meters. The difference of the lengths of the two adjacent sides is 15 meters. The area of the plot (in sq. meters) is

a. 800  b. 900
c. 990  d. 1000

12. To cover a distance a man first travels 3/8th of the whole journey by train, then20% of the remaining by bus. If he has still 6 kms.to go, the distance to be covered(in km.) is

a. 16  b. 14
c. 12  d. 10

13. 12 men working 8 hours a day complete a work in 10 days; 10 men working 6 hrs. a day will complete the same work in

a. 10 days b. 12 days
c. 14 days d. 16 days

14. A can do twice as much work as B in the same period. If they jointly can complete a particular work in 2 days, then B alone can complete the same in

a. 6 days b. 8 days
c. 10 days d. 12 days

15. Two pipes can fill an empty cistern in 20 mins and 30 mins respectively. If they are opened simultaneously, then half of the empty cistern will be filled up in

a. 10 mins b. 8 mins
c. 6 mins d. 4 mins

16. A man sold 14 articles for one rupee, thereby losing 4%. To gain 12% the number of articles to sold per rupee is

a. 10  b. 11
c. 12  d. 13

17. A garrison has enough food for 40 days. After 10 days a batch of 200 men joined them and the remaining food lasted for 20 days only. The number of men originally in the garrison was

a. 200  b. 250
c. 300  d. 400

18. The simple interest for 4 years is half that of the principle. At the same rate percent of simple interest in 2 years Rs.500 amounts to

a. Rs.625 b. Rs.650
c. Rs.660 d. Rs.675

19. Rs.620 is divided amongst A, B and C in such a way that C gats half of what B gets and B gets Rs.20 less than what a gets, C gets

a. Rs.120 b. Rs.125
c. Rs.130 d. Rs.140

20. If the radius of a circular plot land is increased by 20%, the circumference of the plot increased by

a. 30%  b. 25%
c. 20%  d. 15%

Answers: 1(b), 2(a), 3(c), 4(a), 5(b), 6(b), 7(a), 8(b), 9(c), 10(d)
11(d), 12(c), 13(d), 14(a), 15(c), 16(c), 17(d), 18(a), 19(a), 20(c).

Math Set - 12

1. In an election contest, 80% of the total number of voters cast their votes and the winner wins by getting 65% of the number of votes cast. The percentage of votes received by the winner with respect to the total number of voters is

a. 52  b. 53
c. 54  d. 55

2. A man makes a profit of 25% on cost price. This is represented on sale price as a gain of

a. 22%   b. 20%
c. 18.5% d. 16.3%

3. In a certain year the production of articles in a factory increases from 5600 to 7560. The increase in percentage of production of articles is

a. 40  b. 37.5
c. 35  d. 32.5

4. In a class there are 120 students. 60 of them pass in Bengali, 50 in English but 30 fail in both the subjects. The number of students who pass in both the subjects is

a. 30  b. 25
c. 20  d. 16

5. Some 50 posts are placed in a straight line at equal intervals covering a distance of 245 meters. The distance between two consecutive posts (in meter) is

a. 6    b. 5
c. 4.9  d. 3

6. Two alloys contain copper and zinc in the ratio of 8:3 and 15:7 respectively. If the two alloys are mixed in the proportion of 5:2, then the ratio of copper and zinc in the newly formed alloy is

a. 3:2  b. 4:3
c. 5:2  d. 5:3

7. A milk-man buys pure milk at Rs.10 per liter. He mixes water in such a proportion that by selling the adulterated milk at Rs.8 per liter he gains 20% on his outlay. The ratio of pure milk to water is

a. 3:2  b. 3:1
c. 2:3  d. 2:1

8. A boat covers a distance from A to B down the stream in 10 hrs. and from B to A in 20 hrs. If the speed of the boat in still water is 9 kms./hr, the distance between A and B in kms. Is

a. 125  b. 120
c. 115  d. 110

9. The greatest number of 3 digits which when divided by 20 leaves remainder 18 and when by 24 leaves remainder 22. The number is

a. 958  b. 960
c. 962  d. 964

10. A shopkeeper marked the sale price of his goods above 20% of the cost price. But at the time of selling he allows a commission of 12.55 to his customers. By this, the percentage of his gain stands at

a. 8.2  b. 6.4
c. 5.3  d. 5

11. A man makes a profit of 25% by selling 16 articles for Re.1. The numbers of articles he purchased for Re. 1 is

a.10  b. 20
c.12  d. 25

12. The ratio of ages of A and B is 5:9. One of them is older than the other by 24 years. The sum of the ages of A and B is

a. 76 years  b. 80 years
c. 84 years  d. 88 years

13. The monthly salaries of A and B are in the ratio 3:5. If A receives an increment of 10% and B 5%, the ratio of monthly salaries of A and 5 changes to

a. 22:35  b. 20:31
c. 18:25  d. 16:21

14. Wheat is bought at Rs.400 per quintal and sold at Rs.4.50 per kg. The profit percent is

a. 18.3%  b. 16.2%
c. 12.5%  d. 8% 

15. In a class there are 100 students. In an examination 70 % of them pass in Bengali and 60% pass in English. The maximum number of students who fail in both the subjects is

a. 20  b. 24
c. 26  d. 30

16. The daily income of A, B and C are as 2:5:8 A gets Rs.36 less than what C gets. The total daily income of the 3 persons is

a. Rs.100  b. Rs.90
c. Rs.80  d. Rs.60

17. A man buys a table and a chair for Rs.700. He sells the table at a profit of 20% and the chair at a loss of 10%. He still gains Rs.80. The cost price of the table is

a. Rs.200  b. Rs.300
c. Rs.500  d. Rs.400

18. The difference of two integers is 2134; one of them is twice the other. The smallest one is

a. 1234  b. 1324
c. 1423  d. 2134

19. A man wishes to distribute 90 fruits amongst 35 children. If each girl receives 3 fruits and each boy 2 fruits, the total number of boys is

a. 16  b. 15
c. 14  d. 12

20. The product of two numbers is 936. Their ratio is 13:18. The greater one is

a. 42  b. 36
c. 34  d. 37

Answers: 1(a), 2(b), 3(c), 4(c), 5(b), 6(c), 7(d), 8(b), 9(a), 10(d)
11(b), 12(c), 13(a), 14(c), 15(d), 16(b), 17(c), 18(d), 19(b), 20(b).

Math Set - 11

1. The reduction of 12.5% in the price of an article enables a man to purchase 5 more for a rupee. The number of articles that can be purchased at the reduced price(per rupee) is

a. 40  b. 30
c. 48  d. 45

2. The simplified value of 0.0011-[0.011-{0.01-(0.1-0.2)}] is

a. 0.110   b. 0.1001
c. 0.1011  d. 0.0011

3. The price of 8 pens and 6 pencils is Rs.49 and that of 6 pens and 8 pencils is Rs.42. The price of each pencil is

a. Rs.5    b. Rs.3
c. Rs.1.50 d. Rs.1

4. A car travels at the rate of 40 km. per hour. In 9 seconds the car travels

a. 100 meters b. 150 meters
c. 75 meters  d. 120 meters

5. The square root of 11.1111 is

a. 1.1  b. 1.1111
c. 3.3  d. 3.3333

6. The maximum length of a rod that can be placed in a card board box whose inside measurement is 4 cms. breadth, 5 cm height and 20 cm length, is

a. 21 cm.  b. 21.2 cm.
c. 22 cm.  d. 22.5 cm.

7. A sum of money is deposited in a Bank at a fixed rate of interest (simple). If after two years it amounts to Rs.620 and after 4 years to Rs.740, the rate percent per annum of interest is

a. 10  b. 12
c. 14  d. 16

8. Three partners X, Y and Z contribute Rs.5000, Rs.6000 and Rs.7000 respectively to start a business. They agree to share the profits in proportion to their capitals. At the end of a year if Z gets Rs.1421 as his share of profit, then Y gets

a. Rs.1218  b. Rs.2436
c. Rs.1624  d. Rs.1842

9. A man can do double the amount of work that a boy can do in a given period of time. If 4 men and 8 boys can complete a work in 6 days, the same work can be completed by 2 men with 8 boys in

a. 8 days   b. 9 days
c. 10 days  d. 12 days

10. A leaky cistern contains water just sufficient to last for 30 days, it 35 liters are taken out daily. It lasts for 40 days if 25 liters are taken out daily. When full the volume of water in the cistern (in liters) is

a. 1000  b. 1100
c. 1200  d. 14000

11. Rs.600 is invested for some years at a certain rate percent per annum simple interest. If after the fixed period, the interest becomes ¼th of the total amount, the interest will be

a. Rs.240  b. Rs.200
c. Rs.180  d. Rs.160

12. In two successive years 56 and 64 students of a school appeared at the final examination. 75% and 87.5% passed. The average rate percent of pass is

a. 78%  b. 80%
c. 83%  d. 81.66%

13. A circle is inscribed in a square whose side is 21 cm. The area of the circle is (in sq.cms.)

a. 342.5  b. 344.5
c. 346.5  d. 348.5

14. A man standing on a railway platform observes that a moving train takes 5 secs to cross him and 16 secs to cross the platform completely. If the speed of the train be 54 km./hr., the length of the platform is

a. 150 m.  b. 165 m.
c. 176 m.  d. 187 m.

15. A man goes from A to B at a speed of 6km/hr. His average speed (in km.) is

a. 7   b. 7.5
c. 8   d. 10

16. A merchant buys tea at Rs.70 and Rs.80 per kg. and mixes them in the proportion of 3:2. He gains 25% on cost; he sells the blended tea per kg. at

a. Rs.74  b. Rs.80.50
c. Rs.85  d. Rs.92.50

17. A contractor employs 20 men to complete a job in 10 days but in 6 days the job is half finished. If it is to be completed in the fixed time, the number of additional men to be employed is

a. 6   b. 8
c. 9   d. 10

18. The number of prime numbers between 60 and 90 is

a. 6   b. 7
c. 8   d. 9

19. A garrison of 500 men has enough food for 40 days. After some days 300 men went away and the remaining food lasted for 50 days. The days after which the men left the garrison is

a. 20  b. 22
c. 24  d. 25

20. A man sells an article at a loss of 20%. This loss is represented on sale price as a loss of

a. 33%  b. 25%
c. 18%  d. 16%

Answers: 1(a), 2(b), 3(c), 4(a), 5(d), 6(a), 7(b), 8(a), 9(a), 10(c)
11(b), 12(d), 13(c), 14(b), 15(b), 16(d), 17(d), 18(b), 19(a), 20(b).

Math Set - 10

1. A box contains 378 coins in rupee, fifty paise and twenty-five paise coins, the ratio of their rupee values being 13:11:7. The number of 50 paise coins is

a. 42  b. 78
c. 66  d. 132

2. A sum of money doubles itself in 20 years. The sum of money that amounts to Rs.540 in 4 years at the same rate of simple interest is

a. Rs.400  b. Rs.550
c. Rs.650  d. Rs.450

3. A tradesman makes his goods at 25% above the cost price. If he allows his customers a deduction of 10% in the bill, the percentage of profit he makes is

a. 15%  b. 10%
c. 20%  d. 12.5%

4. If 12 men can do a piece of work in 30 days at 9 hours a day; the number of men that will be required to do the work, if they work for 24 days at 5 hours a day, is

a. 21  b. 30
c. 27  d. 35

5. If A:B=3:4; B:C=6:5, then A:C will be

a. 3:5  b. 4:5
c. 9:10  d. 4:9

6. A clock losses 6.5 sec. per hour when the room is hot, but gains 3.9 sec. per hour when the room is cold. The clock keeps correct time in 24 hours. In 24 hours the room is hot for

a. 6 hrs.  b. 8 hrs.
c. 18 hrs  d. 9 hrs

7. The perimeters of two square fields are 48 meters and 20 meters respectively. The perimeter of a third square which is equal in area to the sum of the areas of these two squares is

a. 68 m.  b. 34 m.
c. 44 m.  d. 52 m.

8. The percentage by which 120 is to be diminished to get 30 is

a. 30%  b. 25%
c. 20%  d. 33%

9. A train leaves one station at 6-45 pm and reached a second station 150 km away at 10-30 pm. The speed of the train in km. per hour is

a. 20 km./hr b. 30 km./hr
c. 40 km./hr d. 45 km./hr

10. A can row one kilometer in 6 minutes down the river and 6 km in 1 hour up the river. The speed of the current is

a. 2.5 km/hr b. 2 km./hr
c. 4 km./hr d. 3 km./hr

11. 90% of A’s income is Rs.342. If B earns Rs.456 at the same time, B’s income is more than that of A by

a. 10%  b. 15%
c. 20%  d. 25%

12. A certain number is divided into two parts such that18 times the first part added to 5 times the second equals 8 times the whole. The ratio of the parts is

a. 18:5  b. 5:18
c. 5:8  d. 3:10

13. The sum of two numbers is 45 and their difference is 1/9 of their sum. Their L.C.M. is

a. 200  b. 250
c. 100  d. 150

14. The least number which when divided by 24 and 36 leaves the remainder 17 and 29 respectively, is

a. 48  b. 72
c. 79  d. 65

15. The population of a place is 1200. In a year the births are 1 in 20 and the deaths 1 in 25. The population after one year will be

a. 1212  b. 1224
c. 1204  d. 1240

16. The sum of seven consecutive even integers is 140; the greatest even integer is

a. 22  b. 24
c. 26  d. 28

17. The product of two numbers is 20.The sum of the two numbers is greater than their difference by 4. The ratio of the greater to the smaller number is

a. 5:1  b. 3:2
c. 4:3  d. 7:2

18. The equal sums are invested at simple interest at the rate of 10% p.a. and 125 p.a. for 3 years. If at the end of the period the total interest amounts to Rs.363, the total sum invested is

a. Rs.550  b. Rs.600
c. Rs.1100  d. 1200

19. The number of days in the first five months of the year 1916 A.D. was

a. 150  b. 151
c. 152  d. 148

20. The least number added to 804 to make it a perfect square is

a. 37  b. 96
c. 67  d. 49

Answers: 1(d), 2(d), 3(d), 4(c), 5(c), 6(a), 7(d), 8(b), 9(c), 10(b)
11(c), 12(d), 13(c), 14(d), 15(a), 16(c), 17(a), 18(c), 19(c), 20(a).

Math Set - 9

1. Rs.310 were divided amongst 100 children ; each boy received Rs.2.50 and each girl Rs.4. The number of girls was

a. 40  b. 50
c. 45  d. 60

2. The product of two numbers is 5436 and half of one of them is 302. The other number is

a. 9   b. 7
c. 8   d. 11

3. 5 chairs and 2 tables cost Rs.1080; the cost of 2 chairs is equal to that of 1 table. The cost of 1 chair and 1 table is

a. Rs.360  b. Rs.290
c. Rs.350  d. Rs.475

4. A man spends in 4 months as much as he earns is 3 months. The annual savings out of an annual income of Rs.4824 is

a. Rs.1206  b. Rs.1528
c. Rs.1600  d. Rs.840

5. Two numbers are in the ratio 5:7 and their H.C.F is 12. The L.C.M of the number is

a. 420  b. 60
c. 84  d. 140

6. The present ages of the father and the son are together 60 years. 6 years ago the father was 5 times as old as the son. The age of the son after 6 years will be

a. 20 years  b. 16 years
c. 18 years  d. 24 years

7. A number lies between 1000 and 1500. The number is exactly divisible by 36 and 102.The number is

a. 1336  b. 1224
c. 1024  d. 1152

8. The smallest integer by which 1183 is to be divided to make it a perfect square is

a. 2   b. 3
c. 5   d. 7

9. The difference between ¾ of Rs.100 and ¾% of Rs.100 is

a. Rs.75 b. Rs.25
c. Rs.74.25 d. Rs.75.40

10. A reduction of 10% in the price of tea enables one to purchase 1 kg. tea more for Rs.720. The original price of tea per kg. is

a. Rs.72  b. Rs.80
c. Rs.90  d. Rs.88

11. A sold one article to B and lost 20%, B sold it to C and gained 20%. If A sold the article for the price C paid, he would have

a. Gained 4% b. Lost 4%
c. Gained 5% d. Lost 5%

12. The average of 10 number is 6.5, the average of the first six is 4.5 and that of the last five is 9. The sixth number is

a. 10  b. 9
c. 8     d. 7

13. The length of a rectangular lawn is twice its breadth. The cost of leveling it @ Rs.2.50 per square meter is Rs.500. the cost of enclosing it with a fence of iron railings @ Rs.12 per meter is

a. Rs.1500  b. Rs.1000
c. Rs.800  d. Rs.720

14. A train travels from Howrah to Burdwan at the rate of 45 Km per hour and returns at the rate of 36 km. per hour. The average rate of running of the train for the whole journey was

a. 35 km./hr b. 50 km/hr
c. 55 km/hr d. 40 km/hr

15. A sum of Rs.1400 was divided amongst A, B and C, so that ½ of A’s share =1/5 of B’s share=1/3 of C’s share. The money received by c is

a. Rs.420  b. Rs.280
c. Rs.700  d. Rs.980

16. Two trains, 60 meter and 90 meter long, run at the rates of 48 km. and 60 km. per hour respectively on parallel rails in opposite directions. Time required by a person sitting in the first train to cross the other train is

a. 3 sec.  b. 2 sec.
c. 4 sec.  d. 2.5 sec.

17. A quantity of rice suffices a family for 30 days it 5 kg. of rice are given away to charity every day; but only 25 days it 8 kg. of rice are given in charity daily. The total quantity of rice the family had in store was

a. 150 kg.  b. 200 kg.
c. 450 kg.  d. 400 kg.

18. A can do a piece of work in 9 days and B in 18 days. They begin together but A goes away 3 days before the work is completed. The time in which the work was finished is

a. 17 days  b. 21 days
c. 5 days  d. 8 days

19. 40 men can do a piece of work in a certain number of days. If only 30 men were employed to do the same work, it would require 6 days more. The time in which 60 men can do the work is

a. 16 days  b. 20 days
c. 24 days  d. 12 days

20. . Two pipes can fill a cistern in 25 and 30 minutes respectively. Both the pipes are opened together, the time when the first pipe must be turned off so that the cistern may be filled in 15 minutes is

a. 10 mins.  b. 12 mins.
c. 15 mins.  d. 12min 30sec

Answers: 1(a), 2(a), 3(a), 4(a), 5(a), 6(a), 7(b), 8(d), 9(c), 10(b)
11(b), 12(d), 13(d), 14(d), 15(a), 16(a), 17(c), 18(d), 19(d), 20(d).

Math Set - 8

1. If a=9/20, b=11/15, c=3/4 then the correct inequality is

a. c>b>a  b. c>a>b
c. b>c>a  d. a>b>c

2. After losing 22.5% of his income a man has Rs.1860 left. His income is

a. Rs.2100  b. Rs.2250
c. Rs.2300  d. Rs.2400

3. The average age of 12 men is 34 years. In order that the average age of 13 men is 36 years, the age of the thirteenth man will be

a. 52  b. 54
c. 56  d. 60

4. ¼ when expressed as a percentage of 25/9 becomes

a. 7%  b. 9%
c. 11%  d. 13%

5. The smallest number which may be added to the number 8691 so as to make it a perfect square is

a. 42  b. 140  
c. 145  d. 84

6. The smallest integer by which 1575 must be divided to make the quotient a perfect square is

a. 3   b. 5
c. 7   d. 8

7. By selling goods for Rs.364, I lose 9 percent. To gain 10 percent I should sell it at

a. Rs.400  b. Rs.420
c. Rs.440  d. Rs.450

8. The fourth proportional of 3, 4, 9 is

a. 8    b. 12
c. 16    d. 18

9. The number nearest to 100000 and divisible by 2, 3, 4, 5, 6, 7 is

a. 99930  b. 99960
c. 99976  d. 99996

10. The present age of the father is three times that of his son, 8 years hence the ratio of their ages will be 11:5. The present age of the son is

a. 8 years  b. 12 years
c. 15 years  d. 16 years

11. A man sells an article at a profit of 20 percent on sales. If the cost price be Rs.960 its selling price is

a. Rs.1000  b. Rs.1100
c. Rs.1350  d. Rs.1200

12. A mixture is formed by taking 2 kg. of a powder at Rs.2 per kg., 6 kg. at Rs.3 per kg. and 8 kg. at Rs.4 per kg. The price per kg. of the mixture is

a. Rs.3.37  b. Rs.3
c. Rs.3.50  d. Rs.4

13. 0.005123 when multiplied by 5.38 is

a. 0.02756174 b. 0.2756174
c. 2.756174 d. 27.56174

14. 7.5 % of Rs.4600 is

a. Rs.342  b. Rs.345
c. Rs.347  d. Rs.349

15. A meter-measure is 1 cm. too short. The true length of cloth which apparently measures Y meters is

a. Y m.1 cm. b. Y.Y m.
c. Ym. Ycm. D. None of these

16. 5 men and 3 boys can plough 65 acres in 15 days. The number of days in which 8 men and 5 boys will plaugh 280 acres, one man being able to do twice as much as a boy is

a. 30  b. 40
c. 35  d. 25

17. A merchant buys plots at such a price that by selling it at Rs.4.50 per meter he will gain 12.5% on his outlay. His cost per meter is

a. Rs.4  b. Rs.3.5
c. Rs.3  d. Rs.4.10

18. 8897/10619 when reduced to lowest term is

a. 33/39  b. 141/147
c. 31/37  d. 1/17

19. By selling a picture for Rs.55.20, I lose 8 per cent. The buying price of the picture was

a. Rs.60  b. Rs.64
c. Rs.68  d. Rs.72

20. The number which multiplied by 37 gives the same product as 296 multiplied by 309, is

a. 2072  b. 2272
c. 2472  d. 2572

Answers: 1(a), 2(d), 3(d), 4(b), 5(c), 6(c), 7(c), 8(b), 9(b), 10(b)
11(d), 12(a), 13(a), 14(b), 15(d), 16(b), 17(a), 18(c), 19(a), 20(c).

Math Set - 7

1. The length of the square, the area of which is equal to the area of a rectangle of sides 49.28 and 27.72 meters is

a. 36.16 m.  b. 36.56 m.
c. 36.76 m.  d. 36.96 m.

2. The value of square root of 341.1409 is

a. 18.43  b. 18.47
c. 18.63  d. 18.67

3. The sum of money that will amount to Rs.2400 at the rate of 8% simple interest per year in 2.5 years is

a. Rs.1500  b. Rs.1800
c. Rs.2000  d. Rs.2100

4. For an increase of income tax of 3 paisa per rupee the income of a man is reduced by Rs.150. His total income is

a. Rs.4800  b. Rs.4900
c. Rs.5000  d. Rs.5200

5. When a company decreased the price of its scooters by 30%, the sales of scooters increased by 30%. The net effect on total sale is

a. 6% decreased
b. 3% increased
c. 6% increased
d. 9% decreased

6. A bag contains 8 red , 5 white balls, 2 balls are drawn at random. What is the probability that both are white?

a. 2/16  b. 2/89
c. 2/110 d. 5/39

7. The breadth of a rectangular field is 75% of its length. If the perimeter of the field is 1,050 meters, the area of the field is

a. 65,000 sq.m.
b. 62,000 sq.m.
c. 67,000 sq.m.
d. 68,500 sq.m.

8. A sum of money is to be divided among A, B and C in the ratio of 3:7:6. If the difference in the shares of A and B is Rs.2,700. What is the share of C?

a. Rs.4050  b. Rs.4000
c. Rs.4100  d. Rs.4500

9. Dinesh and Ram can independently complete a piece of work in 80 and 120 minutes respectively. If they work together, how much time will they take to complete the work?

a. 24 minutes b. 100 minutes
c. 48 minutes d. 200 minutes

10. were employed to finish a job in 20 days but the men drop off by 5 at every 10th day. In what time the work will be complete?

a. 27 years  b. 23.33 days
c. 28 days  d. 26 days

11. If x men can do a piece of work in 8 says and x+4 men can do the same work in 6 days then x is equal to

a. 10  b. 6
c. 12  d. 24

12. By selling 12 oranges for a rupee, a man lose 20%. How many for a rupee should he sale to gain 20%.

a. 15  b. 10
c. 8  d. 5

13. If 3 men and 5 women can do a piece of work in 8 days and 2 men and 7 children can do the same piece of work in 12 days, how many women can do as much work in a day as 21 children?

a. 10  b. 15
c. 12  d. 7

14. If the area of the adjacent faces of a rectangular block are in the ratio of 2:3:4 and its volume is 900 cm.cb. Then the length of the shortest side is

a. 30 cm.  b. 20 cm.
c. 15 cm.  d. 10 cm.

15. If 5 men and 3 children can reap 23 acres of field in 4 days and 3 men and 2 children can reap 7 acres in 2 days, how many children must assist 7 men in order that they may reap 45 acres in 6 days?

a. 2   b. 3
c. 4   d. 5

16. If each edge of a cube is increased by 50%, the percentage increased in the surface area is

a. 50%  b. 75%
c. 100%  d. 125%

17. The length of canvas1.1 m. wide required to build a conical tent of height 14m. and the floor area of 346.5 sq.m. is

a. 65 m.  b. 525 m.
c.  490 m.  d. 860 m.

18. A man takes 5 hours 45 minutes in walking to certain place and riding back on a scooter. He would have gained 2 hour by riding on a scooter both ways. The time he would take to walk both ways is

a. 7 hrs.45 mins
b. 8 hrs. 25 mins.
c. 8 hrs.30 mins.
d. 6 hrs.30 mins.

19. If 20 men complete one third of a work in 20 days, how many more men should be employed to finish the rest of the work in 25 days?

a. 10  b. 12
c. 15  d. 20

20. A bag contains 5 blue and 4 black balls. Three balls are drawn at random. What is the probability that 2 are blue and 1 is black?

a. 10/21 b. 2/5
c. 1/6  d. 1/8

Answers: 1(d), 2(b), 3(c), 4(c), 5(d), 6(d), 7(c), 8(a), 9(c), 10(b)
11(c), 12(c), 13(a), 14(c), 15(a), 16(d), 17(b), 18(a), 19(b), 20(c). 

Math Set - 6

1. 6 mangoes are bought for Rs.5 and 5 mangoes are sold at Rs.6. The profit is

a. 40%  b. 44%
c. 48%  d. 51%

2. 4 percent is gained by selling an article for Rs.3.12. To gain 8 percent the article must be sold at

a. Rs.3         b. Rs.3.10
c. Rs.3.20 d. Rs.3.24

3. The principle that will amount to Rs.411.25 at simple interest at 5% for 3.5 years is

a. Rs.400  b. Rs.300
c. Rs.350  d. Rs.250

4. If x increased by 25% of itself, the result is diminished by 20% of itself and the final value is 300. The value of x is

a. 300  b. 250
c. 200  d. 350

5. An article is sold at a loss of 7.5% and yields Rs.6 less than if sold at a profit of 12.5%. The cost price of the article is

a. Rs.20  b. Rs.30
c. Rs.40  d. Rs.150

6. The time that 15 men will take to plough 33 acres, if 6 men take 10 days to plough 12 acres of land, is

a. 15 days  b. 12 days
c. 11 days  d. 10 days

7. A peon has a salary of Rs.1000 per month and a carpenter earns Rs.30 per day, but he is idle for 65 days in the year. The ratio of their income is(take 1 year=365 days)

a. 4:5  b. 5:6
c. 4:3  d. None of these

8. The price of a horse is 45% more than that of a cow. The total price of both is Rs.1225. The price of cow is

a. Rs.450  b. Rs.500
c. Rs.560  d. Rs.700

9. If 42 out of 60 students pass, the percentage of pass is

a. 60  b. 70
c. 72  d. 80

10. The largest number by which 63, 87 and 123 will be divided to leave the same remainder is

a. 8  b. 12
c. 16  d. 18

11. The number of square meters in one are is

a. 10  b. 100
c. 1000  d. 10000

12. A number changed to 69 on being increased by 15% the number is

a. 45  b. 50
c. 60  d. 64

13. The number of prices each 3.4 cm. long that can be cut from a length of 4.3 meters of a wire is

a. 125  b. 210
c. 126  d. 100

14. The average daily salary per head of all the workers including the officer is Rs.60 and that of 16 officers is Rs.300. The average daily salary per head of the rest is Rs.55. The total number of workers including the officers is

a. 1000  b. 850
c. 750  d. 784

15. A dealer makes 20% profit on his cost and the retailer 20% on his sales. The amount of percentage the consumer pays above the manufacturer’s price is

a. 20%  b. 30%
c. 40%  d. 50%

16. 55 persons can complete a work in 9 hours. The number of extra men that should be employed to finish it in 5.5 hours is

a. 45  b. 42
c. 90  d. 35

17. A book contains 800 pages of 45 lines each. The number of lines per page it must be made up if, it is to be completed in 900 pages is

a. 40  b. 50
c. 35  d. 55

18. An amount doubles itself in 20 years. The time which it will triple itself is

a. 50 years  b. 35 years
c. 40 years  d. 45 years

19. The largest number of 5 digits which is perfect square is

a. 99814  b. 99826
c. 99856  d. 99975

20. A man buys chocolates at Rs.50 per ten. He sales them at Rs.72 per dozen. His gain percent is

a. 6  b. 5
c. 20  d. 15

Answer: 1(b), 2(d), 3(c), 4(a), 5(b), 6(c), 7(c), 8(b), 9(b), 10(b)
11(b), 12(c), 13(c), 14(d), 15(d), 16(d), 17(a), 18(c), 19(c), 20(c).

Math Set - 5

1. The square number between 1000 and 2000 which is divisible by 13 is

a. 1495  b. 1508
c. 1521  d. 1534

2. The smallest number of six digits which is a perfect square is

a. 100472  b. 100489
c. 100526  d. 100548

3. 7.5 % of Rs.2500 is

a. Rs.180  b. Rs.185
c. Rs.190  d. None of these

4. In a race of 1500 meters A and B by 50 meters and C by 79 meters. In 1000 meters race (assuming the rates of running being the same as in the previous race) B beats C by

a. 10 m  b. 12 m
c. 16 m  d. 20 m

5. A man makes a profit of 20% on sales. The percentage of profit on cost becomes

a. 20  b. 30
c. 25  d. 22.5

6. Square of 197 is equal to 38809; square of 198 is equal to

a. 39184  b. 39194
c. 39204  d. 39214

7. 62.7525 when divided by 2.25 is

a. 2.789  b. 27.89
c. 0.2789  d. 278.9

8. A man traveled 3/7 of the total distance by boat and 2/5 by train. The remaining 18 km. he walked. The total distance he traveled is

a. 80 km.  b. 96 km.
c. 100 km.  d. 105 km.

9. 2 men and 5 boys can do half of a piece of work in 5 days and 3 men and 4 boys can do 1/3 of it in 3 days. The number of days that 9 men will take to do it is

a. 9 days  b. 7 days
c. 5 days  d. 8 days

10. If 2500 men have provisions for 150 days, and if after 15 days 1000 men go away then the remaining provisions will serve, the number left for

a. 81 days  b. 225 days
c. 135 days d. 200 days

11. The number of days old that a person would be on 31 December, 1910 who was born on 24th January, 1892 is

a. 6915  b. 6916
c. 6917  d. 6918

12. The number of square meters in a square kilometers is

a. 1000  b. 10000
c. 100000 d. 1000000

13. 0.56 of a right angle when expressed in degrees, becomes

a. 48.6  b. 50.4
c. 52.2  d. 54.6

14. Rs.2520 is divided into two parts one of which is 10/11 of the other. The smaller part is

a. Rs.1200  b. Rs.1320
c. Rs.2000  d. Rs.1500

15. In order that 5416*6 will be a perfect square, the missing digit will be

a. 3   b. 5
c. 7   d. 9

16. The time in which Rs.1500 amounts to Rs.1770 at 9% simple interest per annum is

a. 1.5 years b. 2 years
c. 2.5 years d. 3 years

17. The time taken by a train 135 meter long moving @ 57 km. per hour to pass over a platform of length 245 meter is

a. 20 sec  b. 24 sec
c. 28 sec  d. 30 sec

18. An amount Rs.8100 is left after paying income tax @ 10%. The amount that will be left after paying income tax @ 15% is

a. Rs.7640  b. Rs.7680
c. Rs.8000  d. None of these

19. A mixture of 200 liters of milk and water contains 12.5 % of water. The quantity of water that should be mixed so that the mixture will contain 37.5% water, is

a. 60 liters  b. 75 liters
c. 80 liters  d. None of these

20. A man paid 18% of his income in insurance and 11% in rent. His insurance payment was Rs.360. His payment for rent was

a. Rs.220  b. Rs.200
c. Rs.180  d. Rs.160

Answer: 1(c), 2(b), 3(d), 4(d), 5(c), 6(c), 7(b), 8(d), 9(c), 10(b)
11(b), 12(d), 13(b), 14(a), 15(d), 16(b), 17(b), 18(d), 19(c), 20(a).

Math Set - 4

1. A sheet of postage stamps is 22 cm. wide and 33 cm. long: each stamp is 2 cm. wide and 3 cm. long. The number of stamps in the sheet is

a. 131  b. 121
c. 125  d. 119

2. A number changes to 44 on being reduced by 12%. The number is

a. 50   b. 40
c. 60  d. 45

3. A man sold an article for Rs.60 so as to gain 20%. Had he sold the article for Rs.120, his profit would have been

a. 40%  b. 80%
c. 140%  d. 120%

4. The age of the father and the son are together 35 years. If twice of the father’s age added to three times of the son, is 75 years, the son’s age is

a. 2 years  b. 6 years
c. 4 years  d. 5 years

5. A sum of money lent at simple interest yields amounts to Rs.222 and Rs.240 at the end of 4 and 5 years. The rate of interest is

a. 10%  b. 9%
c. 12%  d. 15%

6. In an examination failure in English is 27%, that in Mathematics is 22% and that in both subject is 14%. The percentage of passes in both subjects is therefore

a. 37  b. 21
c. 65  d. 35

7. A man was engaged in a certain work for 6 days on the agreement that for everyday he worked he would get Rs.16 but that for everyday he absented himself he would be fined Rs.4. If he finally received Rs.76 at the bud of the work, then he was absent for

a. 1 days  b. 2 days
c. 5 days  d. None of these

8. A man standing on a railway platform noticed that a train traveling at the rate of 44 km. per hour took 9 seconds to pass him. The length of the train is

a. 120 m.  b. 112 m.
c. 100 m.  d. 110 m.

9. A certain sum of money was divided between A, B and C in the proportion of 5, 6 and 9 respectively. If A received Rs.45, then the whole sum of money was

a. Rs.100  b. Rs.120
c. Rs.160  d. Rs.180 

10. A rectangular solid is twice as long as it is broad and its height is 3 m. If its volume is 384 cu. m. its length is

a. 8 m.  b. 12 m.
c. 16 m.  d. None of these

11. With current a man can now boat 1 km. in 6 minutes and against current 1 km. in 10 minutes. The speed of the current is

a. 1.5 km/hr b. 1 km/hr
c. 2.5 km/hr d. 2 km/hr

12. Two samples of tea costing respectively Rs.54 per kg. and Rs.72 per kg. are blended. By selling the mixture at Rs.70 per kg., there is a 16.66% gain. The proportions of the mixture is

a. 1:2  b. 2:1
c. 2:3  d. 3:2

13. The number 11.5% of which is 69 is

a. 500  b. 600
c. 650  d. 700

14. The average salary income of A, B, C is Rs.140 and that of B, C, D is Rs.150. If the salary of A is Rs.130, that of D will be

a. Rs.160  b. Rs.172
c. Rs.184  d. Rs.200

15. The smallest integer by which 1792 should be multiplied to make it a perfect square is

a. 3   b. 5
c. 7   d. 9

16. The sum of two numbers is 2760, and the greater number is 11 times the smallest number, then the greater number is

a. 230  b. 2530
c. 276  d. 2150

17. The gross value of an estate which yields Rs.3,800 after the deduction of commission of 5% is

a. Rs.5000  b. Rs.4500
c. Rs.4000  d. Rs.3500

18. 15% of Rs.34 is

a. Rs.3.5  b. Rs.5
c. Rs.5.1  d. Rs.5.3

19. An article which cost Rs.130 was sold at a profit of 7.5%. The selling price of the article was

a. Rs.130    b. Rs.139.75
c. Rs.142.25    d. Rs.145

20. A pile of metal discs is 27.3 cm. in height. If each disc is 0.7 cm. thick, then the number of discs in the pile is

a. 35  b. 37
c. 39  d. 41

Answers: 1(b), 2(a), 3(c), 4(d), 5(c), 6(c), 7(a), 8(d), 9(d), 10(c)
11(d), 12(a), 13(b), 14(a), 15(c), 169b), 17(c), 18(c), 19(b), 20(c).

Math Set - 3

1. A car travels 120 meters in 6 seconds. The rate in kilometers per hour is-

a. 60		b. 72		
c. 100		d. 82

2. The number 24*83 is divisible by 11. The * marked digit is

a. 8			b. 4
c. 7			d. 6

3. 8^th January, 1988 was Friday. 9^th September, 1988 was

a. Thursday	b. Friday
c. Sunday		d. Tuesday

4. If the length of a rectangular plot is increased by 5% and the breadth is decreased by 10% then its area is

a. decreased by 5.5%
b. decreased by 9.45%
c. increased by 5.5%
d. increased by 9.45%

5. In a division, a student took 23 as devisor instead of 32. His answer was 64. The correct answer is

a. 36		b. 46
c. 50		d. 56

6. If 16 out of 40 students fail, the percentage of pass is

a. 40		b. 60
c. 25		d. None of these

7. The largest number which has to be subtracted from 390 to make the remainder divisible by 2, 4, 5, 6 is

a. 360		b. 330
c. 270		d. 300

8. . 2 men and 3 boys can finish a work in 6 days, but 3 men and 2 boys can finish the same work in 4 days. A man and a boy can finish the work in

a. 10 days		b. 12 days
c. 14 days		d. 18 days

9. A buys a pen at Rs.15 and sells it to B at a profit of 20% and B sells it at a loss of 10%. The loss of B is

a. Rs.1.80		b. Rs.1.50
c. Rs.3.00		d. Rs.2.50

10. A dealer allows 10% discount on the list price of an article and yet makes a profit of 25% on the article. If the listed price is Rs.50, then the cost price of the dealer on that article was

a. Rs.25		b. Rs.30
c. Rs.36		d. rs.40

11. If a quantity of rice serve 100 men for 15 weeks, the same quantity will serve 250 men for

a. 6 weeks	b. 10 weeks
c. 15 weeks	d. 37.5 weeks

12. A and B can do a piece of work in 30 days, B and C in 24 days and C and A in 20 days. If they all work together, the work will be finished in

a. 74 days		b. 37 days
c. 8 days		d. 16 days

13. If a train 150 meters long passes a telegraph post in 12 seconds, then the time in which it will pass a bridge 250 meters long is

a. 25 secs		b. 30 secs
c. 32 secs		d. 35 secs

14. Each side of a rectangular field is increased by 20%. The area of the field is increased by

a. 40%		b. 35%
c. 44%		d. 36%

15. The average of 30 boys in a class was 10 years. 4 new boys were admitted, the class average was then 9 years 6 months. The average age of 4 newly admitted boys was

a. 8 years		b. 6 years
c. 5 years 9 months
d. 7 years 6 months

16. The square of a number exceeds double the number by 360. If the number is positive, it is

a. 14		b. 18
c. 20		d. 25

17. The radius of a bicycle wheel is 84 cm. The number of times it will revolve in going through 1.056 km. is

a. 150		b. 175
c. 180		d. 200

18. A reduction of 20% in the price of flour would enable a purchaser to get 4 kg. more for Rs.100. The reduced price per kg. is then

a. Rs.4		b. Rs.5
c. Rs.8		d. Rs.10

19. I spent 20% of my money and then 25% of the remainder. I have still Rs.12 left. I had at first

a. Rs.15		b. Rs.20
c. Rs.16		d. Rs.24

20. By selling an article for Rs.60, a man gains 20%. If the same article were sold for Rs.55, there would have been

a. a gain of 5%
b. a loss of 5%
c. a loss of 10%
d. a gain of 10%

Answers: 1(b), 2(c), 3(b), 4(a), 5(b), 6(b), 7(b), 8(b), 9(a), 10(c)
11(a), 12(d), 13(c), 14(c), 15(c), 16(c), 17(d), 18(b), 19(b), 20(d).

Math Set - 2

1. At present the father is 4 times as old as the son. 5 years hence the father will be 3 times as old as the son. The father’s present age is

a. 32 years		b. 40 years
c. 44 years		d. 30 years

2. A man walks a certain distance and rides back in 3 hr. 45 mts. He could ride both ways in 2.5 hrs. To walk both ways, the man would take

a. 2.5 hrs.		b. 5 hrs.
c. 5.5 hrs.		d. 4 hrs.

3. The difference of simple interests on a certain sum lent at 12% per annum for 4 years and 7 years is Rs.216. The sum invested is

a. Rs.500		b. Rs.550
c. Rs.600		d. Rs.675

4. Annual incomes of A and B are in the ratio 4:3 and their annual expenses are in the ratio 3:2. If each of them saves Rs.600 at the end of the year, then the annual income of A is

a. Rs.1800		b. Rs2000
c. Rs.2200		d. Rs.2400

5. Walking at 4 km. per hour a man reaches his office 5 minutes late but if he walks at 5 km. per hour he reaches 2.5 minutes early. The distance of his office is

a. 2 km.		b. 2.5 km.
c. 5.2 km.		d. 3.5 km.

6. The salaries of A and B are respectively Rs.900 and Rs.600. A spends 90% of the salary and B 80% for family expenses. Savings of A and those of B are in the ratio of

a. 3:4		b. 4:3
c. 2:3		d. 2:5

7. If a train 150 meters long passes a telegraph post in 12 seconds then the speed of the train is

a. 35 km./hr.	b. 40 km./hr.
c. 45 km./hr.	d. 60 km./hr.

8. A rectangular plot of length 20 cm. breadth 15 cm. and height 10 cm. is half filled with water. 300 cu cm. more water is added to it. The increase in the level of water is

a. 1 cm.		b. 1.2 cm
c. 2 cm.		d. 3 cm.

9. Two numbers have their H.C.F. as 17 and L.C.M. as 340. The ratio of the two numbers is 5:4. The greater number is

a. 10		b. 14
c. 20		d. None of these

10. If 6 men or 8 boys can do a piece of work in 18 days, 3 men and 5 boys can do the same work in

a. 10 days		b. 12 days
c. 16 days		d. 20 days

11. A reduction of 12.5% in the price of an article enables a man to purchase 4 more for a rupee. The number of article that he can purchase at the reduced price is

a. 25		b. 30
c. 32		d. 40

12. A man rows down a river 18 km. in 4 hours with the stream and returns in 12 hours. The rate at which the stream flows is then

a. 3km./hr	b. 2.5 km./hr.
c. 2 km./hr.	d. 1.5 km./hr.

13. A sum of money lent out at simple interest amounts to Rs.560 in 3 years and to Rs.600 in 5 years. The rate of interest is

a. 5%		b. 20%
c. 15%		d. None of these

14. The proportion in which a 30% solution of a substance should be added to a 56% solution to give a resulting 40% solution is

a. 8:5		b. 5:8
c. 5:6		d. 6:5

15. A tap y can fill a cistern in 10 hours. A second tap x can fill the cistern in ¼ th of the time taken by y. Both the taps are opened together. The cistern is filled up in

a. 8 hrs. 		b. 2 hrs.
c. 4 hrs.		d. 5.5 hrs.

16. The least number by which 504 must be multiplied to make it divisible by 189 is

a. 2			b. 3
c. 8			d. 9

17. The smallest number which, when divided by 10 leaves a remainder 9, when divided by 12 leaves a remainder 11 and when divided by 14 leaves a remainder 13 is

a. 419		b. 369
c. 169		d. 421

18. The product of 9999 and 999 equals-

a. 9998001		b. 9990801
c. 9990081		d. 9989001. 

19. 1/3 of a pole is in mud, ¼ in water and 3.5 meters is above water. The length of the pole is

a. 6.3 meters	b. 4.2 meters
c. 8.4 meters	d. 11.12 meters

20. 429 mangoes and 715 oranges are to be equally divided among few children so that each child gets the maximum number of fruits. The required number of children is

a. 143		b. 13
c. 52		d. 11

Answers: 1(b), 2(b), 3(c), 4(d), 5(b), 6(a), 7(c), 8(a), 9(d), 10(c)
11(c), 12(d), 13(d), 14(a), 15(b), 16(b), 17(a), 18(d), 19(c), 20(a).

Math Set - 1

1. 1. The least number by which 168 must be multiplied to make it divisible by 126 is

a. 3			b. 2
c. 4			d. 5

2. The smallest number which when divided by 24 leaves a remainder 23, but when divided by 27 leaves a remainder 26, is

a. 95		b. 107
c. 205		d. 215

3. At 1 P.M the angle between the hour and the minute hands of a clock is

a. 5 degree	b. 10 degree
c. 30 degree	d. 60 degree

4. A vessel full of water weighs 4 kg. When half full of water the vessel weighs 2.5 kgs. The weighs of the empty vessel is

a. 1 kg	        b. 1.5 kg
c. 3.25 kg	d. 3 kg

5. A man cycles 4.2 km. in 17.5 minutes. His speed in meter per second is

a. 8			b. 5.5
c. 4			d. 6

6. The number 862*4 is divisible by 11. The * marked digit is

a. 2			b. 4
c. 8			d. 5

7. 1^st March,1987 was Sunday; 1st November, 1987 was

a. Monday		b. Sunday
c. Saturday		d. Tuesday

8. A and B are two different alloys of gold and copper prepared by mixing the metals in the proportion 7:2 and 7:11 respectively. If equal quantities of alloys are melted to form a third alloy C, then the proportion of gold and copper is

a. 2:11		b. 1:2
c. 5:7		d. 7:5

9. A number on being divided by 5, 6 successively leaves remainder 3 and 4 respectively. The same number on being divided by 30 leaves the remainder

a. 29		b. 19
c. 26		d. None of these

10. . If 1/3 of the journey has been done by train, 2/3 of the rest by bus and the remaining 20 km. by boat, the total journey to be covered is

a. 96 km.		b. 90 km.
c. 84 km.		d. 120 km.

11. In a question paper in Arithmetic containing 50 questions, a student answers question numbered 1, 3, 5, 7,…… The total number of questions answered by the student is

a. 25		b. 24
c. 23		d. 26

12. The least number nearest to 388 divisible by 2, 4, 5 and 6 is

a. 360		b. 420
c. 390		d. 340

13. If 1^st January 1881 was Monday, the total number of Mondays in that year was

a. 51		b. 52
c. 53		d. 54

14. A can do a piece of work in 15 days; with the help of B he can finish the work in 10 days. B alone can do the piece of work in

a. 25 days		b. 40 days
c. 30 days		d. 20 days

15. Each side of a rectangular field is diminished by 20%. The area of the field is diminished by

a. 40%		b. 36%
c. 44%		d. 32%

16. A liter of milk is diluted by adding 20% water. The percentage of milk in the mixture is

a. 80%		b. 82.75%
c. 75%		d. 83.33%

17. A dealer enhances the price of an article by 10% ; but allows 10% commission at the time of selling. The article costs Rs.100 originally. The man

a. does not lose or gain
b. gain Re.1	c. loses Re.1		
d. gains Rs.2

18. 30% of A’s money equals to 7.5% of B’s money. If B has Rs.3000 then A has

a. Rs.750		b. Rs.1250
c. Rs.1500		d. Rs.1750

19. The length of a straight ruler is 1.25 cm. Its length is chosen as 1.3 cm. The percentage error is

a. 4%		b. 5%
c. 2%		d. 4.5%

20. A reduction of Rs.20 in the sale price of an article changes a profit of 20% into a loss 20%. The cost price of the article is

a. Rs.60		b. Rs.40
c. Rs.50		d. Rs.55

Answers: 1(a), 2(d), 3(c), 4(a), 5(c), 6(c), 7(b), 8(d), 9(d), 10(b)
11(a), 12(a), 13(c), 14(c), 15(b), 16(d), 17(c), 18(a), 19(a), 20(c)