Math Set - 24

1. 15% of ? = 94.5

a. 630   b. 141
c. 1410  d. 150

2. 999 ÷ 9 ÷ 3 = ?

a. 33 b. 35
c. 37 d. 41

3. 15⁹ x 15⁸ = 15^?

a. 72 b. 17
c. 1  d. 24

4. If 36a + 36b = 288, what is the average of a & b?

a. 2 b. 4
c. 8 d. 12

5. Find the average of the following set of scores: 345, 231, 777, 560, 892, 443, 556

a. 542  b. 550
c. 560  d. 562

6. 63% of a number is 2583. What is 45% of that number?

a. 1763  b. 1927
c. 1845  d. 2312

7. A car covers a distance of 728 kms in 13 hours. What is the speed of the car?

a. 46 km/hr  b. 48 km/hr
c. 52 km/hr  d. 56 km/hr

8. What is the least number to be added to 3986 to make it a perfect squre?

a. 95   b. 100
c. 110  d. 118

9. Mohit & Sumit are 35 & 40 years respectively. After how many years would the ratio of their ages become 9:10?

a. 5 yrs  b. 10 yrs
c. 12 yrs d. 15 yrs

10. 15 women can complete a work in 4 days. In how many days will 20 women complete the work

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

11. What is 411 times of 108?

a. 44388 b. 45848
c. 41328 d. 42818

12. 51% of a number is 714. What is 28% of that number?

a. 351  b. 392
c. 364  d. 378

13. A canteen requires 42 dozens apples for a week. How many dozen apple will it require for 39 days?

a. 294  b. 273
c. 234  d. 256

14. What would be the compound interest obtained on an amount of Rs. 5500 at the rate of 5 P.C.pa after two years?

a. Rs. 555.85  b. Rs. 645
c. Rs. 588     d. Rs. 563.75

15. The cost of 15 cell phones and 10 watches is Rs. 60675. What is the cost of 3 cell phones and 2 watches?

a. Rs. 11135  b. Rs. 12135
c. Rs. 13125  d. Rs. 13235

16. The average age of a woman and her daughter is 24 years. The ratio of their ages is 3:1 respectively. What is daughter’s age?

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

17. Bishal invests Rs. 5724 in mutual funds, which is 18% of his monthly income. What is his monthly income?

a. Rs. 26800  b. Rs. 29800
c. Rs. 31800  d. Rs. 32800

18. The average of 5 consecutive odd numbers A, B, C, D and E is 95. What is the product of C and E?

a. 9215  b. 9405
c. 9120  d. 9225

19. What is the least number to be added to 8200 to make a perfect square?

a. 51  b. 61
c. 71  d. 81

20. The average age of 3 friends is 32 years. If the age of the fourth friend is added, their average age comes to 31 years. What is the age of the fourth friend?

a. 32 yrs b. 28 yrs
c. 26 yrs d. 24 yrs

Answers:-

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

Math Set - 23

1. A person incurs 5% loss by selling a watch for Rs. 1140. To earn 55 profit, at what price the watch should be sold?

a. Rs. 1311 b. Rs. 1197
c. 1254     d. Rs. 1260

2. A person sells 320 mangoes at the cost price of 400 mangoes. What is his profit percent?

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

3. A seller marks his goods 30% above the cost price but allows 15% discount for cash payment. What is his profit percent when sold in cash?

a. 10.5%      b. 8.5%
c. 9%         d. 15%

4. A number when divided by 133 leaves a remainder 21. If the same number is divided by 19, then the remainder will be

a. 1  b. 2
c. 7  d. 21

5. In what time Rs. 8000 at 3% simple interest per annum will produce the same earning as Rs. 6000 do in 5 years at 4% simple interest per annum?

a. 3 years  b. 4 years
c. 5 years  d. 6 years

6. A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B now does the work only for half a day daily, then in how many days A and B together will complete the work?

a. 15 days  b. 11 days
c. 20 days  d. 10 days

7. If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?

a. 1 day    b. 7 days
c. 49 days  d. 3.5 days

8. A tap can fill a tank in 25 minutes and another tap can empty it in 50 minutes. If both the taps are opened together simultaneously then the tank will be filled in

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

9. 3674 ÷ 44 = ?

a. 81.5 b. 82.5
c. 83.5 d. 84.5

10. 36³ x 5³ -2400² = ?

a. 720         b. 7200
c. 72000       d. 72

11. 11256 + 5838 – 623 = ? x 91

a. 174 b. 181
c. 195 d. 201

12. 89% of 541 = ?

a. 450.65  b. 437.72
c. 445.67  d. 481.49

13. 68.8 x 14.7 x 7.1 = ?

a. 7108.565 b. 7018.665
c. 7081.556 d. 7180.656

14. 9.3 x ? = 523.59

a. 56.3 b. 42.7
c. 68.9 d. 74.8

15. 10354 – 6815 – 1359 = ?

a. 2180 b. 1720
c. 1940 d. 2270

16. 16 x ? = 8736 ÷ 6

a. 79  b. 115
c. 103 d. 91

17. 35% of 411 - ?% of 272 = 84.01

a. 17% b. 22%
c. 25% d. 31%

18. 155 + 45 x 9 = ?

a. 209  b. 560
c. 1440 d. 6980

19. sqrt of (330625) = ?

a. 545 b. 565
c. 575 d. 615

20. 372.81 – 0.002 + 2.004 = ?

a. 374.812  b. 374.141
c. 374.816  d. 376.812

Answers:-

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

Math Set - 22

1. A person wants to travel a distance of 50 km by his bicycle. He travels with the speed of 12.5 km/hr. After every 12.5 km, he takes a rest for 20 minutes. How much time will he take to complete the whole distance?

a. 4 h 20 min  b. 5 h 20 min
c. 5 hours     d. 6 hours

2. A and b walk on a circular path whose circumference is 35 km. They start walking from the same place in the direction and at the same time. Speed of A is 4 km/h and speed of B is 5 km/h. After how much time will they meet again

a. 15 hours  b. 21 hours
c. 35 hours  d. 42 hours

3. Radius of a wheel is 0.25 m. how many times will it take to complete the distance of 11 km.?

a. 2800  b. 7000
c. 4000  d. 5500

4. A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?

a. 7.2  b. 3.6
c. 10   d. 8.4

5. At present, average age of Ashok and Pradeep is 4:3. After six years Ashok’s age will be 26 years. What is the age of Pradeep at present?

a. 12 years   b. 15 years
c. 19.5 years d. 21 years

6. How many cubes of 10 cm edge can be put in a cubic box of 1 m edge?

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

7. A man has some hens and cows. If the numbers of heads be 48 and number of feet equals 140, then the numbers of hen will be

a. 22 b. 23
c. 24 d. 26 

8. By selling 12 oranges for a rupee, a man loses 20%. How many for a rupee should he sell to get a gain of 20%?

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

9. How many times a day, are the hands of a clock in straight line but opposite in diretion?

a. 24 b. 20
c. 22 d. 48

10. Which of the following is the smallest number that gives remainder ‘2‘everytime, when divided by 6, 7, 8, 9 and 12?

a. 756  b. 504
c. 754  d. 506

11. Sqrt of (0.9) = ?

a. 0.3  b. 0.94
c. 0.03 d. 0.33

12. In an examination, 65% students passed in Civics and 60% in History. 40% passed in both of these subjects. If 90 students failed in History and Civics both, then what is the total number of students?

a. 600  b. 650
c. 700  d. 750

13. A mixture of water and milk is 40 litres. There are 10% water in it. How much water should now be added in this mixture so that new mixture contains 20% water?

a. 4 litres   b. 5 litres
c. 6.5 litrs  d. 7.5 litres

14. The length of a rectangle is increased by 40% and its breath decreased by 30%. The change in the area of the rectangle is

a.10% increased  b. 10% decreased
c. 2% increased  d. 2% decreased

15. The average marks of 48 students in a class is 45. The average marks of the boys in the class is 40 and the average marks of the girls in the class is 50. What is the ratio between the number of boys number of girls in the and the class?

a. 3:5  b. 4:5
c. 1:1  d. Data inadequate

16. The average earning of a mechanic for the first four days of a week are Rs. 18 and for the last four days Rs. 22. If he earns Rs. 20 on the fourth day, then his average earnings for the whole week are

a. Rs. 18.95 b. Rs. 16
c. Rs. 20    d. Rs. 25.71

17. Rs. 53 are divided among A, B and C such that A gets Rs. 7 more than B and B gets Rs. 8 more than C. What is the ratio of their shares?

a. 16:9:18   b. 25:18:10
c. 18:25:10  d. 15:8:30

18. Two numbers are in the ratio 5:9. After adding 9 to each number, the ratio becomes 16:27. One number out of the two will be

a. 99  b. 77
c. 88  d. 66

19. Kanti started a business investing Rs. 9000. After five months, Sudhakar joined with a capital of Rs. 8000. If at the end of the year, they earned a profit of Rs. 6970, then what will be the share of Sudhaker in the profit?

a. Rs. 3690  b. Rs. 1883.78
c. Rs. 2380  d. Rs. 3864

20. Rs. 700 are distributed among A, B and C such that A gets half of what B gets and b gets half of what C gets. What is the share of C?

a. Rs. 600  b. Rs. 400
c. Rs. 300  d. Rs. 200

Answers:-

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

Math Set - 21

1. (0.9 x 0.9 x 0.9 + 0.1 x 0.1 x 0.1) is equal to

a. 0.73  b. 0.82
c. 0.91  d. 1.00

2. By what least number should 4320 be multiplied so as to obtain a number which is a perfect cube?

a. 40  b. 50
c. 60  d. 80

3. In an examination, a student had to obtain 33% of the maximum to pass. He got 125 marks and failed by 40 marks. The maximum marks were

a. 500  b. 600
c. 800  d. 1000

4. If A:B = 3:4 and B:C = 8:9 then A:B:C is

a. 8:6:9  b. 9:8:6
c. 6:8:9  d. 3:32:9

5. If 30% of (B-A) = 18% of (B+A), then the ratio A:B is equal to

a. 4:1  b. 1:4
c. 5:4  d. 5:9

6. Two numbers are in the ratio 3:5 and their LCM is 225. The smaller number is

a. 45  b. 60
c. 75  d. 90

7. The difference between the selling price and cost price of an article is Rs. 210. If the profit percent is 25, then the selling price of the article is

a. Rs. 950   b. Rs. 1050
c. Rs. 1150  d. Rs. 1250

8. If the ratio of the cost price and the sale price of an article be 5:6, the percentage of gain is

a. 25  b. 20
c. 18  d. 15

9. An article, which is marked Rs. 650, is sold for Rs. 572. The discount given is

a. 12%  b. 13%
c. 21%  d. 26%

10. Two successive discounts of 10% and 5% are equivalent to a single discount of

a.14%    b. 14.25%
c.14.50% d. 15%

11. 32 is what percent of 80?

a. 24%  b. 25.6%
c. 36%  d. 40%

12. The length of a rectangular plot of land is increased by 5% and the breathe is decreased by 10%, how much will its area increase or decrease?

a. 6.5% increase b. 5.5% decrease
c. 5.5% increase d. 6.5% decrease

13. A alone can complete a work in 18 days and B alone in 15 days. B alone worked at it for 10 days and then left the work. In how many more days, will A alone complete the remaining work?

a. 5  b. 5.5
c. 6  d. 8

14. Tapas works twice as fast as Mihir. If both of them together complete a work in 12 days, Tapas alone can complete it in

a. 15 days  b. 18 days
c. 20 days  d. 24 days

15. The speeds of the two trains are in the ratio 6:7. If the second train runs 364 km in 4 hours, then the speed of first train is

a. 60 km/hr  b. 72 km/hr
c. 78 km/hr  d. 84 km/hr

16. Two trains, 80 meters and 120 meters long, are running at the speed of 25 km/hr and 35 km/hr respectively in the same direction on parallel tracks. How many seconds will they take to pass each other?

a. 48  b. 64
c. 70  d. 72

17. At some rate of simple interest, A lent Rs. 6000 to B for 2 years and Rs. 1500 to C for 4 years and received Rs. 900 as interest from both of them together. The rate of interest per annum was

a. 5%  b. 6%
c. 8%  d. 10%

18. A sum of money becomes double in 3 years at compound interest compounded annually. At the same rate, in how many years will it become four times of itself?

a. 4    b. 6
c. 6.4  d. 7.5

19. There are 50 students in a class. Their average weight is 45 kg. When one student leaves the class the average weight reduces by 100 gm. What is the weight of the student who left the class?

a. 45 kg.    b. 47.9 kg.
c. 49.9 kg.  d. 50.1 kg.

20. 30 pens and 75 pencils altogether were purchased for Rs. 510. If the average price of a pencil was Rs. 2, what was the average price of a pen?

a. Rs. 9   b. Rs. 10
c. Rs. 11  d. Rs. 12

Answers:-

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

Math Set - 20

1. If (17)² is subtracted from the square of a number, the answer so obtained is 1232. What is the number?

a. 36  b. 42  c. 37
d. 39  e. 32

2. 22.5 x 32.4 ÷ 4.5 = ?

a. 164  b. 152  c. 156
d. 166  e. None

3. 3352 + 3331 + 3109 + 3456 = 28810 - ?

a. 13748  b. 15602  c. 13478
d. 15562  e. None

4. 324 x 149 = ?

a. 47628 b. 48276 c. 47978
d. 48622 e. None

5. 3055 ÷ 25 x 3.4 + 125 = ?

a. 52.50 b. 418.28 c. 662.68
d. 540.48 e. None

6. 75 x sqrt of (841) ÷ 15 = ?

a. 135  b. 145  c. 125
d. 115  e. None

7. (63)² ÷ (?)² + 3² = 58

a. 81  b. 6  c. 9
d. 36  e. 7

8. 8452 + 1208 = ? x 28

a. 345  b. 365  c. 355
d. 325  e. None

9. (5)² x (25)³ x 125 = 5^?

a. 9  b. 7  c. 8
d. 11 e. None

10. (3750 – 2580) ÷ 25 ÷ 6 = ?

a. 7.80  b. 280.80 c. 15.80
d. 250.50 e. None

11. 55% of 560 – 28% of ? = 229.6

a. 250  b. 260  c. 300
d. 320  e. None

12. (10248 ÷ 56) – (7568 ÷ ?) = 11

a. 42  b. 54  c. 48
d. 52  e. None

13. 97306 – 89306 = ?% of 32000

a. 20  b. 40  c. 35
d. 25  e. None

14. 12.5% of 350 x 8.4% of 250 = ?

a. 831.25  b. 913.50  c. 918.75
d. 1050    e. None

15. A number, when divided by 221, leaves a remainder 64. What is the remainder if the same number is divided by 13?

a. 0 b. 1 c. 11
d. 12    e. None

16. The LCM of two numbers is 44 times of their HCF. The sum of the LCM and HCF is 1125. If one number is 25, then the other number is

a. 1100  b. 975  c. 900
d. 800   e. None

17. 0.001 is equivalent to

a. 10%  b. 1%  c. 0.01%
d. 0.1% e. None

18. (6.5 x 6.5 – 45.5 + 3.5 x 3.5) is equal to

a. 10  b. 9  c. 7
d. 6   e. None

19. If the selling price of 4 articles is equal to the cost price of 5 articles, the profit is

a. 20%  b. 22.5% c. 25%
d. 30%  e. None

20. If selling price of an article is reduced by 60%, then there is a loss of 10% on cost price. The initial profit percent is

a. 70  b. 80  c. 100
d. 125   e. None

Answers;-

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

Math Set - 19

1. In an examination, Mandhar scored 80 marks in Mathematics, 95 marks in Science, 74 marks in Social Studies, 65 marks in English 72 marks in Hindi. If all the papers were out of 100, what is Mandhar’s overall percentage in the examination?

(a)75 (b)77.2 (c)78.5 (d)80 (e)None

2. The average of 5 positive numbers is 344. The average of the first two numbers is 650 and the average of last two numbers is 100. what is the third number?

(a)200 (b)210 (c)180 (d)Can’t determined (e)None

3. Shilpa can complete a piece of work in 15 days and Shamita can complete the same piece of work in 24 days. In approximately, how many days can Shilpa and Shamita together complete the same piece of work?

(a)6 days (b)4 days (c)7 days (d)9 days (e)12 days

4. Samir’s monthly income is twice Deepa’s monthly income. The ratio of the monthly income Deepa and Sandhya is 7:3 respectively and their average monthly income is Rs. 25000. What is Samir’s monthly income?

(a)Rs. 35000 (b)Rs. 50000 
(c)Rs. 75000 (d)Can’t determined (e)None

5. Find the average of the following set of scores- 450, 1050, 12, 390, 143, 286, 550, 999.

(a)390 (b)485 (c)520 (d)500 (e)None

6. There are 864 banana packed in dozens in 9 boxes. Each box has the same number of bananas. How many dozens of bananas are packed in each box?

(a)12 (b)9 (c)8 (d)6 (e)None

7. 450% of a number is 4725. What is 82% of that number?

(a)861 (b)1050 (c)681 (d)900 (e)None

8. A trader sells 40 meters of cloth for Rs. 8200 at a profit of Rs. 25 per meter of cloth. How much profit will the trader earn on 40 meters of cloth?

(a)Rs. 950  (b)Rs. 1500 
(c)Rs. 1000 (d)Rs. 1200 (e)None

9. What approximate value will come in place of the question mark (?) in the following question? (35² x 25) / 185 = ?

(a)Rs. 12000 (b)72000 (c)24000 (d)32000 (e)None

10. Mr. Pandit divided an amount of Rs. 108000 amongst his two daughters and three sons. Eachdaughter received thrice the amount as each of the sons. How much amount did each daughter receive?

(a)Rs. 12000 (b)72000 (c)24000 (d)32000 (e)None

11. In a sale, a discount of 15% was available on all the articles. If Vinit purchased an article for Rs. 4284 in the sale, what was the actual selling price of the article?

(a)Rs. 5050 (b)Rs. 5000 
(c)Rs. 5140 (d)Rs. 4950 (e)None

12. 32 teachers and 120 students were present at the beginning of the annual function and 16 teachers and 24 students came later for the function. What is the respective ratio of the number of teachers to the number of students who attended the function?

(a)1:4 (b)1:3 (c)1:2 (d)2:3 (e)None

13. A tourist bus covers a distance of 522 kms. At the speed of 58kms/hr. in 11 hours. If the bus halted at a tourist spot in the middle of the journey, for how much time did he halt?

(a)30 minutes (b)1 hour 
(c)1 hour 30 minutes (d)2 hours (e)None

14. The area of a circular plot is twice the area of a rectangular plot. If the area of the rectangular plot is 11088 sq. meters, what is the perimeter of the circular plot?

(a)484 meters (b)572 meters 
(c)528 meters (d)440 meters (e)None

15. The sum of the two digits of a two-digit number and the difference between the two digits of the two-digit number is 8. What is the two-digit number?

(a)80 (b)88 (c)44 (d)Can’t determined (e)None

16. The total number of students studying in a college is 4220. If the number of girls studying in the college is 2420, what is the respective ratio of the number of boys to the number of girls studying in the college?

(a)90:131  (b) 90:121
(c) 121:70 (d) 121:80 (e) None

17. The cost of 4 bags and 12 purse is Rs. 1520, what is the cost of 10 bags and 30 purses?

(a)Rs. 3600 (b)Rs. 3500 (c)Rs. 4000
(d)Rs. 3900 (e) None

18. The cost of 14 kgs. of rice is Rs. 672, the cost of 12 kgs. of wheat is Rs. 432 and the cost of 18 kgs. of sugar is Rs. 504. What is the total cost of 20 kgs. of rice, 15 kgs. of wheat and 16 kgs. of sugar?

(a)Rs. 1898 (b)Rs. 1948 (c)Rs. 2020
(d)Rs. 1964 (e) None

19. Vishvesh sets an alarm in two different clocks. The first alarm rings after every 30 minutes and the second alarm rings after every 90 minutes. If they rang together at 11 p.m., when is the earliest they will ring together again?

(a) 12.30 a.m (b) 2.00 a.m (c) 1.30 a.m
(d) 1.00 a.m   (e) None

20. The respective ratio between two numbers is 4:7. If 4 is added to each of the two numbers, their respective ratio is 3:5. What is the larger number?

(a)42  (b)63  (c) 56
(d) Can’t determined  (e) None

Answers;-

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

Math Set - 18

1. A sample is prepared by adding 25% by volume of water to pure glycerin. 40 liters of the sample is taken and to it pure glycerin is added in such a way that water comes down to 5% of the volume of the mixture. The of pure glycerin added is

a. 150 liters b. 100 liters
c. 160 liters d. 140 liters

2. A man has to cover 80 km. in 10 hours. He covers half of the journey in 3/5 of the time. If he has cover the remaining distance in the time left, his speed in km. per hour should now be

a. 12  b. 10
c. 15  d. 8

3. The sum of the ages of A and his father is 63 years. Four years ago the father was four times as old as A. The present age of the father is

a. 50 years  b. 45 years
c. 44 years  d. 48 years

4. The least number which must be added to 5322 multiplied by 5326 to make it a perfect square is

a. 4   b. 9
c. 1   d. 25

5. The daily wages of two workers are in the ratio 5:6. One gets Rs.11 more than the other. The total wages earned by them together in one day, is

a. Rs.120  b. Rs.121
c. Rs.132  d. Rs.88

6. A sum of Rs.625 is divided amongst 3 men, 5 women and 6 boys in such a way that each man receives 3 times as much as woman and each woman twice as much as a boy. The amount received by a woman is

a. Rs.25  b. Rs.75
c. Rs.50  d. Rs.60

7. The average monthly salary of A, B and C is Rs.400, and that of B, C and D is Rs.500. The actual salary of D is

a. Rs.575  b. Rs.475
c. Rs.525  d. Rs.350

8. Three persons A, B, C start a business, their capitals being in proportion 3:4:5. The amount of profit earned by C exceeds that earned by A by Rs.200. The total profit earned is

a. Rs.600   b. Rs.800
c. Rs.1000  d. Rs.1200

9. There are articles of three types A, B, C. 5 articles of type A cost as much as 8 articles of type B and 30 articles of type B cost as much as 3 articles of type C. The number of articles of type C that can be exchanged for 50 articles of type A, is

a. 6   b. 8
c. 10  d. 5

10. A bookseller sold 20 books for Rs.1750, thereby losing the cost price of 6 books. The percentage loss of the bookseller is

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

11. In 12 liters of diluted acid, the volumes of water: acid=1:5, some liters of acid are added so as to change the ratio to 1:8. The number of liters of acid added, is

a. 5   b. 6
c. 4   d. 3

12. The price of an article is reduced by 25%. Before reduction 12 articles could be purchased for Re.1. After reduction the number of articles that can be purchased for Re.1, is

a. 14  b. 15
c. 16  d. 18

13. The time taken by a boat in going from A to B and back to A is 5 hrs.20 m. If AB is 10 km. and speed of the current is 1 km. per hour, the speed of the boat in still water in km. per hour is

a. 3   b. 4
c. 5   d. 6

14. A number on being divided by 5 and 8 successively leaves remainders 3 and 7 respectively. The number on division by 40, leaves remainder

a. 23  b. 26
c. 38  d. 34

15. A sum of money amounts to Rs.1920 in 5 years and to Rs.2208 in 7 years. The rate per cent of simple interest per annum is

a. 9   b. 10
c. 11  d. 12

16. The least integral number exactly divisible by ½, ¾ and 5/6 is

a. 15  b. 12
c. 8   d. 6

17. Of the numbers 3, 4, 8, 9, 11 the factors of 45276 are

a. 3, 4, 9  b. 3, 4, 11
c. 3, 4, 8  d. 3, 8, 11

18. The least number which divides 8019 to make the result a perfect square, is

a. 9   b. 6
c. 13  d. 11

19. The sum of two numbers is 2490: 6.5% of one number is equal to 8.5% of the other. The large number is

a. 1411  b. 1412
c. 1410  d. 1417

20. The price of an article is increased by 30%. It will return to the original price by a reduction of

a. 33.15%  b. 23.07%
c. 26.08%  d. 30%

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

Math Set - 17

1. A is three times more efficient than B. Some work is completed by B in 12 days. The same work can be completed, when they work together, in

a. 3 days  b. 4 days
c. 2 days  d. 3.5 days

2. A is twice as old as B at present. 12 years ago he was six times as old. The present of A is

a. 25 years  b. 30 years
c. 24 years  d. 20 years

3. A tap can fill a cistern in 12 minutes, but due to a leak at the bottom of the cistern, it takes 3 minutes more to be filled up. If the tap is closed, the full cistern can be emptied through the leak in

a. 30 mins.  b. 40 mins
c. 60 mins   d. 45 mins

4. Rs.950 is divided amongst A, B, C. The shares of A and B are in the ratio of 2:3 and those of B and C in the ratio of 3: 5. B gets

a. Rs.190  b. Rs.475
c. Rs.285  d. Rs.150

5. A reduction of Rs.20 in the sale price of an article changes a profit of 12.5% to loss of 12.5%. The cost price of the article is

a. Rs.60  b. Rs.90
c. Rs.80  d. Rs.72

6. Telegraph posts are posted at equal distance to cover a distance of 1 km. The number of telegraph posts is 51. The distance between two consecutive posts, in meters, is equal to

a. 19  b. 20
c. 21  d. 19.5

7. The weight of copper and zinc in two alloys are in the ratio 5:3 and 1:7 respectively. Equal weights of the two alloys are melted together to form a third alloy. The ratio of copper and zinc in the third alloy is

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

8. In a certain year (not a leap-year), the first day of February was Monday. The first day of November of the same year was

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

9. Rebate at the rate of 15% is allowed when electricity bills are paid in time. A rebate of Rs.97.50 was allowed on a bill. The amount of the bill was

a. Rs.600  b. Rs.650
c. Rs.750  d. Rs.660

10. A number of workers in a factory receives Rs.13 per day, twice as many receives Rs.15 a day and thrice as many receives Rs.17 per day. The daily wage bill of the workers in the factory is Rs.1,410. The total number of workers in the factory is

a. 60  b. 70
c. 80  d. 90

11. The sides of two squares are 13cm. and 5cm. respectively. The third square has its area equal to the difference of the areas of the two given squares. The length of the side of the third square is

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

12. There are forty students in a class and the ratio of the number of boys to the number of girls in the class is 3:1. A number of girls is admitted into the class and the ratio of the number of boys to the number of girls changes to 3:2. The number of newly admitted girls is

a. 5   b. 12
c. 10  d. 15

13. The price of an article A is 16% more than that of a second article B. The difference of the prices of the articles is Rs.48. The price of A and B together amount to

a. Rs.348  b. Rs.300
c. Rs.564  d. Rs.648

14. A can do apiece of work in the same time in which B and C together can do it. The same work can be done by A and B together in 10 days and by C alone in 50 days. B can do the work in

a. 20 days  b. 25days
c. 30days   d. 18 days

15. A man was able to decrease the consumption of sugar by 25% when the piece of sugar is increased by 40%. The percentage increase or decrease in expenses on sugar is

a. increase 5%      b. decrease 5%
c. increase 10%     d. decrease 10%

16. The rate per cent per annum simple interest at which Rs.1200 amounts to Rs.1668 in six years, is

a. 12%   b. 9%
c. 6.5%  d. 7.5%

17. After traveling a distance of 120 km. on the second day, a man finds that the distances covered by him in the first two days are as 5:6. The distances covered by him on the first and the third day are as 4:5. On the third day the man travels

a. 100 km  b. 120 km
c. 80 km   d. 125 km

18. The time in which Rs.2000 invested at 5% simple interest per annum produces an income which is the same as that obtained by invest per annum for 5 years is

a. 6 years  b. 8 years
c. 5 years  d. 6.5 years

19. A man invested ¼ of his savings in company A, 1/5 of it in company B and the remaining Rs.2750 in company C. The amount invested in company A was

a. Rs.1000  b. Rs.1500
c. Rs.1250  d. Rs.1200

20. A sold an article to B at a profit of 20%, B sold the same article to C for Rs.75, thereby making a profit of 25%. A’s cost price of the article is

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

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

Math Set - 16

1. A trade marks his goods 25% above cost price, but allows a discount of 8% to his customer. His profit per cent is

a. 12.5  b. 15
c. 12    d. 17

2. A number is first increased by 10% and then decreased by 10%. The percentage change in the number is

a. Nil  b. increased by 1%
c. decreased by 1%
d. increased by 1.5%

3. A man spends in 4 months as much as he earns in 3 months. His annual savings is Rs.1,200. His annual earning is

a. Rs.4800  b. Rs.4428
c. Rs.4842  d. Rs.4284

4. The least number which divides 7623 to make it a perfect square is

a. 6   b. 7
c. 9   d. 3

5. Half the sum of two numbers is 20 and 3 times their difference is 18. The product of the two numbers is

a. 391  b. 319
c. 193  d. 360

6. 855/1881 reduced to its lowest terms is

a. 5/21  b. 11/12
c. 5/12  d. 5/11

7. The product and quotient of two numbers are 100 and 4 respectively. The sum of two numbers is

a. 21  b. 25
c. 20  d. 24

8. The least number subtracted from 293 to make the result a perfect square, is

a. 4   b. 1
c. 3   d. 2

9. A man paid 7.5% of his income in General Provident Fund and 13.5% to Insurance Premiums. For Insurance premiums he paid Rs.270. His total payment was

a. Rs.400  b. Rs.420
c. Rs.500  d. Rs.650

10. One train travels 448 km. in 8 hours and a second train travels 504 km. in 12 hours. The ratio of their average speed in km. per hour is

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

11. From a place a ship went 12 km. straight towards south and then moved 5 km. straight towards east. The distance of the ship now, as seen from the starting place, is

a. 17 km.  b. 13 km.
c. 7 km.   d. 10 km.

12. The number of days constituting the first four months of the year 1900 A.D. was

a. 119  b. 120
c. 121  d. 122

13. The number of prime numbers between 70 and 90 is

a. 7   b. 6
c. 5   d. 8

14. The least integer added to 89 multiplied by 95 to make in a perfect square is

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

15. Three numbers are in the ratio of 3:4:6 and their H.C.F. is 12. The L.C.M. of the three numbers is

a. 72   b. 96
c. 192  d. 144

16. If the cost of fencing a square field at Rs.5.50 per meter is Rs.220, the cost of paving of the field at Rs.7 per square meter, is

a. Rs.400  b. Rs.800
c. Rs.700  d. Rs.640

17. The smallest number which when divided by 20, 42 or 63 leaves a remainder 11 in each case is

a. 1260  b. 1271
c. 1270  d. 1259

18. A container full of water weights 28 kg. When halfful it weights 18 kg. The weight of the container is

a. 18 kg.  b. 20 kg.
c. 8 kg.   d. 12 kg.

19. 12% of the cattle of a village died in a flood and 5% of the remainder died subsequently of malnutrition. If 8,360 cattle survive, the number of cattle the village originally had, was

a. 7500   b. 10,000
c. 5,000  d. 12,000

20. 82*081 is divided by 11. The * marked digit is

a. 3   b. 5
c. 2   d. 9

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