Quantitative Aptitude Questions for SSC CPO

Quantitative Aptitude Questions with answers and Solutions for SSC CPO- SI in CPMF Exam. Maths MCQs Mock Test for free online practice of SI CAPF Exam.

Practice Set : Mathematics (Quantitative Aptitude)
Questions : 50
Medium : English
Level : SSC CPO SI Exam
All Type and topic MCQs – Solved by short tricks
Immediate display of Answer and Solution
New Practice of 50 Questions in every attempt

Results

#1. Three numbers are in the ratio 2 : 3 : 4 and their HCF is 12. The L.C.M of the numbers is

144

192

Let the numbers be 2x, 3x and 4x respectively.
HCF = x = 12
Numbers are : 2 ×12 = 24
3 ×12 = 36, 4 ×12 = 48
LCM of 24, 36, 48
= 2 × 2 × 2 × 3 × 3 × 2 = 144

#2. $\frac{5\frac{9}{14}}{5+\frac3{3+\frac1{\frac35}}}$ is equal to

1.5

2.5

#3. If the ratio of cost price to selling price is 10: 11, then the rate of percent of profit is

1.1 %

0.1%

10 %

1 %

#4. A retailer buys a radio for Rs 225. His overhead expenses are Rs 15. He sells the radio for Rs 300. The profit per cent of the retailer is :

25 %

$26\frac23$ %

20 %

$33\frac13$ %

#5. The marked price of a radio is Rs 4800. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, his gain per cent will be :

18 %

20 %

22 %

25 %

#6. Of the three numbers, the first number is twice the second and the second is thrice the third number. If the average of these 3 numbers is 20, then the sum of the largest and the smallest numbers is :

#7. If $(125)^{2/3}\times (625)^{1/4} = 5^{x}$ , then the value of x is

#8. The sum of a pair of positive integer is 336 and their HCF is 21.The number of such possible pairs is

#9. The average of the largest and smallest 3 digit numbers formed by 0, 2 and 4 would be

312

213

222

303

#10. The greatest number, by which 1657 and 2037 are divided to give remainders 6 and 5 respectively, is

127

133

235

305

The largest number which when divide the numbers a, b and c give remainders as p, q, r respectively is given by HCF of (a – p), (b – q) and (c – r)
Required number
We have to find HCF of
(1657 – 6 = 1651) and (2037 – 5 = 2032)
1651 = 13 × 127, 2032 = 16 × 127
HCF = 127 So, required number will be 127

#11. The digit in unit’s place of the number (1570)² + (1571)² + (1572)² + (1573)² is :

#12. Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is filled in 50 minutes. In how much time the third pipe alone can empty the cistern?

110 minutes

100 minutes

120 minutes

90 minutes

#13. A’s salary is 50% more than that of B. How much per cent is B’s salary less than that of A?

50%

$33\frac{1}{3}$

45%

$66\frac{2}{3}$

#14. . A train is running at 36 km/hr. If it crosses a pole in 25 seconds, then its length is :

248 m

250 m

255 m

260 m

#15. The greatest number, which when divide 989 and 1327 leave remainders 5 and 7 respectively, is :

The largest number which when divide the numbers a, b and c give remainders as p, q, r respectively is given by H.C.F. of (a – p), (b – q) and (c – r)
Required number
= HCF of (989 – 5) and (1327 – 7)
= HCF of 984 and 1320 = 24
HCF = 24

#16. A supply of juice lasts for 35 days. If its use is increased by 40%, then the number of days would the same amount of juice lasts is :

25 days

30 days

24 days

27 days

#17. A train of length 120 m long, takes 6 seconds to pass a telegraph post, the speed of train is :

72 km/hr

62 km/hr

55 km/hr

85 km/hr

#18. A bicycle, marked at Rs 2,000 is sold with two successive discounts of 20% and 10%. An additional discount of 5% is offered for cash payment. The selling price of the bicycle at cash payment is :

Rs 1368

Rs 1468

Rs 1568

Rs 1668

#19. In a class there are 30 boys and their average age is 17 years. When on one boy aged 18 years leaving the class and another joining, the average age becomes 16.9 years. The age of new boy is :

25 years

11 years

13 years

15 years

#20. Find the least multiple of 23, which when divided by 18, 21 and 24 leaves the remainder 7, 10 and 13 respectively.

3013

3024

3002

3036

LCM of 18, 21 and 24
LCM = 2 × 3 × 3 × 7 × 4 = 504
Now compare the divisors with their respective remainders. We observe that in all the cases the remainder is just 11 less than their respective divisor. So the number can be given by 504 K – 11 Where K is a positive integer
Since 23 × 21 = 483
We can write 504 K – 11
= (483 21) K – 11, = 483 K (21K – 11)
483 K is multiple of 23, since 483 is divisible by 23.
So, for (504K – 11) to be multiple of 23, the remainder (21K – 11) must be divisible by 23.
Put the value of K = 1, 2, 3, 4, 5,6, ….. and so on successively.
We find that the minimum value of K for which (21K – 11) is divisible by 23. is 6, (21 × 6 – 11)
= 115 which is divisible by 23.
Therefore, the required least number
= 504 × 6 – 11 = 3013

#21. A cricket player after playing 10 tests scored 100 runs in the 11th test. As a result, the average of his runs is increased by 5. The present average of runs is :

#22. Two trains start at the same time from Aligarh and Delhi and proceed towards each other at the rate of 14 km and 21 km per hour respectively. When they meet, it is found that one train has travelled 70 km more than the other. The distance between the two stations is :

350 km

210 km

300 km

140 km

#23. By selling an article for Rs 102, there is a loss of 15%, when the article is sold for Rs 134.40. The net result in the transaction is

12 % gain

12 % loss

10 % loss

15 % gain

#24. The average of six numbers is 32. If each of the first three numbers is increased by 2 and each of the remaining three numbers is decreased by 4, then the new average is :

#25. The difference between compound and simple interest on a certain sum for 3 years at 5% per annum is Rs 122. The sum is :

Rs 16000

Rs 15000

Rs 12000

Rs 10000

#26. Nita blends two varieties of tea one costing Rs 180 per kg and another costing Rs 200 per kg in the ratio 5 : 3. If she sells the blended variety at Rs 210 per kg, then her gain percent is :

10 %

11 %

12 %

13 %

#27. Pipe A can fill an empty tank in 6 hours and pipe B in 8 hours. If both the pipes are opened and after 2 hours pipe A is closed, how much time B will take to fill the remaining tank?

$7\frac{1}{2}$ hours

$2\frac{2}{5}$ hours

$2\frac{1}{3}$ hours

$3\frac{1}{3}$ hours

#28. The simplified value of $(0.2)^3\times 200 \div 2000\: \text{of} \:(0.2)^2$ is

$\frac{1}{100}$

$\frac{1}{50}$

$\frac{1}{10}$

#29. If the difference between the compound interest and simple interest on a sum at 5% rate of interest per annum for three years is Rs 36.60, then the sum is :

Rs 8000

Rs 8400

Rs 4400

Rs 4800

#30. By how much does $5\sqrt7-2\sqrt5$ exceed $3\sqrt7-4\sqrt5$ ?

5$(\sqrt7 + \sqrt5$)

$\sqrt7 + \sqrt5$

2$(\sqrt7 + \sqrt5$)

7$(\sqrt7 + \sqrt5$)

#31. On selling an article for Rs 105 a trader loses 9%. To gain 30% he should sell the article at

Rs 126

Rs 144

Rs 150

Rs 139

#32. Divide 50 into two parts so that the sum of their reciprocals is $\frac{1}{12}$

35,15

20,30

24,36

28,22

#33. A box contains 280 coins of denomination carrying 1 rupee, 50 paise and 25 paise. The values of each kind of the coins are in the ratio of 8 : 4 : 3. Then the number of 50 paise coins is :

#34. The least number which must be added to 1728 to make it a perfect square is :

#35. A sum of money at simple interest triples itself in 15 years. It will become 5 times of itself in :

40 years

36 years

30 years

25 years

#36. A man is walking at a speed of 10 kmph. After every km, he takes a rest for 5 minutes. How much time will he take to cover a distance of 5 km?

60 minutes

50 minutes

40 minutes

70 minutes

#37. The average of 30 numbers is 12. The average of the first 20 of them is 11 and that of the next 9 is 10. The last number is :

Explanation: Last number :

= 30 × 12-20 × 11 − 9 × 10
= 360 − 220 − 90
= 360 − 310 = 50

#38. A number is first decreased by 20%. The decreased number is then increased by 20%. The resulting number is less than the original number by 20. Then the original number is

200

400

500

600

#39. Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, then they are in the ratio 12 : 23. Find the smaller number.

#40. Two numbers are in ratio 5 : 8. If their difference is 48, then the smaller number is :

128

#41. The ratio of monthly incomes of A and B is 6 : 5 and their monthly expenditures are in the ratio 4 : 3. If each of them saves Rs. 400 per month, then find the sum of their monthly incomes.

2300

2400

2200

2500

#42. When $(\frac12-\frac14+\frac15-\frac16$ ) is divided by $(\frac25-\frac59+\frac35-\frac{7}{18}$ ), the result is

$5\frac{1}{10}$

$2\frac{1}{18}$

$3\frac{1}{6}$

$3\frac{3}{10}$

#43. If A and B are in the ratio 4 : 5 and the difference of their squares is 81, what is the value of A?

#44. Rs 500 was invested at 12% per annum simple interest and a certain sum of money is invested at 10% per annum simple interest. If the sum of the interest on both the sum after 4 years is Rs 480, the latter sum of money is :

Rs 450

Rs 750

Rs 600

Rs 550

#45. A table with marked price Rs 1200 was sold to a customer for Rs 1100. Find the rate of discount allowed on the table.

9 %

$8\frac13$%

$9\frac13$%

10 %

#46. The compound interest on Rs 30000 at 7% per annum for a certain time is Rs 4347. The time is :

3 years

4 years

2 years

2.5 years

#47. A bus moving at 40 km per hour covers a distance in 6 hours 15 minutes. If it travels the same distance at 50 km per hour then how long will it take to cover the distance?

2 hours

6 hours

4 hours

5 hours

#48. The wrong number of the sequence 4, 9, 19, 39, 79, 169, 319 is :

169

#49. If the ratio of principal and the simple interest for 5 years is 10 : 3, then the rate of interest is :

5 %

6 %

8 %

3 %

#50. Find out the wrong number in the sequence 169, 144, 121, 100, 82, 64, 49

144

FINISH

Results

#1. Three numbers are in the ratio 2 : 3 : 4 and their HCF is 12. The L.C.M of the numbers is

#2. is equal to

#3. If the ratio of cost price to selling price is 10: 11, then the rate of percent of profit is

#4. A retailer buys a radio for Rs 225. His overhead expenses are Rs 15. He sells the radio for Rs 300. The profit per cent of the retailer is :

#5. The marked price of a radio is Rs 4800. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, his gain per cent will be :

#6. Of the three numbers, the first number is twice the second and the second is thrice the third number. If the average of these 3 numbers is 20, then the sum of the largest and the smallest numbers is :

#7. If , then the value of x is

#8. The sum of a pair of positive integer is 336 and their HCF is 21.The number of such possible pairs is

#9. The average of the largest and smallest 3 digit numbers formed by 0, 2 and 4 would be

#10. The greatest number, by which 1657 and 2037 are divided to give remainders 6 and 5 respectively, is

#11. The digit in unit’s place of the number (1570)2 + (1571)2 + (1572)2 + (1573)2 is :

#13. A’s salary is 50% more than that of B. How much per cent is B’s salary less than that of A?

#14. . A train is running at 36 km/hr. If it crosses a pole in 25 seconds, then its length is :

#15. The greatest number, which when divide 989 and 1327 leave remainders 5 and 7 respectively, is :

#16. A supply of juice lasts for 35 days. If its use is increased by 40%, then the number of days would the same amount of juice lasts is :

#17. A train of length 120 m long, takes 6 seconds to pass a telegraph post, the speed of train is :

#18. A bicycle, marked at Rs 2,000 is sold with two successive discounts of 20% and 10%. An additional discount of 5% is offered for cash payment. The selling price of the bicycle at cash payment is :

#19. In a class there are 30 boys and their average age is 17 years. When on one boy aged 18 years leaving the class and another joining, the average age becomes 16.9 years. The age of new boy is :

#20. Find the least multiple of 23, which when divided by 18, 21 and 24 leaves the remainder 7, 10 and 13 respectively.

#21. A cricket player after playing 10 tests scored 100 runs in the 11th test. As a result, the average of his runs is increased by 5. The present average of runs is :

#22. Two trains start at the same time from Aligarh and Delhi and proceed towards each other at the rate of 14 km and 21 km per hour respectively. When they meet, it is found that one train has travelled 70 km more than the other. The distance between the two stations is :

#23. By selling an article for Rs 102, there is a loss of 15%, when the article is sold for Rs 134.40. The net result in the transaction is

#24. The average of six numbers is 32. If each of the first three numbers is increased by 2 and each of the remaining three numbers is decreased by 4, then the new average is :

#25. The difference between compound and simple interest on a certain sum for 3 years at 5% per annum is Rs 122. The sum is :

#26. Nita blends two varieties of tea one costing Rs 180 per kg and another costing Rs 200 per kg in the ratio 5 : 3. If she sells the blended variety at Rs 210 per kg, then her gain percent is :

#27. Pipe A can fill an empty tank in 6 hours and pipe B in 8 hours. If both the pipes are opened and after 2 hours pipe A is closed, how much time B will take to fill the remaining tank?

#28. The simplified value of is

#29. If the difference between the compound interest and simple interest on a sum at 5% rate of interest per annum for three years is Rs 36.60, then the sum is :

#30. By how much does exceed ?

#31. On selling an article for Rs 105 a trader loses 9%. To gain 30% he should sell the article at

#32. Divide 50 into two parts so that the sum of their reciprocals is

#33. A box contains 280 coins of denomination carrying 1 rupee, 50 paise and 25 paise. The values of each kind of the coins are in the ratio of 8 : 4 : 3. Then the number of 50 paise coins is :

#34. The least number which must be added to 1728 to make it a perfect square is :

#35. A sum of money at simple interest triples itself in 15 years. It will become 5 times of itself in :

#36. A man is walking at a speed of 10 kmph. After every km, he takes a rest for 5 minutes. How much time will he take to cover a distance of 5 km?

#37. The average of 30 numbers is 12. The average of the first 20 of them is 11 and that of the next 9 is 10. The last number is :

#38. A number is first decreased by 20%. The decreased number is then increased by 20%. The resulting number is less than the original number by 20. Then the original number is

#39. Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, then they are in the ratio 12 : 23. Find the smaller number.

#40. Two numbers are in ratio 5 : 8. If their difference is 48, then the smaller number is :

#41. The ratio of monthly incomes of A and B is 6 : 5 and their monthly expenditures are in the ratio 4 : 3. If each of them saves Rs. 400 per month, then find the sum of their monthly incomes.

#42. When) is divided by ), the result is

#43. If A and B are in the ratio 4 : 5 and the difference of their squares is 81, what is the value of A?

#44. Rs 500 was invested at 12% per annum simple interest and a certain sum of money is invested at 10% per annum simple interest. If the sum of the interest on both the sum after 4 years is Rs 480, the latter sum of money is :

#45. A table with marked price Rs 1200 was sold to a customer for Rs 1100. Find the rate of discount allowed on the table.

#46. The compound interest on Rs 30000 at 7% per annum for a certain time is Rs 4347. The time is :

#47. A bus moving at 40 km per hour covers a distance in 6 hours 15 minutes. If it travels the same distance at 50 km per hour then how long will it take to cover the distance?

#48. The wrong number of the sequence 4, 9, 19, 39, 79, 169, 319 is :

#49. If the ratio of principal and the simple interest for 5 years is 10 : 3, then the rate of interest is :

#50. Find out the wrong number in the sequence 169, 144, 121, 100, 82, 64, 49

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#2. $\frac{5\frac{9}{14}}{5+\frac3{3+\frac1{\frac35}}}$ is equal to

#7. If $(125)^{2/3}\times (625)^{1/4} = 5^{x}$ , then the value of x is

#11. The digit in unit’s place of the number (1570)² + (1571)² + (1572)² + (1573)² is :

#28. The simplified value of $(0.2)^3\times 200 \div 2000\: \text{of} \:(0.2)^2$ is

#30. By how much does $5\sqrt7-2\sqrt5$ exceed $3\sqrt7-4\sqrt5$ ?

#32. Divide 50 into two parts so that the sum of their reciprocals is $\frac{1}{12}$

#42. When $(\frac12-\frac14+\frac15-\frac16$ ) is divided by $(\frac25-\frac59+\frac35-\frac{7}{18}$ ), the result is