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. If the ratio of two numbers is 2 : 3 and their LCM is 54, then the sum of the two numbers is

270

Let the two numbers are 2x and 3x respectively.
According to question,
LCM = 54
x (3×2)=54
x = 9
Numbers = 2x = 2 × 9 = 18 and 3x = 3 × 9 = 27
Sum of the two numbers
= 18 27 = 45

#2. The value of ${3 +\frac{3}{3+\frac{1}{3+\frac{1}{3}}}}$ is

$\frac{40}{11}$

$\frac{43}{11}$

$\frac{46}{11}$

$\frac{41}{11}$

#3. If 20% of A = 50% of B, then what per cent of A is B?

30 %

40 %

25 %

15 %

#4. 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

#5. A and B together can do a piece of work in 6 days. If A can alone do the work in 18 days, then the number of days required for B to finish the work is :

#6. A man bought a watch for 10% discount. If had bought for 20% discount he would have got the watch for Rs 125 less. The marked price of the watch is :

Rs 2500

Rs 1250

Rs 3750

Rs 1000

#7. The smallest among $\sqrt[6]{12},\sqrt[3]4,\sqrt[4]5,\sqrt3$ is

$\sqrt[6]{12}$

$\sqrt[3]4$

$\sqrt3$

$\sqrt[4]5$

#8. $\sqrt[3]{(333)^3+(333)^3+(334)^3 -3\times333\times333\times334}$ is equal to

#9. A sells a cycle to B at a profit of 20% and B sells it to C at a loss of 25%. If C bought the cycle for Rs. P, then the cost price of it for A was :

$Rs\frac{1}{20}$P

$Rs\frac{9}{10}$P

$Rs\frac{9}{20}$P

$Rs\frac{10}{9}$P

#10. The sum of the HCF and LCM of two numbers is 680 and the LCM is 84 times the HCF If one of the number is 56, the other is :

#11. The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. The weight of the new person is :

84 kg

85 kg

77 kg

76.kg

#12. If a, b, c are three numbers such that a : b = 3 : 4 and b : c = 8 : 9, then a : c is equal to

1 :3

2 : 3

3 : 2

1 : 2

#13. The value of $3\frac12 -[2\frac14+ \{{1\frac14-\frac12(1\frac12-\frac13-\frac16)}\}]$ is

$\frac12$

$2\frac12$

$3\frac12$

$9\frac12$

#14. If X = $(0.25)^{\frac12}$ , Y = $(0.4)^2$ , Z = $(0.216)^{\frac13}$ , then

Y>X>Z

X>Y>Z

Z>X>Y

X>Z>Y

#15. The value of $\frac{(3.2)^3-0.008}{(3.2)^2 + 0.64 +0.04}$ is

2.994

3.208

#16. $\sqrt{{3}+\sqrt{{3}+\sqrt{{3}+}}}$ …….. is equal to

$\sqrt3$

$2\sqrt3$

$3\sqrt3$

#17. A pipe can fill a tank in ‘x’ hours and another pipe can empty it in ‘y’ (y > x) hours. If both the pipes are open, in how many hours will the tank be filled?

(x – y) hours

(y – x) hours

$\frac{xy}{x-y}$ hours

$\frac{xy}{y-x}$ hours

#18. A man loses Rs 55.50 yearly when the annual rate of interest falls from 11.5% to 10%. His capital (in rupees) is :

Rs 3700

Rs 7400

Rs 8325

Rs 11100

#19. A shopkeeper sells an article at 15% gain. Had he sold it for Rs 18 more, he would have gained 18%. The cost price (in Rs) of the article is

540

318

600

350

#20. The sum 5 + 6 + 7 + 8 + … + 19 is equal to

150

170

180

190

#21. 31% of employees pay tax in the year 2008. The number of non-tax paying employees are 20,700. The total number of employees is :

31,160

64750

30,000

66,775

#22. The total number of prime factors in $4^{10}\times{7}^3\times{16}^2\times11\times{10}^2$ is

#23. Two numbers are in the ratio 3 : 4. Their LCM is 84. The greater number is

#24. By selling a tape-recorder for Rs 1040 a man gains 4%. If he sells for Rs 950, then his loss will be :

5 %

4 %

4.5 %

9 %

#25. 2 men and 1 woman together can complete a piece of work in 14 days, while 4 women and 2 men together can do it in 8 days. If a man gets Rs 600 per day, how much should a woman get per day?

Rs 400

Rs 450

Rs 480

Rs 360

#26. 15 litres of a mixture contains alcohol and water in the ratio 1 : 4. If 3 litres of water is mixed in it, the percentage of alcohol in the new mixture will be

15 %

$16\frac{2}{3}$ %

17%

$18\frac{1}{2}$ %

#27. A person can row a distance of one km upstream in ten minutes and downstream in four minutes. What is the speed of the stream?

4.5 km/h

4 km/h

9 km/h

5.6 km/h

#28. A boat goes 20 km downstream in one hour and the same distance upstream in two hours. The speed of the boat in still water is :

15 km/hr

10 km/hr

5 km/hr

7.5 km/hr

#29. . If x : y = 3 : 4, then 4x + 5y : 5x− 2y = ?

7 :32

32 : 7

4 : 3

5 : 2

#30. A sum of money placed at compound interest doubles itself in 4 years. In how many years will it amount to four times itself ?

12 years

13 years

8 years

16 years

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

#32. $\frac{4.41\times0.16}{2.1\times 1.6 \times 0.21}$ is simplified to

0.01

0.1

0.01

#33. The difference between the value of the number increased by 20% and the value of the number decreased by 25% is 36. Find the number :

7.2

0.5

720

#34. The average age of a cricket team of 11 players is the same as it was 3 years back because 3 of the players whose current average age of 33 years were replaced by 3 youngsters. The average age of the newcomers is :

23 years

21 years

22 years

20 years

#35. A train passes an electrical pole in 20 seconds and passes a platform of length 250 m in 45 seconds. Find the length of the train .

400 m

200 m

300 m

250m

#36. A train passes two bridges of lengths 500 m and 250 m in 100 seconds and 60 seconds respectively. The length of the train is :

152 m

125 m

250 m

120 m

#37. If A and B together can finish a piece of work in 20 days, B and C in 10 days and C and A in 12 days, then A, B and C jointly can finish the same work in :

$4\frac27$ days

30 day

$8\frac47$ days

$\frac{7}{60}$ days

#38. A and B can complete a piece of work in 8 days, B and C can do it in 12 days, C and A can do it in 8 days. A, B and C together can complete it in :

4 days

5 days

6 days

7 days

#39. the simplified value of $\sqrt{{5}+\sqrt{{11}+\sqrt{{19}+\sqrt{{29}+\sqrt{49}}}}}$ is

#40. A and B can together finish a work in 30 days. They worked at it for 20 days and then B left. The remaining work was done by A alone in 20 more days A alone can finish the work in :

60 days

54 days

48 days

50 days

#41. A sum of Rs 400 amounts to Rs 480 in 4 years. What will it amount to if the rate of interest is increased by 2%?

Rs 484

Rs 560

Rs 512

None of these

#42. If $\sqrt7 = 2.646$ , then the value of $\frac{1}{\sqrt{28}}$ up to three places of decimals is :

0.183

0.185

0.187

0.189

#43. A person can row $7\frac12$ km an hour in still water and he finds that it takes him twice as long to row up as to row down the river. The speed of the stream is :

2 km/hr

3 km/hr

$2\frac12$ km/hr

$3\frac12$ km/hr

#44. A bag contains Rs. 90 coins in the denominations of 50 paise, 25 paise and 10 paise. If coins of 50 paise, 25 paise and 10 paise are in the ratio of 2 : 3 : 5, then the number of 25 paise coins in the bag is

120

100

135

#45. 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

#46. Three men can complete a piece of work in 6 days. Two days after they started the work, 3 more men joined them. How many days will they take to complete the remaining work?

1 days

2 days

3 days

4 days

#47. The total discount on Rs 1860 due after a certain time at 5% is Rs 60. Find the time after which it is due :

9 months

8 months

7 months

10 months

#48. The simplification of $\frac18+\frac{1}{8^2}+\frac{1}{8^3}+\frac{1}{8^4}+\frac{1}{8^5}$ up to three places of decimals yields

0.143

0.163

0.215

0.715

#49. The state electricity board gives 15% discount on electric bills if it is paid before due date. One person gets Rs 54 as discount. The amount of actual bill was :

Rs 362

Rs 359

Rs 360

Rs 361

#50. 16 men are able to complete a piece of work in 12 days working 14 hours a day. How long will 28 men, working 12 hours a day, take to complete the work?

10 days

7 days

8 days

6 days

FINISH

Results

#1. If the ratio of two numbers is 2 : 3 and their LCM is 54, then the sum of the two numbers is

#2. The value of is

#3. If 20% of A = 50% of B, then what per cent of A is B?

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

#5. A and B together can do a piece of work in 6 days. If A can alone do the work in 18 days, then the number of days required for B to finish the work is :

#6. A man bought a watch for 10% discount. If had bought for 20% discount he would have got the watch for Rs 125 less. The marked price of the watch is :

#7. The smallest among is

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#8. is equal to

#9. A sells a cycle to B at a profit of 20% and B sells it to C at a loss of 25%. If C bought the cycle for Rs. P, then the cost price of it for A was :

#10. The sum of the HCF and LCM of two numbers is 680 and the LCM is 84 times the HCF If one of the number is 56, the other is :

#11. The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. The weight of the new person is :

#12. If a, b, c are three numbers such that a : b = 3 : 4 and b : c = 8 : 9, then a : c is equal to

#13. The value of is

#14. If X = , Y = , Z =, then

#15. The value of is

#16. …….. is equal to

#17. A pipe can fill a tank in ‘x’ hours and another pipe can empty it in ‘y’ (y > x) hours. If both the pipes are open, in how many hours will the tank be filled?

#18. A man loses Rs 55.50 yearly when the annual rate of interest falls from 11.5% to 10%. His capital (in rupees) is :

#19. A shopkeeper sells an article at 15% gain. Had he sold it for Rs 18 more, he would have gained 18%. The cost price (in Rs) of the article is

#20. The sum 5 + 6 + 7 + 8 + … + 19 is equal to

#21. 31% of employees pay tax in the year 2008. The number of non-tax paying employees are 20,700. The total number of employees is :

#22. The total number of prime factors in is

#23. Two numbers are in the ratio 3 : 4. Their LCM is 84. The greater number is

#24. By selling a tape-recorder for Rs 1040 a man gains 4%. If he sells for Rs 950, then his loss will be :

#25. 2 men and 1 woman together can complete a piece of work in 14 days, while 4 women and 2 men together can do it in 8 days. If a man gets Rs 600 per day, how much should a woman get per day?

#26. 15 litres of a mixture contains alcohol and water in the ratio 1 : 4. If 3 litres of water is mixed in it, the percentage of alcohol in the new mixture will be

#27. A person can row a distance of one km upstream in ten minutes and downstream in four minutes. What is the speed of the stream?

#28. A boat goes 20 km downstream in one hour and the same distance upstream in two hours. The speed of the boat in still water is :

#29. . If x : y = 3 : 4, then 4x + 5y : 5x− 2y = ?

#30. A sum of money placed at compound interest doubles itself in 4 years. In how many years will it amount to four times itself ?

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

#32. is simplified to

#33. The difference between the value of the number increased by 20% and the value of the number decreased by 25% is 36. Find the number :

#34. The average age of a cricket team of 11 players is the same as it was 3 years back because 3 of the players whose current average age of 33 years were replaced by 3 youngsters. The average age of the newcomers is :

#35. A train passes an electrical pole in 20 seconds and passes a platform of length 250 m in 45 seconds. Find the length of the train .

#36. A train passes two bridges of lengths 500 m and 250 m in 100 seconds and 60 seconds respectively. The length of the train is :

#37. If A and B together can finish a piece of work in 20 days, B and C in 10 days and C and A in 12 days, then A, B and C jointly can finish the same work in :

#38. A and B can complete a piece of work in 8 days, B and C can do it in 12 days, C and A can do it in 8 days. A, B and C together can complete it in :

#39. the simplified value of is

#40. A and B can together finish a work in 30 days. They worked at it for 20 days and then B left. The remaining work was done by A alone in 20 more days A alone can finish the work in :

#41. A sum of Rs 400 amounts to Rs 480 in 4 years. What will it amount to if the rate of interest is increased by 2%?

#42. If , then the value of up to three places of decimals is :

#43. A person can row km an hour in still water and he finds that it takes him twice as long to row up as to row down the river. The speed of the stream is :

#44. A bag contains Rs. 90 coins in the denominations of 50 paise, 25 paise and 10 paise. If coins of 50 paise, 25 paise and 10 paise are in the ratio of 2 : 3 : 5, then the number of 25 paise coins in the bag is

#45. 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 :

#46. Three men can complete a piece of work in 6 days. Two days after they started the work, 3 more men joined them. How many days will they take to complete the remaining work?

#47. The total discount on Rs 1860 due after a certain time at 5% is Rs 60. Find the time after which it is due :

#48. The simplification of up to three places of decimals yields

#49. The state electricity board gives 15% discount on electric bills if it is paid before due date. One person gets Rs 54 as discount. The amount of actual bill was :

#50. 16 men are able to complete a piece of work in 12 days working 14 hours a day. How long will 28 men, working 12 hours a day, take to complete the work?

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#2. The value of ${3 +\frac{3}{3+\frac{1}{3+\frac{1}{3}}}}$ is

#7. The smallest among $\sqrt[6]{12},\sqrt[3]4,\sqrt[4]5,\sqrt3$ is

#8. $\sqrt[3]{(333)^3+(333)^3+(334)^3 -3\times333\times333\times334}$ is equal to

#13. The value of $3\frac12 -[2\frac14+ \{{1\frac14-\frac12(1\frac12-\frac13-\frac16)}\}]$ is

#14. If X = $(0.25)^{\frac12}$ , Y = $(0.4)^2$ , Z = $(0.216)^{\frac13}$ , then

#15. The value of $\frac{(3.2)^3-0.008}{(3.2)^2 + 0.64 +0.04}$ is

#16. $\sqrt{{3}+\sqrt{{3}+\sqrt{{3}+}}}$ …….. is equal to

#22. The total number of prime factors in $4^{10}\times{7}^3\times{16}^2\times11\times{10}^2$ is

#32. $\frac{4.41\times0.16}{2.1\times 1.6 \times 0.21}$ is simplified to

#39. the simplified value of $\sqrt{{5}+\sqrt{{11}+\sqrt{{19}+\sqrt{{29}+\sqrt{49}}}}}$ is

#42. If $\sqrt7 = 2.646$ , then the value of $\frac{1}{\sqrt{28}}$ up to three places of decimals is :

#43. A person can row $7\frac12$ km an hour in still water and he finds that it takes him twice as long to row up as to row down the river. The speed of the stream is :

#48. The simplification of $\frac18+\frac{1}{8^2}+\frac{1}{8^3}+\frac{1}{8^4}+\frac{1}{8^5}$ up to three places of decimals yields