SSC CPO Quantitative Aptitude Questions

SSC CPO Quantitative Aptitude Questions with answers and Solutions. 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. A man bought an old type writer for Rs 1200 and spent Rs 200 on its repair. He sold it for Rs 1680. His profit per cent is :

20 %

10 %

8 %

16 %

#2. Mohan lends Rs 500 to John and a certain sum to Tom at the same time at a simple interest of 8% per annum. If in 4 years, he altogether receives Rs 210 as interest from the two, then the sum of money he lent to Tom was

Rs 144.75

Rs 148

Rs 156.25

Rs 165.50

#3. The average of all the odd integers between 2 and 22 is :

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

$5\frac{1}{10}$

$2\frac{1}{18}$

$3\frac{1}{6}$

$3\frac{3}{10}$

#5. 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

#6. 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

#7. The least number, that must be added to 1720 so as to obtain a perfect cube is :

#8. If the cost price of 10 articles equals selling price of 9 articles, the gain or loss percent will be :

$11\frac19$% loss

$1\frac19$% loss

$1\frac19$% gain

$11\frac19$% gain

#9. A 200 metre long train is running at a speed of 72 km/hr. How long will it take to cross 800 metre long bridge?

50 seconds

40 seconds

60 seconds

30 seconds

#10. A man travelled a certain distance by train at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, then the distance was :

25 km

30 km

20 km

15 km

#11. If $2^{x-1} + 2^{x+1} =320$ then the value of x is :

#12. Of the three numbers, the second is twice the first and also thrice the third. If the average of the three numbers is 44, the largest number is

108

#13. Two trains X and Y start from Jodhpur to Jaipur and from Jaipur to Jodhpur respectively. After passing each other they take 4 hours 48 minutes and 3 hours 20 minutes to reach Jaipur and Jodhpur respectively. If X is moving at 45 km/hr, then the speed of Y is :

60 km/hr

58km/hr

54km/hr

64.8km/hr

#14. Out of seven given numbers, the average of the first four numbers is 4 and that of the last four numbers is also 4. If the average of all the seven numbers is 3, then the fourth number is :

#15. 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

#16. The list price of a clock is Rs 160. A customer buys it for Rs 122.40 after two successive discounts. If first discount is 10%, the second is ?

10 %

12 %

15 %

18 %

#17. An article is sold at a gain of 15%. Had it been sold for Rs 27 more, the profit would have been 20%. The cost price of the article is :

Rs. 500

Rs. 700

Rs. 540

Rs. 545

#18. Simple interest on Rs 500 for 4 years at 6.25% per annum is equal to the simple interest on Rs 400 at 5% per annum for a certain period of time. The period of time is :

4 years

5 years

$6\frac14$ years

$8\frac23$ years

#19. A man, a woman and a boy together finish a piece of work in 6 days. If a man and a woman can do the same work in 10 and 24 days respectively then the number of days taken by a boy to finish the work is :

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

$\sqrt[6]{12}$

$\sqrt[3]4$

$\sqrt3$

$\sqrt[4]5$

#21. A man goes downstream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the stream are 10 km/hr and 4 km/hr respectively, then the distance of the destination from the starting place is :

16 km

18 km

21 km

25 km

#22. Two places P and Q are 162 km apart. A train leaves P for Q and simultaneously another train leaves Q for P. They meet at the end of 6 hours. If the former train travels 8 km/hour faster than the other, then speed of train from Q is :

$12\frac 56$km/hours

$10\frac56$ km/hour

$9\frac12$ hours

$8\frac12$ km/hour

#23. Three glasses are filled with a mixture of acid and water in equal volume. The ratios of acid and water are 2 : 3, 3 : 4 and 4 : 5 respectively. The contents of these glasses are poured in a large vessel. The ratio of acid and water in the large vessel is :

411 : 540

401 : 544

417 :564

407 : 560

#24. 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

#25. If Rahim deposited the same amount of Rs x in a bank at the beginning of successive 3 years and the bank pays a simple interest of 5% per annum, then the amount at his credit at the end of 3rd year will be :

Rs $\frac{861x}{400}$

Rs $\frac{1261x}{400}$

Rs $\frac{21x}{20}$

Rs $\frac{26481x}{8000}$

#26. Sunil completes a work in 4 days, whereas Dinesh completes the work in 6 days. Ramesh works $1\frac1 2$ times as fast as Sunil. The three together can complete the work in :

$1\frac{5}{12}$ days

$1\frac57$ days

$1\frac38$ days

$1\frac{5}{19}$ days

#27. In a test a student got 30% marks and failed by 25 marks. In the same test another student got 40% marks and secured 25 marks more than the essential minimum pass marks. The maximum marks for the test were

400

480

500

580

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

30 %

40 %

25 %

15 %

#29. A shopkeeper sold his goods at half the list price and thus lost 20%. If he had sold on the listed price, his gain percentage would be.

60 %

20 %

72 %

35 %

#30. The next number of the sequence 51, 52, 56, 65 is

#31. Given that 1² + 2² + 3² + … + 10² = 385, the value of 2² + 4² + 6² + … + 20² is

770

1540

1155

3851

#32. Simplify: $\frac{0.41\times0.41\times0.41+0.69\times0.69\times0.69}{0.41\times0.41-0.41\times 0.69+0.69+0.69}$

0.28

1.1

2.8

#33. 4⁶¹+ 4⁶² + 4⁶³ + 4⁶⁴ is divisible by

#34. If a boat goes 100 km downstream in 10 hours and 75 km upstream in 15 hours, then the speed of the stream is :

2 km/hour

2.5 km/hour

3 km/hour

3.5 km/hour

#35. If x : y = 3 : 4 and y : z = 3 : 4, then $\frac {x+y+z} {3z}$ is equal to :

$\frac{13}{27}$

$\frac{1}{2}$

$\frac{73}{84}$

$\frac{37}{48}$

#36. 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

#37. A builder borrows Rs 2550 which is to be paid back with compound interest at the rate of 4% per annum by the end of 2 years in two equal yearly instalments. How much will each instalment be?

Rs 1352

Rs 1377

Rs 1275

Rs 1283

#38. A, B and C can do a piece of work in 24, 30 and 40 days respectively. They began the work together but C left 4 days before completion of the work. In how many days was the work done ?

#39. If the product of two positive numbers is 1575 and their ratio is 7 : 9, then the greatest number is :

135

#40. The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs is

Let the numbers be 12x and
12y where x and y are prime to
each other.
LCM = 12xy
12xy = 924
xy = 77
Possible pairs = (1,77) and (7,11)

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

1.5

2.5

#42. The HCF of two numbers is 8. Which one of the following can never be their LCM ?

HCF of two numbers is 8.This means 8 is a factor common to both the numbers. LCM is common multiple for the two numbers, it is divisible by the two numbers. So, the required answer = 60

#43. Two numbers are in the ratio 1 : 3 If their sum is 240, then their difference is :

120

108

100

#44. 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

#45. The ratio of cost price and selling price is 5 : 4, the loss percent is :

20 %

25 %

40 %

50 %

#46. If a = 4011 and b = 3989, then the value of ab = ?

15999879

15899879

15989979

15998879

#47. The simple interest on a sum after 4 years is $\frac15$ of the sum. The rate of interest per annum is :

4 %

5 %

6 %

8 %

#48. the value of 25 – 5 [2 + 3 (2 – 2 (5 – 3) + 5) – 10] ÷ 4 is

23.25

23.75

#49. If the mean of 4 observations is 20, when a constant ‘C’ is added to each observation, the mean becomes 22. The value of C is

-2

#50. A group of 75 men are employed to lay down a railway line in 3 months. Due to certain emergency conditions, the work was to be finished in 18 days. How many more men should be employed to complete the work in the desired time ?

300

325

350

375

FINISH

Results

#1. A man bought an old type writer for Rs 1200 and spent Rs 200 on its repair. He sold it for Rs 1680. His profit per cent is :

#2. Mohan lends Rs 500 to John and a certain sum to Tom at the same time at a simple interest of 8% per annum. If in 4 years, he altogether receives Rs 210 as interest from the two, then the sum of money he lent to Tom was

#3. The average of all the odd integers between 2 and 22 is :

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

#5. 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 :

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

#7. The least number, that must be added to 1720 so as to obtain a perfect cube is :

#8. If the cost price of 10 articles equals selling price of 9 articles, the gain or loss percent will be :

#9. A 200 metre long train is running at a speed of 72 km/hr. How long will it take to cross 800 metre long bridge?

#10. A man travelled a certain distance by train at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, then the distance was :

#11. If then the value of x is :

#12. Of the three numbers, the second is twice the first and also thrice the third. If the average of the three numbers is 44, the largest number is

#13. Two trains X and Y start from Jodhpur to Jaipur and from Jaipur to Jodhpur respectively. After passing each other they take 4 hours 48 minutes and 3 hours 20 minutes to reach Jaipur and Jodhpur respectively. If X is moving at 45 km/hr, then the speed of Y is :

#14. Out of seven given numbers, the average of the first four numbers is 4 and that of the last four numbers is also 4. If the average of all the seven numbers is 3, then the fourth number is :

#15. 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

#16. The list price of a clock is Rs 160. A customer buys it for Rs 122.40 after two successive discounts. If first discount is 10%, the second is ?

#17. An article is sold at a gain of 15%. Had it been sold for Rs 27 more, the profit would have been 20%. The cost price of the article is :

#18. Simple interest on Rs 500 for 4 years at 6.25% per annum is equal to the simple interest on Rs 400 at 5% per annum for a certain period of time. The period of time is :

#19. A man, a woman and a boy together finish a piece of work in 6 days. If a man and a woman can do the same work in 10 and 24 days respectively then the number of days taken by a boy to finish the work is :

#20. The smallest among is

#21. A man goes downstream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the stream are 10 km/hr and 4 km/hr respectively, then the distance of the destination from the starting place is :

#22. Two places P and Q are 162 km apart. A train leaves P for Q and simultaneously another train leaves Q for P. They meet at the end of 6 hours. If the former train travels 8 km/hour faster than the other, then speed of train from Q is :

#23. Three glasses are filled with a mixture of acid and water in equal volume. The ratios of acid and water are 2 : 3, 3 : 4 and 4 : 5 respectively. The contents of these glasses are poured in a large vessel. The ratio of acid and water in the large vessel is :

#24. 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 :

#25. If Rahim deposited the same amount of Rs x in a bank at the beginning of successive 3 years and the bank pays a simple interest of 5% per annum, then the amount at his credit at the end of 3rd year will be :

#26. Sunil completes a work in 4 days, whereas Dinesh completes the work in 6 days. Ramesh works times as fast as Sunil. The three together can complete the work in :

#27. In a test a student got 30% marks and failed by 25 marks. In the same test another student got 40% marks and secured 25 marks more than the essential minimum pass marks. The maximum marks for the test were

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

#29. A shopkeeper sold his goods at half the list price and thus lost 20%. If he had sold on the listed price, his gain percentage would be.

#30. The next number of the sequence 51, 52, 56, 65 is

#31. Given that 12 + 22 + 32 + … + 102 = 385, the value of 22 + 42 + 62 + … + 202 is

#32. Simplify:

#33. 461+ 462 + 463 + 464 is divisible by

#34. If a boat goes 100 km downstream in 10 hours and 75 km upstream in 15 hours, then the speed of the stream is :

#35. If x : y = 3 : 4 and y : z = 3 : 4, then is equal to :

#36. 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 :

#37. A builder borrows Rs 2550 which is to be paid back with compound interest at the rate of 4% per annum by the end of 2 years in two equal yearly instalments. How much will each instalment be?

#38. A, B and C can do a piece of work in 24, 30 and 40 days respectively. They began the work together but C left 4 days before completion of the work. In how many days was the work done ?

#39. If the product of two positive numbers is 1575 and their ratio is 7 : 9, then the greatest number is :

#40. The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs is

#41. is equal to

#42. The HCF of two numbers is 8. Which one of the following can never be their LCM ?

#43. Two numbers are in the ratio 1 : 3 If their sum is 240, then their difference is :

#44. 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 :

#45. The ratio of cost price and selling price is 5 : 4, the loss percent is :

#46. If a = 4011 and b = 3989, then the value of ab = ?

#47. The simple interest on a sum after 4 years is of the sum. The rate of interest per annum is :

#48. the value of 25 – 5 [2 + 3 (2 – 2 (5 – 3) + 5) – 10] ÷ 4 is

#49. If the mean of 4 observations is 20, when a constant ‘C’ is added to each observation, the mean becomes 22. The value of C is

#50. A group of 75 men are employed to lay down a railway line in 3 months. Due to certain emergency conditions, the work was to be finished in 18 days. How many more men should be employed to complete the work in the desired time ?

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

#6. 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

#11. If $2^{x-1} + 2^{x+1} =320$ then the value of x is :

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

#26. Sunil completes a work in 4 days, whereas Dinesh completes the work in 6 days. Ramesh works $1\frac1 2$ times as fast as Sunil. The three together can complete the work in :

#31. Given that 1² + 2² + 3² + … + 10² = 385, the value of 2² + 4² + 6² + … + 20² is

#32. Simplify: $\frac{0.41\times0.41\times0.41+0.69\times0.69\times0.69}{0.41\times0.41-0.41\times 0.69+0.69+0.69}$

#33. 4⁶¹+ 4⁶² + 4⁶³ + 4⁶⁴ is divisible by

#35. If x : y = 3 : 4 and y : z = 3 : 4, then $\frac {x+y+z} {3z}$ is equal to :

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

#47. The simple interest on a sum after 4 years is $\frac15$ of the sum. The rate of interest per annum is :