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. The ratio of two numbers is 3 : 4 and their LCM is 48. The sum of the two numbers is :

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

#3. The salary of a person is increased by 20%, then it is decreased by 20%. The change in his salary is :

4 % decreased

4 % increased

8% decreased

Neither decreases nor increases

#4. A certain number of men can do a work in 40 days. If there were 8 men more, it could be finished in 10 days less. How many men were there initially?

#5. 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

#6. The product of the LCM and the HCF of two numbers is 24. If the difference of the numbers is 2, then the greater of the number is

#7. 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

#8. If the selling price of 4 articles is equal to the cost price of 5 articles, the profit per cent is :

20 %

$22\frac12$%

25 %

30 %

#9. Two numbers are less than a third number by 30% and 37% respectively. How much per cent is the second number less than the first?

10 %

4 %

3 %

7 %

#10. There is a ratio of 5 : 4 between two numbers. If 40 per cent of the first is 12, then 50% of the second number is :

#11. 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

#12. The value of $ 0.65\times0.65 + 0.35\times 0.35 + 0.70 \times 0.65 $ is

1.75

1.00

1.65

1.55

#13. 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

#14. 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 %

#15. The sum of the squares of three consecutive natural numbers is 2030. Then, what is the middle number?

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

20 %

25 %

40 %

50 %

#17. 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 :

#18. The greatest among the following numbers $ (3)^\frac13, (2)^\frac12,1, (6)^\frac16 $ is

$(2)^\frac12$

$(6)^\frac16$

$(3)^\frac13$

#19. 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 $\frac{26481x}{8000}$

#20. $ \frac{3\sqrt{2}+2\sqrt{3}}{3\sqrt{2}-2\sqrt{3}} $ is equal to

$5 +2 \sqrt6$

$\frac{3+2\sqrt6}{2}$

5-2$\sqrt3$

5+2$\sqrt3$

#21. A sum of money is paid back in two annual instalments of Rs 17640 each, allowing 5% compound interest compounded annually. The sum borrowed was :

Rs 32800

Rs 32200

Rs 32000

Rs 32400

#22. 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

#23. In a school $ \frac{1}{10} $ of the boys are same in number as $ \frac14 $ of the girls and $ \frac58 $ of the girls are same in number as $ \frac14 $ of the boys. The ratio of the boys to girls in that school is :

2 : 1

5 : 2

4 : 3

3 : 2

#24. The average weight of the first 11 persons among 12 persons is 95 kg. The weight of 12th person is 33 kg more than the average weight of all the 12 persons. The weight of the 12th person is :

128.75 kg

128 kg

131 kg

97.45 kg

#25. The least number which when divided by 4, 6, 8, 12 and 16 leaves a remainder of 2 in each case is :

L.C.M. of 4, 6, 8, 12 and 16 = 48
Required number = 48 2 = 50

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

#27. The cost price of 36 books is equal to the selling price of 30 books. The gain percent is :

20 %

$16\frac46$%

18 %

$82\frac26$ %

#28. 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

#29. The next number of the sequence 2, 5, 10, 14, 18, 23, 26, 32 … is

#30. The sum of a natural number and its square equals the product of the first three prime numbers. The number is

#31. Two trains of length 140 m and 160 m run at the speed of 60 km/hour and 40 km/hour respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other is :

10 seconds

10.8 seconds

9 seconds

9.6 seconds

#32. The compound interest on a certain sum for 2 year at 10% per annum is Rs 525. The simple interest on the same sum for double the time at half the rate percent per annum is :

Rs 520

Rs 550

Rs 500

Rs 515

#33. The current ages of Sonali and Monali are in the ratio 5 : 3. Five years from now, their ages will be in the ratio 10 : 7. Then, Monali’ s current age is

5 years

3 years

9 years

15 years

#34. HCF of $ \frac {2}{3} , \frac{4}{5} and \frac{6}{7} $ is

$ \frac{48}{105} $

$ \frac{2}{105} $

$ \frac{1}{105} $

$ \frac{24}{105} $

#35. Between two consecutive years my income are in the ratio of 2 : 3 and expenses are in the ratio of 5 : 9. If my income in the second year is `45,000 and my expenses in the first year is ` 25,000 my total savings for the two years is :

Nil

Rs. 15,000

Rs.10,000

Rs. 5000

#36. Find the sum of the first five terms of the following series.$ \frac{1}{1\times4}+\frac{1}{4\times7}+\frac{1}{7\times10} $ +………+…….

$\frac{9}{32}$

$\frac{7}{16}$

$\frac{5}{16}$

$\frac{1}{210}$

#37. The average marks of a class of 35 children is 35. The marks of one of the students, who got 35, was incorrectly entered as 65. What is the correct average of the class?

34.14

38.14

28.20

42.21

#38. The rate of simple interest per annum of bank being decreased from 5% to$ 3\frac12 $ % the annual income of a person from interest was less by Rs 105. The sum deposited at the bank was :

Rs 6000

Rs 7200

Rs 6800

Rs 7000

#39. When 335 is added to 5A7, the result is 8B2. 8B2 is divisible by 3. What is the largest possible value of A?

#40. In a group of students, 70% can speak English and 65% can speak Hindi. If 27% of the students can speak none of the two languages, then what per cent of the group can speak both the languages?

38 %

62 %

28 %

23 %

#41. 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

#42. Find the value of
5² + 6² +7² … + 10²

355

760

765

770

#43. If a man walks 20 km at 5 km/hr, he will be late by 40 minutes. If he walks at 8 km/hr, how early from the fixed time will he reach?

15 minutes

25 minutes

50 minutes

20 minutes

#44. The numbers of the sequence 52, 51, 48, 43, 34, 27, 16 form a pattern. Which of them is misfit in the pattern?

485

#45. If $ \sqrt2 $ = 1.4142….. is given, then the value of $ \frac{7}{(3+{\sqrt2})} $correct up to two decimal places is :

1.59

1.60

2.58

2.57

#46. 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

#47. Suppose that ‘x’ number of men can finish a piece of work in 30 days. If there were 6 men more, the work could be finished in 10 days less. The original number of men is :

#48. The wrong number of the sequence 36, 81, 144, 225, 256, 441 is

225

256

#49. Two pipes A and B can separately fill a tank in 2 hours and 3 hours respectively. If both the pipes are opened simultaneously in the empty tank, then the tank will be filled in :

1 hour 12 minutes

2 hours 30 minutes

1 hour 15 minutes

1 hour 20 minutes

#50. The value of x in the sequence 1, 2, 6, 24, x is

120

FINISH

Results

#1. The ratio of two numbers is 3 : 4 and their LCM is 48. The sum of the two numbers is :

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

#3. The salary of a person is increased by 20%, then it is decreased by 20%. The change in his salary is :

#4. A certain number of men can do a work in 40 days. If there were 8 men more, it could be finished in 10 days less. How many men were there initially?

#5. 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 :

#6. The product of the LCM and the HCF of two numbers is 24. If the difference of the numbers is 2, then the greater of the number is

#7. 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 :

#8. If the selling price of 4 articles is equal to the cost price of 5 articles, the profit per cent is :

#9. Two numbers are less than a third number by 30% and 37% respectively. How much per cent is the second number less than the first?

#10. There is a ratio of 5 : 4 between two numbers. If 40 per cent of the first is 12, then 50% of the second number is :

#11. 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 :

#12. The value of $ 0.65\times0.65 + 0.35\times 0.35 + 0.70 \times 0.65 $ is

#13. 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?

#14. 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 :

#15. The sum of the squares of three consecutive natural numbers is 2030. Then, what is the middle number?

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

#17. 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 :

#18. The greatest among the following numbers $ (3)^\frac13, (2)^\frac12,1, (6)^\frac16 $ is

#19. 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 :

#20. $ \frac{3\sqrt{2}+2\sqrt{3}}{3\sqrt{2}-2\sqrt{3}} $ is equal to

#21. A sum of money is paid back in two annual instalments of Rs 17640 each, allowing 5% compound interest compounded annually. The sum borrowed was :

#22. 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 :

#23. In a school $ \frac{1}{10} $ of the boys are same in number as $ \frac14 $ of the girls and $ \frac58 $ of the girls are same in number as $ \frac14 $ of the boys. The ratio of the boys to girls in that school is :

#24. The average weight of the first 11 persons among 12 persons is 95 kg. The weight of 12th person is 33 kg more than the average weight of all the 12 persons. The weight of the 12th person is :

#25. The least number which when divided by 4, 6, 8, 12 and 16 leaves a remainder of 2 in each case is :

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

#27. The cost price of 36 books is equal to the selling price of 30 books. The gain percent is :

#28. 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?

#29. The next number of the sequence 2, 5, 10, 14, 18, 23, 26, 32 … is

#30. The sum of a natural number and its square equals the product of the first three prime numbers. The number is

#31. Two trains of length 140 m and 160 m run at the speed of 60 km/hour and 40 km/hour respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other is :

#32. The compound interest on a certain sum for 2 year at 10% per annum is Rs 525. The simple interest on the same sum for double the time at half the rate percent per annum is :

#33. The current ages of Sonali and Monali are in the ratio 5 : 3. Five years from now, their ages will be in the ratio 10 : 7. Then, Monali’ s current age is

#34. HCF of $ \frac {2}{3} , \frac{4}{5} and \frac{6}{7} $ is

#35. Between two consecutive years my income are in the ratio of 2 : 3 and expenses are in the ratio of 5 : 9. If my income in the second year is `45,000 and my expenses in the first year is ` 25,000 my total savings for the two years is :

#36. Find the sum of the first five terms of the following series.$ \frac{1}{1\times4}+\frac{1}{4\times7}+\frac{1}{7\times10} $ +………+…….

#37. The average marks of a class of 35 children is 35. The marks of one of the students, who got 35, was incorrectly entered as 65. What is the correct average of the class?

#38. The rate of simple interest per annum of bank being decreased from 5% to$ 3\frac12 $ % the annual income of a person from interest was less by Rs 105. The sum deposited at the bank was :

#39. When 335 is added to 5A7, the result is 8B2. 8B2 is divisible by 3. What is the largest possible value of A?

#40. In a group of students, 70% can speak English and 65% can speak Hindi. If 27% of the students can speak none of the two languages, then what per cent of the group can speak both the languages?

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

#42. Find the value of 52 + 62 +72 … + 102

#43. If a man walks 20 km at 5 km/hr, he will be late by 40 minutes. If he walks at 8 km/hr, how early from the fixed time will he reach?

#44. The numbers of the sequence 52, 51, 48, 43, 34, 27, 16 form a pattern. Which of them is misfit in the pattern?

#45. If $ \sqrt2 $ = 1.4142….. is given, then the value of $ \frac{7}{(3+{\sqrt2})} $correct up to two decimal places is :

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

#47. Suppose that ‘x’ number of men can finish a piece of work in 30 days. If there were 6 men more, the work could be finished in 10 days less. The original number of men is :

#48. The wrong number of the sequence 36, 81, 144, 225, 256, 441 is

#49. Two pipes A and B can separately fill a tank in 2 hours and 3 hours respectively. If both the pipes are opened simultaneously in the empty tank, then the tank will be filled in :

#50. The value of x in the sequence 1, 2, 6, 24, x is

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#42. Find the value of
5² + 6² +7² … + 10²