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

#2. 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

#3. Two vessels A and B contain milk and water mixed in the ratio of 4 : 3 and 2 : 3. The ratio in which these mixtures be mixed to form a new mixture containing half milk and half water is :

7 : 5

6 : 5

5 : 6

4 : 3

#4. Which of the following number is the greatest of all? $0.9,0.{\overline9},0.0{\overline9},0.\overline{09}$

0.9

$0.{\overline9.}$

$0.0{\overline9}$

$0.\overline{09}$

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

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

30 %

40 %

25 %

15 %

#7. A store has an offer ‘Buy 4 Get 1 Free’. What is the net percentage of discount?

10 %

15 %

20 %

23 %

#8. If x is less than y by 25% then y exceeds x by

$33\frac{1}{3}$ %

25 %

75 %

$66\frac{2}{3}$%

#9. A and B can do a piece of work in 28 and 35 days respectively. They began to work together but A leaves after sometime and B completed the remaining work in 17 days. After how many days did A leave?

$14\frac25$ days

9 days

8 days

7$7\frac59$ days

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

$\frac{13}{27}$

$\frac{1}{2}$

$\frac{73}{84}$

$\frac{37}{48}$

#11. Mohan gets 3 marks for each correct sum and loses 2 marks for each wrong sum. He attempts 30 sums and obtains 40 marks. The number of sums solved correctly is

#12. The greatest number, that divides 122 and 243 leaving respectively 2 and 3 as remainders, is

120

Clearly, 122 – 2 = 120 and 243 – 3 = 240 are exactly divisible by the required number.
Required number
= HCF of 120 and 240 = 120

#13. 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

#14. A sum of Rs 1600 gives a simple interest of Rs 252 in 2 years and 3 months. The rate of interest per annum is :

$5\frac12$ %

8 %

7 %

6 %

#15. 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

#16. Two boats A and B start towards each other from two places, which is 108 km apart. Speed of the boat A and B in still water are 12 km/hr and 15 km/hr respectively. If A proceeds down and B up the stream, they will meet after how many hours?

4.5 hours

4 hours

5.4 hours

6 hours

#17. 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 %

#18. 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

#19. If 12 men working 8 hours a day complete the work in 10 days, how long would 16 men working $7\frac12$ hours a day take to complete the same work?

#20. What number should be subtracted from both the terms of the ratio 11 : 15 so as to make it as 2 : 3 ?

#21. What per cent decrease in salaries would exactly cancel out the 20 per cent increase?

20 %

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

$33\frac{1}{3}$

18 %

#22. By walking at $\frac34$ of his usual speed, a man reaches his office 20 minutes later than his usual time. The usual time taken by him to reach his office is :

75 minutes

60 minutes

40 minutes

30 minutes

#23. A sum of money amounts to Rs 4840 in 2 years and to Rs 5324 in 3 years at compound interest compounded annually. The rate of interest per annum is :

10 %

9 %

11 %

8 %

#24. What sum of money must be given as simple interest for six months at 4% per annum in order to earn Rs 150 interest?

Rs 5000

Rs 7500

Rs 10000

Rs 15000

#25. A merchant sold an article for Rs 75 at a profit per cent equal to its cost price. The cost price of the article was :

Rs 45

Rs 50

Rs 54

Rs 60

#26. A man rows 750 m in 600 seconds against the stream and returns in $7\frac1 2$ minutes. Its rowing speed in still water is (in km/hr).

5.5

5.75

5.25

#27. 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%

$66\frac{2}{3}$

#28. 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

#29. The cost price of 100 books is equal to the selling price of 60 books. The gain percentage/loss percentage is :

$66\frac32$ %

67 %

66 %

$66\frac23$ %

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

$\sqrt[6]{12}$

$\sqrt[3]4$

$\sqrt3$

$\sqrt[4]5$

#31. A boat takes half time in moving a certain distance downstream than upstream. The ratio of the speed of the boat in still water and that of the current is :

2 : 1

1 : 2

4 : 3

3 : 1

#32. The least number, which is to be added to the greatest number of 4 digits so that the sum may be divisible by 345 is :

#33. An old article is available for Rs 12000 at cash payment or is available for Rs 7000 cash payment and a monthly instalment of Rs 630 for 8 months. The rate per cent per annum is :

2.1 %

3 %

3.25 %

3.3 %

#34. Sourav purchased 30 kg of rice at the rate of Rs 10 per kg and 35 kg at the rate of Rs 11 per kg. He mixed the two. At what price per kg (in Rs) should he sell the mixture to make a 30% profit in the transaction?

12.5

13.7

14.25

#35. A can do a piece of work in 6 days. B is 25% more efficient than A. How long would B alone take to finish this work?

$4\frac45$ days

$3\frac13$ days

$5\frac14$ days

$2\frac23$ days

#36. Pick the odd one out from the sequence of numbers. 19, 23, 29, 37, 43, 46, 47 is

#37. The average of 5 consecutive natural numbers is m. If the next three natural numbers are also included, then how much more than m will the average of these 8 numbers be?

1.4

1.5

#38. A fruit merchant makes a profit of 25% by selling mangoes at a certain price. If he charges Rs 1 more on each mango, he would gain 50%. At first the price of one mango was :

Rs. 5

Rs. 7

Rs. 4

Rs. 6

#39. 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

#40. A sum of Rs 10,000 lent partly at 8% and remaining at 10% per annum. If the yearly interest on the average is 9.2%, the two parts are :

Rs 4000, Rs 6000

Rs 4500, Rs 5500

Rs 5000, Rs 5000

Rs 5500, Rs 4500

#41. 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

#42. $\sqrt{\frac{0.49}{0.25}}$ + $\sqrt{\frac{0.81}{0.36}}$ is equal to

$7\frac{9}{10}$

$2\frac{9}{10}$

$\frac{9}{10}$

$9\frac{9}{10}$

#43. A store offe Rs a variety of discounts that range between 20% and 25% inclusive. If a book is discounted to a price of Rs 270, then its greatest possible original price was :

Rs 345.5

Rs 324

Rs 360

Rs 337.5

#44. 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

#45. 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

#46. Find the simplest value of $2\sqrt{50}+\sqrt{18} -\sqrt{72}$ (given $\sqrt2 = 1.414)$

4.242

9.898

10.312

8.484

#47. Three years ago, the average age of a family of 5 members was 17 years. A baby having been born, the average age of the family is the same today. The present age of the baby (in year/s) is :

1.5

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

#49. The product of two 2–digit numbers is 2160 and their HCF is 12. The numbers are

(12, 60)

(72, 30)

(36, 60)

(60, 72)

#50. A sum of money invested at compound interest doubles itself in 6 years. At the same rate of interest it will amount to eight times of itself in :

15 years

12 years

18 years

10 years

FINISH

Results

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

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

#3. Two vessels A and B contain milk and water mixed in the ratio of 4 : 3 and 2 : 3. The ratio in which these mixtures be mixed to form a new mixture containing half milk and half water is :

#4. Which of the following number is the greatest of all?

#5. is equal to

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

#7. A store has an offer ‘Buy 4 Get 1 Free’. What is the net percentage of discount?

#8. If x is less than y by 25% then y exceeds x by

#9. A and B can do a piece of work in 28 and 35 days respectively. They began to work together but A leaves after sometime and B completed the remaining work in 17 days. After how many days did A leave?

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

#11. Mohan gets 3 marks for each correct sum and loses 2 marks for each wrong sum. He attempts 30 sums and obtains 40 marks. The number of sums solved correctly is

#12. The greatest number, that divides 122 and 243 leaving respectively 2 and 3 as remainders, is

#13. 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 :

#14. A sum of Rs 1600 gives a simple interest of Rs 252 in 2 years and 3 months. The rate of interest per annum is :

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

#16. Two boats A and B start towards each other from two places, which is 108 km apart. Speed of the boat A and B in still water are 12 km/hr and 15 km/hr respectively. If A proceeds down and B up the stream, they will meet after how many hours?

#17. 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?

#18. 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

#19. If 12 men working 8 hours a day complete the work in 10 days, how long would 16 men working hours a day take to complete the same work?

#20. What number should be subtracted from both the terms of the ratio 11 : 15 so as to make it as 2 : 3 ?

#21. What per cent decrease in salaries would exactly cancel out the 20 per cent increase?

#22. By walking at of his usual speed, a man reaches his office 20 minutes later than his usual time. The usual time taken by him to reach his office is :

#23. A sum of money amounts to Rs 4840 in 2 years and to Rs 5324 in 3 years at compound interest compounded annually. The rate of interest per annum is :

#24. What sum of money must be given as simple interest for six months at 4% per annum in order to earn Rs 150 interest?

#25. A merchant sold an article for Rs 75 at a profit per cent equal to its cost price. The cost price of the article was :

#26. A man rows 750 m in 600 seconds against the stream and returns in minutes. Its rowing speed in still water is (in km/hr).

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

#28. 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?

#29. The cost price of 100 books is equal to the selling price of 60 books. The gain percentage/loss percentage is :

#30. The smallest among is

#31. A boat takes half time in moving a certain distance downstream than upstream. The ratio of the speed of the boat in still water and that of the current is :

#32. The least number, which is to be added to the greatest number of 4 digits so that the sum may be divisible by 345 is :

#33. An old article is available for Rs 12000 at cash payment or is available for Rs 7000 cash payment and a monthly instalment of Rs 630 for 8 months. The rate per cent per annum is :

#34. Sourav purchased 30 kg of rice at the rate of Rs 10 per kg and 35 kg at the rate of Rs 11 per kg. He mixed the two. At what price per kg (in Rs) should he sell the mixture to make a 30% profit in the transaction?

#35. A can do a piece of work in 6 days. B is 25% more efficient than A. How long would B alone take to finish this work?

#36. Pick the odd one out from the sequence of numbers. 19, 23, 29, 37, 43, 46, 47 is

#37. The average of 5 consecutive natural numbers is m. If the next three natural numbers are also included, then how much more than m will the average of these 8 numbers be?

#38. A fruit merchant makes a profit of 25% by selling mangoes at a certain price. If he charges Rs 1 more on each mango, he would gain 50%. At first the price of one mango was :

#39. 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

#40. A sum of Rs 10,000 lent partly at 8% and remaining at 10% per annum. If the yearly interest on the average is 9.2%, the two parts are :

#41. 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?

#42. + is equal to

#43. A store offe Rs a variety of discounts that range between 20% and 25% inclusive. If a book is discounted to a price of Rs 270, then its greatest possible original price was :

#44. 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?

#45. 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?

#46. Find the simplest value of (given

#47. Three years ago, the average age of a family of 5 members was 17 years. A baby having been born, the average age of the family is the same today. The present age of the baby (in year/s) is :

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

#49. The product of two 2–digit numbers is 2160 and their HCF is 12. The numbers are

#50. A sum of money invested at compound interest doubles itself in 6 years. At the same rate of interest it will amount to eight times of itself in :

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

#4. Which of the following number is the greatest of all? $0.9,0.{\overline9},0.0{\overline9},0.\overline{09}$

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

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

#15. 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

#19. If 12 men working 8 hours a day complete the work in 10 days, how long would 16 men working $7\frac12$ hours a day take to complete the same work?

#22. By walking at $\frac34$ of his usual speed, a man reaches his office 20 minutes later than his usual time. The usual time taken by him to reach his office is :

#26. A man rows 750 m in 600 seconds against the stream and returns in $7\frac1 2$ minutes. Its rowing speed in still water is (in km/hr).

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

#42. $\sqrt{\frac{0.49}{0.25}}$ + $\sqrt{\frac{0.81}{0.36}}$ is equal to

#46. Find the simplest value of $2\sqrt{50}+\sqrt{18} -\sqrt{72}$ (given $\sqrt2 = 1.414)$