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, a woman and a boy can together complete a piece of work in 3 days. If a man alone can do it in 6 days and a boy alone in 18 days, how long will a woman alone take to complete the work?

9 days

21 days

24 days

27 days

#2. A shopkeeper allows a discount of 10% on the marked price of a camera. Marked price of the camera, which costs him Rs 600, to make a profit of 20% should be :

Rs 700

Rs 750

Rs 650

Rs 800

#3. 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

#4. 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

#5. 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

#6. 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

#7. 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

#8. The average of 13 results is 70. The average of first seven is 65 and that of the last seven is 75, the seventh result is :

70.5

#9. Find the selling price of an article if a shopkeeper allows two successive discounts of 5% each on the marked price of Rs 80

Rs 70.20

Rs 70.10

Rs 72.00

Rs 72.20

#10. 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

#11. 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

#12. 8 workers can build a wall 18 m long, 2 m broad and 12 m high in 10 days, working 9 hours a day. Find how many workers will be able to build a wall 32 m long, 3 m broad and 9 m high in 8 days working 6 hours a day ?

#13. If 2 + x $\sqrt3$ = $\frac{1}{2+\sqrt3}$ then the simplest value of x is :

-1

-2

#14. 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} $

#15. Sarita and Julie start walking from the same place in the opposite directions. If Julie walks at a speed of $2\frac12$ km/hr and Sarita at a speed of 2 km/hr, then in how much time will they be 18 km apart?

4.0 hours

4.5 hours

5.0 hours

4.8 hours

#16. Out of 4 numbers, whose average is 60, the first one is one-fourth of the sum of the last three. The first number is :

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

#18. 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 :

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

150

170

180

190

#20. Of the 1000 inhabitants in a town 60% are males of whom 20% are literate. If from all the in-habitants, 25% are literate, then what percentage of the females of the town is literate?

27.5 %

32.5 %

37.5 %

22.5 %

#21. A can cultivate $\frac25$ th of a land in 6 days and B can cultivate $\frac13$ rd of the same land in 10 days. Working together A and B can cultivate $\frac45$ th of the land in :

4 days

5 days

8 days

10 days

#22. The ratio of the fifth and sixth terms of the sequence 1, 3, 6, 10, … is

5 : 6

5 : 7

7 : 5

6 : 5

#23. 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

#24. A man travels for 5 hours 15 minutes. If he covers the first half of the journey at 60 km/h and rest at 45 km/h. Find the total distance travelled by him.

142 km

189 km

378 km

270 km

#25. If the average of eight consecutive even numbers be 93, then the greatest number among them is :

100

102

#26. 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 %

#27. Arrange $\frac45,\frac78,\frac67,\frac56$ in the ascending order.

$\frac45,\frac78,\frac67,\frac56$

$\frac56,\frac67,\frac78,\frac45$

$\frac45,\frac56,\frac67,\frac78$

$\frac78,\frac67,\frac56,\frac45$

#28. The average of five numbers is 7. When three new numbers are included, the average of the eight numbers becomes 8.5. The average of three new numbers is :

10.5

11.5

#29. 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 :

#30. 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

#31. 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 :

#32. 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

#33. The least number that should be added to 2055, so that the sum is exactly divisible by 27 is :

#34. Three numbers which are coprime to one another are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is :

#35. $\sqrt{110\frac14}$ is equal to

12.0

11.5

11.0

10.5

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

#37. The greatest value among the fractions $\frac27, \frac13,\frac56, \frac34$

$\frac34$

$\frac56$

$\frac13$

$\frac27$

#38. In a class, there are ‘z’ students. Out of them ‘x’ are boys. What part of the class is composed of girls?

$\frac{x}{z}$

$\frac{z}{x}$

1-$\frac{x}{z}$

$\frac{x}{z}$-1

#39. A student multiplied a number by $\frac35$ instead of $\frac53$ . What is the percentage error in the calculation?

44%

34%

54%

64%

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

20 %

25 %

40 %

50 %

#41. If 80 persons can finish a work within 16 days by working 6 hours a day, the number of hours a day, should 64 persons work to finish that very job within 15 days is :

5 hours

7 hours

8 hours

6 hours

#42. A certain distance is covered by a cyclist at a certain speed. If a jogger covers half the distance in double the time, then the ratio of the speed of the jogger to that of the cyclist is :

1 : 4

4 : 1

1 : 2

2 : 1

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

10 %

15 %

20 %

23 %

#44. 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

#45. In a farm there are cows and hens. If the heads are counted they are 180, if legs are counted they are 420. The number of cows in the farm is :

130

150

#46. By selling 144 hens Mahesh suffered a loss equal to the selling price of 6 hens. His loss percent is :

4 %

3 %

9 %

$4\frac12$ %

#47. A cricketer had a certain average of runs for his 64 innings. In his 65th innings, he is bowled out for no score on his part. This brings down his average by 2 runs. His new average of runs is :

130

128

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

$7\frac{9}{10}$

$2\frac{9}{10}$

$\frac{9}{10}$

$9\frac{9}{10}$

#49. The average of 20 numbers is calculated as 35. It is discovered later, that while calculating the average, one number, namely 85, was read as 45. The correct average is :

36.5

37.5

#50. If the price of a commodity is increased by 50%, by what fraction must its consumption be reduced so as to keep the same expenditure on its consumption?

$\frac14$