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. 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

#2. A train travels 500 m in first minute. In the next 4 minutes, in each minute it travels 125 m more than that in the previous minute. The average speed per hour of the train during those 5 minutes will be :

30 km/hr

45 km/hr

50 km/hr

55 km/hr

#3. The HCF and LCM of two numbers are 21 and 84 respectively. If the ratio the two numbers is 1 : 4, then the larger of the two numbers is

108

HCF of numbers = 21
Numbers = 21x and 21y
Where x and y are prime to each other.
Ratio of numbers = 1 : 4
Larger number = 21 × 4 = 84

#4. 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

#5. 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

#6. 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

#7. What is the smallest number which leaves remainder 3 when divided by any of the numbers 5, 6 or 8 but leaves no remainder when it is divided by 9 ?

123

603

723

243

#8. A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is

600

750

1000

1250

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

#10. 553 + 173 – 723 + 201960 is equal to

-1

#11. 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 %

#12. 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

#13. The cost of manufacturing an article was Rs 900. The trader wants to gain 25% after giving a discount of 10%. The marked price must be :

Rs 1500

Rs 1250

Rs 1200

Rs 1000

#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 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

#16. 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

#17. If the ratio of principal and the simple interest for 5 years is 10 : 3, then the rate of interest is :

5 %

6 %

8 %

3 %

#18. The average of three consecutive odd numbers is 12 more than one third of the first of these numbers. What is the last of the three numbers?

Data inadequate

#19. In an examination, a student must get 36% marks to pass. A student who gets 190 marks failed by 35 marks. The total marks in that examination is :

450

810

500

625

#20. The least number to be subtracted from 36798 to get a number which is exactly divisible by 78 is

When 36798 is divided by 78, remainder = 60
The least number to be subtracted = 60

#21. A person buys 100 cups at Rs 10 each. On the way 10 cups are broken. He sells the remaining cups at Rs 11 each. His loss percent is :

$\frac12$ %

1 %

$1\frac12$ %

2 %

#22. 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

#23. What will come in place of the question mark (?) in the series? 3, 8, 27, 112, (?), 3396

565

452

560

678

#24. The sum lent at 5% per annum (i.e., 365 days) simple interest that produces interest, of Rs 2.00 per day is :

Rs 1400

Rs 14700

Rs 14600

Rs 7300

#25. 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

#26. What least number must be subtracted from 1936 so that the resulting number when divided by 9, 10 and 15 will leave in each case the same remainder 7 ?

LCM of 9, 10 and 15 = 90
The multiple of 90 are also divisible by 9, 10 or 15.
21 × 90 = 1890 will be divisible by them.
Now, 1897 will be the number
that will give remainder 7.
Required number = 1936 – 1897 = 39

#27. One man or two women or three boys can do a piece of work in 88 days. One man, one women and one boy will do it in :

44 days

24 days

48 days

20 days

#28. The average marks of 50 students in a class is 72. The average marks of boys and girls in that subject are 70 and 75 respectively. The number of boys in the class is :

#29. If the compound interest on a certain sum for two years at 12% per annum is Rs 2544, the simple interest on it at the same rate for 2 years will be :

Rs 2400

Rs 2480

Rs 2500

Rs 2440

#30. 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

#31. Two numbers are in the ratio 2: 3. If 20% of the smaller number added to 20 is equal to the sum of 10% of the larger number and 25, then the smaller number is :

100

160

180

200

#32. The simplified value of $(0.2)^3\times 200 \div 2000\: \text{of} \:(0.2)^2$ is

$\frac{1}{100}$

$\frac{1}{50}$

$\frac{1}{10}$

#33. 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

#34. 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

#35. 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

#36. If there is a profit of 20% on the cost price, the percentage of profit on the sale price is :

$16\frac23$ %

12 %

$15\frac13$ %

16 %

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

#38. If $(125)^{2/3}\times (625)^{1/4} = 5^{x}$ , then the value of x is

#39. The value of ( $11111)^2$ is

12344321

121212121

123454321

11344311

#40. 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

#41. The fourth proportional to 0.12, 0.21, 8 is :

8.9

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

$\frac{13}{27}$

$\frac{1}{2}$

$\frac{73}{84}$

$\frac{37}{48}$

#43. In an examination there are three subjects of 100 marks each. A student scores 60% in the first subject and 80% in the second subject. He scored 70% in aggregate. His percentage of marks in the third subject is :

#44. The average pocket money of 3 friends A, B, C is Rs. 80 in a particular month. If B spends double and C spends triple of what A spends during that month and if the average of their unspent pocket money is Rs. 60, then A spends (in Rs.)

Rs.10

Rs. 20

Rs. 30

Rs. 40

#45. The HCF of two numbers is 96 and their LCM. is 1296. If one of the number is 864, the other is

132

135

140

144

#46. At an election there were two candidates. A candidate got 38% of votes and lost by 7200 number of votes. The total number of valid votes were :

13000

13800

16200

30000

#47. A grocery dealer cheats to the extent of 10% while buying as well as selling by using false weight. What is his increase in the profit %?

20 %

21 %

22 %

None of these

#48. Instead of multiplying a number by 0.72, a student multiplied it by 7.2. If his answer was 2592 more than the correct answer, then the original number was :

400

420

500

560

#49. Arvind spends 75% of his income and saves the rest. His income is increased by 20% and he increases his expenditure by 10%. Then the increase in savings in percentage is

55%

52%

50%

48%

#50. 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 %

FINISH