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. 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 ?

#2. A boat goes 12 km downstream and comes back to the starting point in 3 hours. If the speed of the current is 3 km/hr, then the speed (in km/hr) of the boat in still water is :

#3. Which term of the sequence 6, 13, 20, 27, … is 98 more than its 24th term?

$36^{th}$

$38^{th}$

$35^{th}$

$48^{th}$

#4. 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

#5. Arvind purchased a wrist watch with 30% discount on the labelled price. He sold it with 40% profit on the price he bought. What was his per cent loss on the labelled price?

2 %

6 %

4 %

8 %

#6. Given A is 50% larger than C and B is 25% larger than C, then A is what per cent larger than B?

25%

50%

75%

20%

#7. 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 ?

#8. 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

#9. If A and B are in the ratio 4 : 5 and the difference of their squares is 81, what is the value of A?

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

120

#11. 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 :

#12. 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 %

#13. A train of length 150 m takes 30 seconds to cross a bridge of 500 m long. How much time will the train take to cross a platform of length 370 m?

36 seconds

30 seconds

24 seconds

18 seconds

#14. Which term of the series 72, 63, 54 … is zero?

11^th

10^th

9^th

8^th

#15. 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

#16. 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

#17. 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

#18. A vessel contains 20 litres of acid. 4 litres of acid is taken out of the vessel and replaced by the same quantity of water. The next 4 litres of the mixture are withdrawn and again the vessel is filled with the same quantity of acid left in the vessel with the quantity of acid initially in the vessel is :

4 : 5

4 : 25

16 : 25

1 : 5

#19. A person who pays income tax at the rate of 4 paise per rupee, find that a fall of interest rate from 4% to 3.75% diminishes his net yearly income by Rs 48. What is his capital?

Rs 24000

Rs 25000

Rs 20000

Rs 18000

#20. 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 %

#21. A tap can fill a cistern in 40 minutes and a second tap can empty the filled cistern in 60 minutes. By mistake without closing the second tap, the first tap was opened. In how many minutes will the empty cistern be filled?

108

120

#22. 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

#23. In what time will Rs 10000 amount to Rs 13310 at 20% per annum if compounded half yearly?

$1\frac12$ years

2 years

$2\frac12$ years

3 years

#24. If in a sale, the discount given on a saree is equal to one-fourth the marked price and the loss due to this discount is 15%, then the ratio of the cost price to the selling price is :

3 : 4

4 : 3

10 : 17

20 : 17

#25. 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

#26. 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

#27. 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} $

#28. 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

#29. 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%

#30. 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

#31. 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

#32. A cistern has two pipes. One can fill it with water in 8 hours and other can empty it in 5 hours. In how many hours will the cistern be emptied if both the pipes are opened together when $\frac34$ of the cistern is already full of water?

$13\frac13$ hours

10 hours

6 hours

$3\frac13$ hours

#33. A tap can fill a cistern in 8 hours and another tap can empty it in 16 hours. If both the taps are open, the time (in hours) taken to fill the tank will be :

#34. A man bought 20 dozen eggs for Rs 720. What should be the selling price of each egg if he wants to make a profit of 20% ?

Rs 3.25

Rs 3.30

Rs 3.50

Rs 3.60

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

150

170

180

190

#36. A reduction of 25% in the price of rice enables a person to buy 10 kg more rice for Rs.600. The reduced per kg price of rice

Rs. 30

Rs. 25

Rs. 20

Rs.15

#37. Every Sunday, Gin jogs 3 miles. For rest of the week, each day he jogs 1 mile more than the previous day. How many miles Gin jogs in 2 weeks?

#38. In an election there were only two candidates. One of the candidates secured 40% of votes and is defeated by the other candidate by 298 votes. The total number of votes polled is :

745

1460

1490

1500

#39. Three numbers are in the ratio 1 : 2 : 3. By adding 5 to each of them, the new numbers are in the ratio 2 : 3 : 4. The numbers are:

10, 20, 30

15, 30, 45

1, 2, 3

5, 10, 15

#40. 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

#41. $(4 \frac{11}{15}+\frac{15}{71})^2-(4\frac{11}{15}-\frac{15}{71})^2$ is equal to

#42. 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

#43. 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

#44. 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

#45. Two successive discounts of 10% and 5% is given on a bill of Rs 110. Find the net amount of money payable to clear the bill. (Answer to the nearest rupee)

Rs 94

Rs 95

Rs 96

Rs 97

#46. The ratio of 25^2.5 : 5³ is same as :

5 : 3

5 : 6

1 : 25

25 : 1

#47. A takes three times as long as B and C together to do a job. B takes four times as long as A and C together to do the work. If all the three, working together can complete the job in 24 days, then the number of days, A alone will take to finish the job is

100

#48. If A and B are the HCF and LCM respectively of two algebraic expressions x and y, and A + B = x + y, then the value of $A^3+B^3$ is

$ x^3 -y^3 $

$ x^3 $

$ y^3 $

$ x^3 +y^3 $

#49. A single discount equivalent to the series of discounts 20%, 10% and 5% is equal to :

32 %

30 %

30.7 %

31.6 %

#50. 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

FINISH