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 middle term(s) of the following series 2 + 4 + 6 + … + 198 is

100

#2. Rs 500 was invested at 12% per annum simple interest and a certain sum of money is invested at 10% per annum simple interest. If the sum of the interest on both the sum after 4 years is Rs 480, the latter sum of money is :

Rs 450

Rs 750

Rs 600

Rs 550

#3. Divide Rs. 7500 among A, B and C such that A’s share to B’s share is in the ratio of 5 : 2 and B’s share to C’s share is in the ratio 7 : 13. How much will B receive?

Rs. 1400

Rs. 3500

Rs. 2600

Rs. 7000

#4. 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

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

120

#6. By selling a tape-recorder for Rs 1040 a man gains 4%. If he sells for Rs 950, then his loss will be :

5 %

4 %

4.5 %

9 %

#7. 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 The next 4 litres of the mixture are withdrawn and again the vessel is filled with the same quantity of acid left in the vessel with the quantity of acid initially in the vessel is :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

#8. When a particular number is subtracted from each of 7, 9, 11 and 15, the resulting numbers are in proportion. The number to be subtracted is :

#9. The speed of two trains is in the ratio of 6 : 7. If the second train runs 364 km in 4 hours, then the speed of first train is ?

60 km/hr

72 km/hr

78 km/hr

84 km/hr

#10. A man spends Rs. 1800 monthly on an average for the first four months and Rs. 2000 monthly for the next eight months and saves Rs. 5600 a year. His average monthly income is :

Rs. 2000

Rs. 2200

Rs. 2400

Rs. 2600

#11. 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

#12. 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 :

#13. 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

#14. A tradesman marks his goods at 20% above the cost price. He allows his customer a discount of 8% on marked price. Find out his profit percent.

12 %

10.4 %

8.6 %

8.2 %

#15. 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} $

#16. The speed of a boat is 5 km per hour in still water and the speed of the stream is 3 km per hour. If the boat takes 3 hours to go to a place and come back, then the distance of the place is :

3.75 km

4 km

4.8 km

4.25 km

#17. The greatest number among ${3}^{50},{4}^{40},{5}^{30}$ and $6^{20}$ is

$3^{50}$

$4^{40}$

$5^{30}$

$6^{20}$

#18. The greatest number, by which 1657 and 2037 are divided to give remainders 6 and 5 respectively, is

127

133

235

305

The largest number which when divide the numbers a, b and c give remainders as p, q, r respectively is given by HCF of (a – p), (b – q) and (c – r)
Required number
We have to find HCF of
(1657 – 6 = 1651) and (2037 – 5 = 2032)
1651 = 13 × 127, 2032 = 16 × 127
HCF = 127 So, required number will be 127

#19. 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

#20. 553 + 173 – 723 + 201960 is equal to

-1

#21. Pipe A can fill a tank in 4 hours and pipe B can fill it in 6 hours. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full?

$4\frac12$

$3\frac12$

$3\frac14$

$4\frac23$

#22. 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

#23. The quotient when $10^{100}$ is divided by $5^{75}$ is

$2^{25}\times 10^{75}$

$10^{25}$

$2^{75}$

$2^{75}\times 10^{25}$

#24. . Four years ago, the ratio of A’s age to B’s age was 11 : 14 and four years later their age will be in the ratio 13 : 16. The present age of A is :

48 years

26 years

44 years

28 years

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

225

256

#26. The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs.12,000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is :

#27. The difference between compound and simple interest on a certain sum for 3 years at 5% per annum is Rs 122. The sum is :

Rs 16000

Rs 15000

Rs 12000

Rs 10000

#28. . A train is running at 36 km/hr. If it crosses a pole in 25 seconds, then its length is :

248 m

250 m

255 m

260 m

#29. The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train, starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time will they meet?

10 a.m

10.30 a.m.

11 a.m

11.30 a.m

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

#31. The LCM of two multiples of 12 is 1056. If one of the number is 132, the other number is

132

#32. A train runs from Howrah to Bandel at an average speed of 20 km/hr and returns at an average speed of 30 km/hr. The average speed (in km/hr) of the train in the whole journey is :

22.5

#33. A sum of Rs 1550 was lent partly at 5% and partly at 8% simple interest. The total interest received after 3 years is Rs 300. The ratio of money lent at 5% to that at 8% is :

5 : 8

8 : 5

31 : 6

16 : 15

#34. 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

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

$\frac{13}{27}$

$\frac{1}{2}$

$\frac{73}{84}$

$\frac{37}{48}$

#36. The ratio of monthly incomes of A and B is 6 : 5 and their monthly expenditures are in the ratio 4 : 3. If each of them saves Rs. 400 per month, then find the sum of their monthly incomes.

2300

2400

2200

2500

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

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

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

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

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

#38. A sum of money is divided among A, B, C and D in the proportion of 7 : 6 : 3 : 5. If B gets `270 more than C, then the share of D is :

Rs. 250

Rs. 350

Rs. 450

Rs. 455

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

#40. A man, a woman and a boy together finish a piece of work in 6 days. If a man and a woman can do the same work in 10 and 24 days respectively then the number of days taken by a boy to finish the work is :

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

$\sqrt[6]{12}$

$\sqrt[3]4$

$\sqrt3$

$\sqrt[4]5$

#42. A builder borrows Rs 2550 which is to be paid back with compound interest at the rate of 4% per annum by the end of 2 years in two equal yearly instalments. How much will each instalment be?

Rs 1352

Rs 1377

Rs 1275

Rs 1283

#43. 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

#44. 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 :

#45. A boat goes 6 km an hour in still water, but takes thrice as much time in going the same distance against the current. The speed of the current (in km/hour) is :

#46. the simplified value of $\sqrt{{5}+\sqrt{{11}+\sqrt{{19}+\sqrt{{29}+\sqrt{49}}}}}$ is

#47. 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?

#48. 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%

#49. Water tax is increased by 20% but its consumption is decreased by 20%. Then the increase or decrease in the expenditure of the money is :

5% decrease

4% decrease

No change

4% increase

#50. 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

FINISH