SSC CHSL Quantitative Aptitude Questions with Solutions

SSC CHSL Quantitative Aptitude (Basic Arithmetic Skill) Questions with answers and Solutions for free online practice.

Mock Test : Maths (Quantitative Aptitude) MCQs
Exam : SSC CHSL
Medium : English
Questions : 25 ( New practice set in every attempt)
All questions are solved with short tricks
You can check the answer and solution of every question.

Results

#1. Alcohol and water in two vessels A and B are in the ratio 5 : 3 and 5 : 4 respectively. In what ratio, the liquids in both the vessels be mixed to obtain a new mixture in vessel C in the ratio 7 : 5 ?

2 : 3

3 : 2

3 : 5

2 : 5

#2. A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, then how far is the place?

2.5 km

3 km

2.4 km

3.6 km

#3. 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

#4. Given that 1² + 2² + 3² + … + 10² = 385, the value of 2² + 4² + 6² + … + 20² is

770

1540

1155

3851

#5. Ramesh deposited Rs 15600 in a fixed deposit at the rate of 10% per annum simple interest. After every second year, he adds his interest earnings to the principal. The interest at the end of fourth year is :

Rs 1716

Rs 1560

Rs 3432

Rs 1872

#6. The value of $\frac{\sqrt{80}-\sqrt{112}}{\sqrt{45}-\sqrt{63}}$ is

$\frac34$

$1\frac34$

$1\frac13$

$1\frac79$

#7. The printed price of an article is Rs 900 but the retailer gets a discount of 40%. He sells the article for Rs 900. The retailer’s gain percent is :

40 %

60 %

$66\frac23$ %

$68\frac13$ %

#8. 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?

#9. The LCM of two numbers is 1920 and their HCF is 16. If one of the number is 128, find the other number.

204

240

260

320

#10. 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

#11. 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

#12. The difference between the value of the number increased by 20% and the value of the number decreased by 25% is 36. Find the number :

7.2

0.5

720

#13. If a, b, c are three numbers such that a : b = 3 : 4 and b : c = 8 : 9, then a : c is equal to

1 :3

2 : 3

3 : 2

1 : 2

#14. A, B and C can do a piece of work in 30, 20 and 10 days respectively. A is assisted by B on one day and by C on the next day, alternately. How long would the work take to finish?

$9\frac38$ days

$4\frac88$ days

$8\frac{4}{13}$ days

$3\frac{9}{13}$ days

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

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

25 %

75 %

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

#16. 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 %

#17. 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 $

#18. A man is twice as fast as a woman and a woman is twice as fast as a boy in doing a work. If all of them, a man, a woman and a boy can finish the work in 7 days, in how many days a boy will do it alone?

#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. 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 :

#21. Given that 1² + 2² + 3² + … + 20² = 2870. Then the value of (2² + 4² + 6² + … + 40² ) is :

11480

5740

28700

2870

#22. If the product of first 50 positive consecutive integers be divisible by $7^n$ , where n is an integer, then the largest possible value of n is :

#23. The average weight of a group of 20 boys was calculated to be 89.4 kg and it was later discovered that one weight was misread as 78 kg instead of 87 kg. The correct average weight is :

88.95 kg

89.25 kg

89.55 kg

89.85 kg

#24. If one-ninth of a certain number exceeds its one-tenth by 4, the number is :

320

360

400

440

#25. 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