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. Find the least multiple of 23, which when divided by 18, 21 and 24 leaves the remainder 7, 10 and 13 respectively.

3013

3024

3002

3036

LCM of 18, 21 and 24
LCM = 2 × 3 × 3 × 7 × 4 = 504
Now compare the divisors with their respective remainders. We observe that in all the cases the remainder is just 11 less than their respective divisor. So the number can be given by 504 K – 11 Where K is a positive integer
Since 23 × 21 = 483
We can write 504 K – 11
= (483 21) K – 11, = 483 K (21K – 11)
483 K is multiple of 23, since 483 is divisible by 23.
So, for (504K – 11) to be multiple of 23, the remainder (21K – 11) must be divisible by 23.
Put the value of K = 1, 2, 3, 4, 5,6, ….. and so on successively.
We find that the minimum value of K for which (21K – 11) is divisible by 23. is 6, (21 × 6 – 11)
= 115 which is divisible by 23.
Therefore, the required least number
= 504 × 6 – 11 = 3013

#2. 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

#3. Two numbers are in the ratio 3 : 4. Their LCM is 84. The greater number is

#4. A thief steals a car at 1.30 p.m. and drives it off at 40 km/hr. The theft is discovered at 2 p.m. and the owner sets off in another car at 50 km/hr. He will overtake the thief at :

5 p.m.

4 p.m.

4.30 p.m.

6 p.m.

#5. Sunil completes a work in 4 days, whereas Dinesh completes the work in 6 days. Ramesh works $1\frac1 2$ times as fast as Sunil. The three together can complete the work in :

$1\frac{5}{12}$ days

$1\frac57$ days

$1\frac38$ days

$1\frac{5}{19}$ days

#6. If a boy walks from his house to school at the rate of 4 km per hour, he reaches the school 10 minutes earlier than the scheduled time. However, if he walks at the rate of 3 km per hour, then he reaches 10 minutes late. Find the distance of his school from his house :

5 km

4 km

6 km

4.5 km

#7. A’s salary is 50% more than that of B. How much per cent is B’s salary less than that of A?

50%

$33\frac{1}{3}$

45%

$66\frac{2}{3}$

#8. The list price of a clock is Rs 160. A customer buys it for Rs 122.40 after two successive discounts. If first discount is 10%, the second is ?

10 %

12 %

15 %

18 %

#9. 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

#10. A train passes an electrical pole in 20 seconds and passes a platform of length 250 m in 45 seconds. Find the length of the train .

400 m

200 m

300 m

250m

#11. When 335 is added to 5A7, the result is 8B2. 8B2 is divisible by 3. What is the largest possible value of A?

#12. if $(1101)^2$ = 12122101, then find the value of $\sqrt{121.2201}$

110.1

11.01

1.101

11.001

#13. 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

#14. A sum of money at simple interest triples itself in 15 years. It will become 5 times of itself in :

40 years

36 years

30 years

25 years

#15. 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

#16. If the average weight of 6 students is 50 kg; that of 2 students is 51 kg and that of 2 other students is 55 kg; then the average weight of all the students is :

61 kg

51.5 kg

52 kg

51.2 kg

#17. The odd term in the sequence 0, 7, 26, 63, 124, 217 is

217

#18. In what ratio must a mixture of 30% alcohol strength be mixed with that of 50% alcohol strength so as to get a mixture of 45% alcohol strength ?

1 : 2

1 : 3

2 : 1

3 : 1

#19. 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 :

#20. How many numbers between 400 and 800 are divisible by 4, 5 and 6?

#21. Divide 50 into two parts so that the sum of their reciprocals is $\frac{1}{12}$

35,15

20,30

24,36

28,22

#22. 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

#23. 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 %

$66\frac23$ %

$68\frac13$ %

#24. 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 %

#25. The product of two fractions is $\frac{14}{15}$ and their quotient is $\frac{35}{24}$ The greater of the fractions is :

$\frac74$

$\frac76$

$\frac73$

$\frac45$

FINISH