Quantitative Aptitude - SSC CHSL 2021 Tier 1 Question Paper - 24 May 2021 - Morning Shift

Combined Higher Secondary Level Examination 2021 Tier I
Quantitative Aptitude
24/05/2022 9:00 AM - 10:00 AM

To view Answer, Choose any one option out of four Options for each Question.

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1.

18%

20%

24%

15%

2. If the volume of a sphere is 972π cm3, then find its radius.

7 cm

6 cm

9 cm

8 cm

3. 15 boys and a certain number of girls appeared for a test. The average score of the boys was 26; the average score of the girls was 36, while the combined average score was 30. How many girls appeared for the test?

10

8

12

9

4. A metallic solid cuboid of dimensions 36 cm × 18 cm × 12 cm is melted and recast in the form of cubes of side 6 cm. Find the number of cubes so formed.

38

40

34

36

5. A pillar 11 m in radius is 21 m high. How much material was used to construct it?(Use π=22/7)

7996 $m^3$

7886 $m^3$

7989 $m^3$

7986 $m^3$

6. From the following numbers, find the number which exactly divisible by 42.

25232

25242

25244

25212

7.

10

8

7

12

8. A man purchased a cell phone for ₹24,500 and sold it at a gain of 12.5% calculated on the selling price. The selling price of the cell phone was:

₹25,000

₹28,000

₹27,500

₹25,500

9. The foot of a ladder 25 m long is 7 m from the base of the building. If the top of the ladder slips by 4 m, then by how much distance will the foot of the ladder slide?

9 m

7 m

6 m

8 m

10. What is the third proportion to 15 and 24?

$38\frac{4}{5}$

$37\frac{2}{5}$

$38\frac{2}{5}$

$37\frac{4}{5}$

11. Simplify the expression

$(36p^2 + 49q^2)(6p+7q)(6p-7q)$

$1296p^4+2401q^4 $

$ 36p^4-49q^4 $

$1296p^4-2401q^4 $

$ 36p^4+49q^4 $

12. A retailer offers a discount scheme on shirts, that is, buy 3, get 2 free. What is the discount percentage?

35%

50%

30%

40%

13. A can complete a piece of work in 12 days, and B can complete the same work in 36 days. In how many days will both, together, complete the work?

7

8

6

9

14. A pupil muliplied a figure by $\frac{3}{5}$ rather than $\frac{5}{3}$. What is the percentage error in the calculation?

64

47

58

52

15. If $x+y+z = 0$, then what will be the value of $(\frac{x^2}{yz} + \frac{y^2}{zx} + \frac{z^2}{xy})$ = ?

$ \frac{3(x^2+y^2+z^2)}{xyz}$

$ (x^2+y^2+z^2 )$

$ \frac{x^2y^2z^2}{x} $

3

16. The marked price of every item being sold by a wholesaler was ₹300. The wholesaler was offering a stock-clearance sale under which, for every three items paid for, one item was being given free. In addition to this, a further 10% discount on the amount payable on the ‘Buy 3, Get 1 free’ scheme price was being offered to anyone making purchases worth more than ₹10,000. Ramesh made purchases for which this amount payable was ₹18,000. What was the effective percentage discount that was offered to Ramesh during this transaction?

32%

31.5%

32.5%

32.75%

17. The average age of a group is increased by 4 years when a person of whose age is 32 years was replaced by a person whose age is 56. Find the number of people in the group

6

7

8

9

18. If $ mx^m -nx^n =0 $ then what is the value of $ \frac{1}{x^m+x^n} + \frac{1}{x^m-x^n} $ in terms of $x^n$ ?

$\frac{2mn}{x^n(n^2+m^2)} $

$\frac{2m}{x^n(m^2 - n^2)} $

$\frac{2mn}{x^n(n^2-m^2)} $

$\frac{2mn}{x^n(m^2 - n^2)} $

19. 70% of students in a class are girls and 70% of the girls have chosen soccer as their favourite sport. If 98 girls have chosen soccer as their favourite sport, what is the total number of students in the class?

180

225

175

200

20.

In city R, among the children, the ratio of boys to girls was 2 : 3 and in city P, among the children, the ratio of boys to girls was 5 : 4. What was the total number of girls (among the children) in city P and city R together?

6680

4160

6860

4610

21. A loan of ₹8,925 is to be paid back in two equal half-yearly instalments. How much is each instalment if the interest is compounded half-yearly at 8% per annum?

₹4,372

₹4,732

₹4,654

₹4,564

22. Ramesh drives from his home at a speed of 40 km/h and reaches his college 25 minutes late. The next day he increases his speed by 10 km/h, yet he is late by 10 minutes. How far is his college from his home?

50 km

55 km

45 km

60 km

23.

2 : 7

3 : 5

6 : 11

6 : 13

24. In a triangle ABC, if the three sides are a=5, b=7 and c=3, what is angle B?

1200

600

900

1500

25. In a class, there are 29 boys and 21 girls. The average score of boys in Maths is 89, whereas the average score of girls in maths is 91. What is the average of the whole class in maths?

91

89

91.84

89.84

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