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

Combined Higher Secondary Level Examination 2021 Tier I
Quantitative Aptitude
24/05/2022 12:30 PM - 1:30 PM

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

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1. If the volume of a cube is 27 $m^3$, find its surface arear (in $m^2$)

9

27

54

24

2. A trader marks his goods at 45% above the cost price. He offers a discount of 21% to his customers. What is his percentage profit (rounded off to the nearest integer)?

12%

18%

14%

15%

3. Which of the following numbers is divisible by 7?

3739

3661

3659

3915

4. A new mobile is introduced into the market and is marked at 25% above its original cost price. What discount should be given on the marked price to gain a profit of 20%?

2.50%

5%

4%

10%

5. If 2a + b = 10, 2ab = 9, and 2a > b, then find the value of 2a – b.

12

6

8

10

6. Find the mean proportion of 3 and 27.

5

10

6

9

7. Shovik purchases two types of sugar: the first type at Rs.45 per kg and the second type at Rs.80 per kg. In what ratio should Shovik blend the first type of sugar with the second type so that, by selling each kg of the blended sugar at Rs.72 per kg, he makes a profit of 20%?

4 : 3

5 : 4

3 : 4

3 : 2

8. Find the volume of a hemisphere whose diameter is 6 cm. (Take π=22/7)

144π $cm^3$

48π $cm^3$

18π $cm^3$

36π $cm^3$

9. The value of 11 ÷ [1 + 1 ÷ {1 + 1 ÷ (1 + 1 ÷ 3)}] is:

1

7

9

11

10. If a + b = 12 and ab = 35, find the value of $a^4 + b^4 – 103$?

2226

2026

2126

1226

11.

77 : 282

77 : 141

283 : 77

145 : 77

12.

33.3%

19.4%

54%

24.45%

13. Inside a triangle ABC, a straight line parallel to BC intersects AB and AC at the points P and Q, respectively. If AB = 6PB, then PQ ∶ BC is _________.

2 ∶ 6

3 : 4

5 ∶ 4

5 ∶ 6

14.

37.5%

66.6%

33.3%

62.5%

15.

3p – q

p + 2q

3p + 2q

2p + 2q

16. In a test, the average score of 50 students is 66. Out of the total students, 40% are girls and the rest are boys. The average score of the boys is 20% less than that of the girls. What is the average score of the girls?

70

80

75

65

17. If base radius and height of a cylinder are 4 cm and 5 cm, respectively, then find the curved surface area of the cylinder [use π = 3.14].

125.6 $cm^2$

138 $cm^2$

129.8 $cm^2$

119.6 $cm^2$

18. Sin (−A) = ?

Cos A

−Cos A

−Sin A

Sin A

19. The population of a village is 9,000. If the annual birth rate is 12.5% and the annual death rate is 2.5%, calculate the population after three years.

12256

11979

10959

10755

20. In an election between two candidates, Ravi gets 65% of total valid votes. If total votes were 6000, what is the number of valid votes that the other candidate Sushil gets, if 25% of total votes were invalid?

1775

1625

1575

1525

21. Find the average of the following data :

1, 2, 3, 5, 17, 21 and 28

13

11

9

12

22. A and B together can do a piece of work in 12 days, while A alone can complete the same work in 18 days. How long will B alone take to complete the work?

6 days

12 days

24 days

36 days

23. A man can row 5 km/h in still water. If the speed of the current is 2.5 km/h, it takes 4 hours more in upstream than in the downstream for the same distance. The distance is:

10.5 km

15 km

7.5 km

12 km

24. A man P purchased a land for ₹4,32,000 on the outskirts of a city. Due to some reason, its value depreciated at 25% per annum and he sold it to Q after 2 years. At this time, the city expanded and new projects of infrastructures started coming up. As a result of the expansion, there was an appreciation of real estate prices at the rate of 50%. What would be the value (in ₹) of the land after 2 years, from the time Q bought the land from P?

₹5,46,750

₹5,57,450

₹5,76,450

₹6,05,070

25. A shopkeeper marks up his goods by 30% and then gives a discount of 10% on the marked price. Apart from this, he uses a faulty balance which reads 1 kg for 870 g. What is his net profit percentage?

38.42%

34.84%

34.48%

38.24%

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