Quantitative Aptitude | SSC CHSL 2021 TIER I QUESTION PAPER | 24 MAY 2021 EVENING SHIFT

Combined Higher Secondary Level Examination 2021 Tier I
Quantitative Aptitude
24/05/2022 4:00 PM - 5:00 PM

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

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1. The value of $ (4^3+4) \div [5^2-(7^2-41)] $ is :

8

17

5

4

2. The fourth proportional to the numbers 5, 6 and 8 is:

9.8

9.6

9

9.5

3. To pack a set of books, Gautam got cartons of a certain height that were 48 inches long and 27 inches wide. If the volume of such a carton was 22.5 cubic feet, what was the height of each carton? [Use 1 foot = 12 inches.]

36 inches

32.5 inches

30 inches

32 inches

4. 5 kg of ₹18 per kg wheat is mixed with 2 kg of another type of wheat to get a mixture costing ₹20 per kg. Find the price (per kg) of the costlier wheat.

₹27

₹25

₹29

₹30

5. If $cot75^{\circ} = 2- \sqrt{3} $. Find the value of $ cot15^{\circ} $ .

$ 2 - \sqrt{3} $

$ 2 + \sqrt{3} $

$ \sqrt{3} + 1 $

$ \sqrt{3} - 1 $

6. In a government scheme, if an electricity bill is paid before the due date, one gets a reduction of 5% on the amount of the bill. By paying the bill before the due date, a person got a reduction of ₹20. The amount of his electricity bill was:

₹440

₹400

₹520

₹420

7. A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price to the printed price is:

38 : 55

45 : 56

55 : 38

56 : 45

8. A thief was spotted by a policeman from a distance of 225 metres. When the policeman started the chase, the thief also started running. If the speed of the thief was 11 km/h and that of the policeman was 13 km/h, how far would the thief have run, before the policeman caught up with him?

1237.5 metres

1137.5 metres

1357.5 metres

1256.5 metres

9. Which of the following is divisible by 3?

7345932

5439763

3642589

3262735

10. At a certain rate of interest compounded annually, a sum amounts to ₹10,890 in 2 years and to ₹11,979 in 3 years. The sum is:

₹9,000

₹8,000

₹8,500

₹9,500

11.

4 : 5

25 : 23

23 : 25

5 : 4

12.

20

10

6

12

13. In a class, there are 39 students and their average weight is 51 kg. If we include the weight of the teacher, then the average weight becomes 51.2 kg. What is the weight of the teacher?

53 kg

59 kg

57 kg

51 kg

14. A sum of money becomes ₹ 3,364 at a rate of 16% compounded annually for 2 years. The sum of money is:

₹2,500

₹1,800

₹3,800

₹2,200

15. If the surface area of a sphere is 1386 cm2, then find the radius of the sphere.

12.5 cm

10.5 cm

10 cm

12 cm

16. If the numerator of a fraction be increased by 50% and its denominator be diminished by 28%, the value of the fraction is $\frac{25}{36}$. Find the original fraction.

$\frac{1}{5}$

$\frac{2}{3}$

$\frac{2}{5}$

$\frac{1}{3}$

17. Simplify $(957 + 932)^2 - 4 × 957 × 932$

576

676

529

625

18. If the surface area of a sphere is 64 π $cm^2$,then the volume of the sphere is:

$\frac{241}{3} \pi cm^3 $

$\frac{251}{5} \pi cm^3 $

$\frac{226}{3} \pi cm^3 $

$\frac{256}{3} \pi cm^3 $

19. On reducing the marked price of his goods by ₹28, a shopkeeper gains 20%. If the cost price of the article be ₹560 and it is sold at the marked price, what will be the gain per cent?

30%

25%

20%

15%

20. If $ x+ \frac{1}{x} = -2 \sqrt{3}$, what is the value of $ x^5 + \frac{1}{x^5}$ =?

$ -178 \sqrt{3} $

$ -182 \sqrt{3} $

$ 182 \sqrt{3} $

$ -180 \sqrt{3} $

21. Avi and Bindu can complete a project in four and twelve hours, respectively. Avi begins project at 5 a.m., and they work alternately for one hour each. When will the project be completed?

9 a.m.

11 a.m.

1 p.m.

10 a.m.

22. Two circles having radii 12 cm and 8 cm, respectively, touch each other externally. A common tangent is drawn to these circles which touch the circles at M and N, respectively. What is the length (in cm) of MN?

$ 8 \sqrt{8} $

$ 8 \sqrt{6} $

$ 6 \sqrt{8} $

$ 6 \sqrt{6} $

23. If $a+b = 27$ and $a^3+8b^3 = 5427$, then find the value of $2ab$ .

176

156

172

149

24. The following table gives the sales of an electronic chip over 5 years. Find the year in which the sales are equal to the average of the sales over the 5 years.

Year	2015	2016	2017	2018	2019
Sales (in thousands of rupees)	45	54	57	60	69

2018

2015

2017

2016

25. In an election between two candidates, 80% of the eligible voters cast their votes, 5% of the votes cast were declared invalid. A candidate got 10545 votes, which were 75% of the total valid votes. Find the total number of eligible voters.

17800

18500

18250

18000

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