# SSC CHSL 2021 10th August Shift 2 - QA

**1. SSC CHSL 2021 10th August Shift 2 - QA | Tables & Graphs - SSC**

Study the given graph and answer the question that follows.

31$\frac{1}{4}$% of the total number of vehicles of type A produced in 2013, 2015 and 2017 is equal to the number of vehicles of type B produced in the year:

- A.
2017

- B.
2018

- C.
2015

- D.
2016

Answer: Option D

**Explanation** :

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**2. SSC CHSL 2021 10th August Shift 2 - QA | Lines & Angles - SSC**

If S is a point on side QR ofa triangle PQR such that QS = 10 cm. QR = 18 cm and ∠PSR = ∠QPR, then the length of PR will be:

- A.
16 cm

- B.
12 cm

- C.
15 cm

- D.
14 cm

Answer: Option B

**Explanation** :

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**3. SSC CHSL 2021 10th August Shift 2 - QA | Percentage, Profit & Loss - SSC**

The marked price of a juicer mixer is ₹5,500, and three successive discounts of 40%, 30% and 20% are given on this marked price. The selling price of the juicer mixer is:

- A.
₹1,835

- B.
₹1,868

- C.
₹1,848

- D.
₹1,858

Answer: Option C

**Explanation** :

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**4. SSC CHSL 2021 10th August Shift 2 - QA | Ratio, Proportion & Variation - SSC**

In any triangle,if the angles are in the ratio 1 : 2 : 3, then what will be the ratio of the sides opposite to them?

- A.
1 : $\sqrt{3}$ : 1

- B.
1 : $\sqrt{3}$ : 2

- C.
2 : 2 : $\sqrt{3}$

- D.
2 : $\sqrt{3}$ : 1

Answer: Option B

**Explanation** :

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**5. SSC CHSL 2021 10th August Shift 2 - QA | Trigonometry - SSC**

If sin^{2} x - 3 cos^{2} x = 0, then the value of x(0 < x < 90°) is:

- A.
45°

- B.
30°

- C.
60°

- D.
15°

Answer: Option C

**Explanation** :

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**6. SSC CHSL 2021 10th August Shift 2 - QA | Simple Equation - SSC**

The value of $\sqrt{\mathrm{cos}60\xb0\mathrm{cos}30\xb0-\mathrm{sin}60\xb0\mathrm{sin}30\xb0}$ is:

- A.
$\frac{\sqrt{3}}{2}$

- B.
$\frac{1}{\sqrt{2}}$

- C.
0

- D.
1

Answer: Option C

**Explanation** :

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**7. SSC CHSL 2021 10th August Shift 2 - QA | Percentage, Profit & Loss - SSC**

In a workshop with 80 students and 10 resource persons, sweets were distributed at the end of the workshop. The amount spent for distributing sweets to each student was 30%of the total numberof students and amount spent towards each resource person was 40%of the total numberofstudents. The total amountspent for sweets distribution in the workshop was:

- A.
₹2,400

- B.
₹2,440

- C.
₹2,420

- D.
₹2,240

Answer: Option D

**Explanation** :

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**8. SSC CHSL 2021 10th August Shift 2 - QA | Lines & Angles - SSC**

In a circle with center O, P4 and PB aretangents to the circle at.4 and B, respectively, from an external point P. If, ∠AOB = 116° then whatis the measure of ∠OPB?

- A.
32°

- B.
90°

- C.
58°

- D.
30°

Answer: Option A

**Explanation** :

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**9. SSC CHSL 2021 10th August Shift 2 - QA | Tables & Graphs - SSC**

The histogram shows the marks scored by 40 students in a test with maximum 30 marks.

What is the percentage of the students who scored less than 20 marks?

- A.
50

- B.
25

- C.
87.5

- D.
62.5

Answer: Option D

**Explanation** :

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**10. SSC CHSL 2021 10th August Shift 2 - QA | Simple Equation - SSC**

If x + $\frac{1}{3}$x = 5, then the value of 27x^{3} + $\frac{1}{{x}^{3}}$ will be:

- A.
3240

- B.
3024

- C.
3042

- D.
3420

Answer: Option A

**Explanation** :

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**11. SSC CHSL 2021 10th August Shift 2 - QA | Simple & Compound Interest - SSC**

Find the compoundinterest (in ₹) on a sum of ₹7,500 for 4 years if the rate ofinterest is 20% per annum for the first two years and 10% per annum for the next two years.(The interest is compounded annually.)

- A.
5,658

- B.
5,586

- C.
6,558

- D.
5,568

Answer: Option D

**Explanation** :

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**12. SSC CHSL 2021 10th August Shift 2 - QA | Tables & Graphs - SSC**

**Study the given pie charts and answer the question that follows.**

The pie charts show the distribution of students of graduate and postgraduate levels in five different institutes P, Q, R, S and T in a town.

The difference between the average number of students of graduate level in institutes P, R and T to the average number of students of postgraduate level in institutes P, R and is:

- A.
425

- B.
426

- C.
328

- D.
428

Answer: Option D

**Explanation** :

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**13. SSC CHSL 2021 10th August Shift 2 - QA | Time & Work - SSC**

15 persons working 6 hours per day earn ₹900. How much money will 20 persons earn, working 10 hours per day?

- A.
₹1,800

- B.
₹1,500

- C.
₹2,000

- D.
₹2,100

Answer: Option C

**Explanation** :

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**14. SSC CHSL 2021 10th August Shift 2 - QA | Average, Mixture & Alligation - SSC**

x, y and z are three positive numbers such that y is $\frac{4}{5}$ times of x and z is $\frac{5}{8}$ times of y. If the average of reciprocals of the numbers x, y and z is $\frac{17}{240}$, then the average of 3 times of x and 5 times of y will be:

- A.
70

- B.
60

- C.
40

- D.
45

Answer: Option A

**Explanation** :

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**15. SSC CHSL 2021 10th August Shift 2 - QA | Simple Equation - SSC**

If 2x + 3y + 4z = 11, 8x^{3} + 27y^{3} + 64z^{3} = 105 and xyz = 1, then the value 4x^{2} + 9y^{2} + 16z^{2} - 6xy - 12yz - 8xz is:

- A.
3

- B.
4

- C.
5

- D.
6

Answer: Option A

**Explanation** :

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**16. SSC CHSL 2021 10th August Shift 2 - QA | Simple Equation - SSC**

If 1 + 4x^{2} + 16x^{4} = 512, and 1 - 2x + 4x^{2} = 64, then the value of 1 + 2x + 4x^{2} is:

- A.
6

- B.
8

- C.
12

- D.
10

Answer: Option B

**Explanation** :

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**17. SSC CHSL 2021 10th August Shift 2 - QA | Time, Speed & Distance - SSC**

With a speed of 48 kn/h. Raghuis able to complete his journey in 2 hours 28 minutes. If he wants to cover the same distance in 1 hour 36 minutes, then what should be his new speed?

- A.
72 km/h

- B.
64 km/h

- C.
66 km/h

- D.
74 km/h

Answer: Option D

**Explanation** :

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**18. SSC CHSL 2021 10th August Shift 2 - QA | Coordinate Geometry - SSC**

The sum of the squares of the sides of a rhombusis 1600 cm . What is the side of the rhombus?

- A.
15 cm

- B.
20 cm

- C.
25 cm

- D.
10 cm

Answer: Option B

**Explanation** :

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**19. SSC CHSL 2021 10th August Shift 2 - QA | Coordinate Geometry - SSC**

If the length of a chord of a circle, that makes an angle of with the tangent drawnat one end point of the chord, is 83 cm, then the radius of the circle will be:

- A.
8 cm

- B.
5 cm

- C.
6 cm

- D.
7 cm

Answer: Option A

**Explanation** :

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**20. SSC CHSL 2021 10th August Shift 2 - QA | Triangles - SSC**

The sides of a triangle are in the ratio $\frac{1}{3}$ : $\frac{1}{5}$ : $\frac{1}{4}$ and its perimeter is 141 cm. The difference between the greatest side and the smallest side is:

- A.
18 cm

- B.
15 cm

- C.
12 cm

- D.
24 cm

Answer: Option D

**Explanation** :

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**21. SSC CHSL 2021 10th August Shift 2 - QA | Trigonometry - SSC**

If $\frac{5cot\theta +\sqrt{3}\mathrm{cos}ec\theta}{2\sqrt{3}\mathrm{cos}ec\theta +3cot\theta}$ = 1, 0° < θ < 90° then the value of $\frac{{\displaystyle \frac{7}{2}}{\mathrm{cot}}^{2}\mathrm{\theta}-{\displaystyle \frac{3}{4}}{\mathrm{cosec}}^{2}\mathrm{\theta}}{4{\mathrm{sin}}^{2}\mathrm{\theta}+{\displaystyle \frac{3}{2}}{\mathrm{tan}}^{2}\mathrm{\theta}}$ will be:

- A.
7

- B.
2

- C.
3

- D.
5

Answer: Option D

**Explanation** :

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**22. SSC CHSL 2021 10th August Shift 2 - QA | Percentage, Profit & Loss - SSC**

Gaurav bought some articles at 5 for ₹6 and sold them at 10 for ₹11. His loss percentage is:

- A.
8$\frac{1}{3}$%

- B.
7$\frac{1}{3}$%

- C.
7$\frac{2}{3}$%

- D.
8$\frac{2}{3}$%

Answer: Option A

**Explanation** :

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**23. SSC CHSL 2021 10th August Shift 2 - QA | Number Theory - SSC**

If the number 44306768B2 is divisible by both 8 and 11, then the smallest possible values of A and will be:

- A.
A = 5, B = 3

- B.
A = 3, B = 5

- C.
A = 5, B = 2

- D.
A = 5, B = 4

Answer: Option A

**Explanation** :

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**24. SSC CHSL 2021 10th August Shift 2 - QA | Tables & Graphs - SSC**

**Study the following graph and answer the question that follows.**

Number of students that appeared and qualified, from various colleges, at a scholarship examination.

What is the ratio of the number of students that appeared to the number of students that qualified at the scholarship examination from College X?

- A.
5 : 4

- B.
5 : 2

- C.
4 : 3

- D.
5 : 3

Answer: Option D

**Explanation** :

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**25. SSC CHSL 2021 10th August Shift 2 - QA | Simple Equation - SSC**

The value of $\frac{284}{5}$ ÷ [($\frac{4}{5}$) × (15 + 35) - 11$\frac{3}{5}$] is:

- A.
2

- B.
1

- C.
0

- D.
3

Answer: Option A

**Explanation** :

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