# SSC CHSL 2021 11th August Shift 3 - QA

**1. SSC CHSL 2021 11th August Shift 3 - QA | Triangles - SSC**

In △ABC, P and Q are the mid-points of the sides AB and AC, respectively. R is a point on the segment PQ such that PR : RQ = 1 : 3. If PR = 4 cm, then BC is equal to:

- A.
36 cm

- B.
28 cm

- C.
24 cm

- D.
32 cm

Answer: Option D

**Explanation** :

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**2. SSC CHSL 2021 11th August Shift 3 - QA | Trigonometry - SSC**

The value of $\frac{{\mathrm{cos}}^{2}89\xb0+{\mathrm{cos}}^{2}1\xb0}{\mathrm{cos}30\xb0\mathrm{sin}90\xb0-\mathrm{sin}30\xb0\mathrm{cos}90\xb0}$ is:

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

- B.
2$\sqrt{3}$

- C.
$\frac{1}{\sqrt{3}}$

- D.
$\frac{1}{1-\sqrt{3}}$

Answer: Option A

**Explanation** :

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**3. SSC CHSL 2021 11th August Shift 3 - QA | Tables & Graphs - SSC**

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

The chart represents the demand and production of leather bags by five companies U, V, X, Y and Z.

The difference between the average demand and average production of the five companies taken together is:

- A.
525

- B.
450

- C.
475

- D.
500

Answer: Option D

**Explanation** :

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**4. SSC CHSL 2021 11th August Shift 3 - QA | Number Theory - SSC**

The largest six-digit number exactly divisible by 243 is:

- A.
999943

- B.
999945

- C.
999947

- D.
999949

Answer: Option B

**Explanation** :

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**5. SSC CHSL 2021 11th August Shift 3 - QA | Tables & Graphs - SSC**

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

The chart represents the demand and production of leather bags by five companies U, V, X, Y and Z.

If h% of the demand of leather bags for company X equals the demand of the leather bags for company V, then h equals:

- A.
22

- B.
20

- C.
18

- D.
24

Answer: Option B

**Explanation** :

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**6. SSC CHSL 2021 11th August Shift 3 - QA | Ratio, Proportion & Variation - SSC**

A sum of ₹9,400 is divided between A, B and C such that the ratio of the shares of A and B is 4 : 3 and that of B and C is 5 : 4. What is the share of C?

- A.
₹2,600

- B.
₹2,200

- C.
₹2,000

- D.
₹2,400

Answer: Option D

**Explanation** :

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**7. SSC CHSL 2021 11th August Shift 3 - QA | Simple Equation - SSC**

If x = 555, y = 556 and z = 557, then find the value of x^{3} + y^{3} + z^{3} - 3xyz.

- A.
5006

- B.
5002

- C.
5008

- D.
5004

Answer: Option D

**Explanation** :

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**8. SSC CHSL 2021 11th August Shift 3 - QA | Average, Mixture & Alligation - SSC**

The average age of 35 persons is 40 years. 5 new persons with an average age of 35 years joined them. The average age of all the persons is:

- A.
39$\frac{3}{8}$ years

- B.
39$\frac{1}{8}$ years

- C.
39$\frac{7}{8}$ years

- D.
39$\frac{5}{8}$ years

Answer: Option A

**Explanation** :

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**9. SSC CHSL 2021 11th August Shift 3 - QA | Triangles - SSC**

The area of the largest triangle that can be inscribed in a semi-circle of radius 6 cm is:

- A.
36 cm

^{2} - B.
34 cm

^{2} - C.
35 cm

^{2} - D.
38 cm

^{2}

Answer: Option A

**Explanation** :

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**10. SSC CHSL 2021 11th August Shift 3 - QA | Trigonometry - SSC**

If 6 tan^{2} α - 2 = 0, (0 < a < 90°), then the value of α is:

- A.
30°

- B.
45°

- C.
15°

- D.
75°

Answer: Option A

**Explanation** :

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**11. SSC CHSL 2021 11th August Shift 3 - QA | Number Theory - SSC**

If a + 5b = 25 and ab = 20, then one of the values of (a - 5b) is:

- A.
15

- B.
14

- C.
16

- D.
13

Answer: Option A

**Explanation** :

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**12. SSC CHSL 2021 11th August Shift 3 - QA | Time & Work - SSC**

Varun and Gaurav can dig a pond in 10 days and 18 days. respectively. After finishing that work together, they receive an amount of ₹7,280. What is the share of Gaurav in that amount?

- A.
₹2,600

- B.
₹2,500

- C.
₹2,700

- D.
₹2,800

Answer: Option A

**Explanation** :

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**13. SSC CHSL 2021 11th August Shift 3 - QA | Percentage, Profit & Loss - SSC**

Ram sold plot for ₹6,55,000 at 20% loss. For what price should he sell the plot to gain 15% profit ?

- A.
₹7,41,562.50

- B.
₹6,41,562.50

- C.
₹8,41.562.50

- D.
₹9,41.562.50

Answer: Option D

**Explanation** :

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**14. SSC CHSL 2021 11th August Shift 3 - QA | Tables & Graphs - SSC**

**Study the given pie-chart and answer the question that follows.**

The pie-chart represents the percentage distribution of candidates qualified in a bank examination from six different districts of a State in 2016. The total number of qualified candidates from the State is 68000.

What is the difference (to the nearest whole number) between the average number of qualified students from the Districts A. C and F and the average number of qualified students from the Districts B, D and E?

- A.
906

- B.
910

- C.
900

- D.
907

Answer: Option D

**Explanation** :

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**15. SSC CHSL 2021 11th August Shift 3 - QA | Time, Speed & Distance - SSC**

Pawan travels from X to Y at the speed of 10 km/h, from Y to Z at 15 km/h and from Z to W at 20 km/h. If XY = YZ = ZW (in km), then the average speed of Pawan for the whole journey is:

- A.
13$\frac{10}{13}$ km/h

- B.
13$\frac{11}{13}$ km/h

- C.
13$\frac{8}{13}$ km/h

- D.
13$\frac{9}{13}$ km/h

Answer: Option B

**Explanation** :

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**16. SSC CHSL 2021 11th August Shift 3 - QA | Lines & Angles - SSC**

Line AC is a tangent to a circle at point B on it, and PQ is a chord of the circle such that BP = BQ. If ∠ABP = 64°, then find the measure of ∠PBQ.

- A.
58°

- B.
64°

- C.
52°

- D.
32°

Answer: Option C

**Explanation** :

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**17. SSC CHSL 2021 11th August Shift 3 - QA | Simple Equation - SSC**

The value of 364 - [142 - {75 + $\left(38-\overline{)\frac{5}{4}+\frac{14}{8}}\right)$}] is:

- A.
332

- B.
330

- C.
331

- D.
334

Answer: Option A

**Explanation** :

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**18. SSC CHSL 2021 11th August Shift 3 - QA | Percentage, Profit & Loss - SSC**

A shopkeeper marks his goods 25% above the cost price. Then, he allows a 40% discount on it. What is the percentage loss?

- A.
25%

- B.
15%

- C.
20%

- D.
30%

Answer: Option A

**Explanation** :

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**19. SSC CHSL 2021 11th August Shift 3 - QA | Trigonometry - SSC**

If sin α + cosec α = tan $\frac{\pi}{3}$, then the value of (sin^{3} α + cosec^{3} α) is equal to:

- A.
$\frac{1}{2}$

- B.
1

- C.
0

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

Answer: Option C

**Explanation** :

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**20. SSC CHSL 2021 11th August Shift 3 - QA | Tables & Graphs - SSC**

**Study the given pie chart and table and answer the question that follows.**

The pie chart represents the percentage wise distribution of 300 students of class X in a school in six different sections A, B, C, D, E and F.

The table shows the number of boys of class X in six different sections A, B, C, D, E and F.

If the total number of students in section C is 57, then the total number of girls in section C and D together will be:

- A.
36

- B.
46

- C.
48

- D.
40

Answer: Option B

**Explanation** :

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**21. SSC CHSL 2021 11th August Shift 3 - QA | Simple Equation - SSC**

If 3a - b = 1 and ab = 4, then thevalue of (9a^{2} - b^{2}) is:

- A.
7

- B.
8

- C.
5

- D.
6

Answer: Option A

**Explanation** :

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**22. SSC CHSL 2021 11th August Shift 3 - QA | Simple & Compound Interest - SSC**

In how much time will a sum of ₹5,000 invested at the rate of 15% simple interest per annum amount to ₹6,500?

- A.
2.5 years

- B.
1 year

- C.
1.5 years

- D.
2 years

Answer: Option D

**Explanation** :

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**23. SSC CHSL 2021 11th August Shift 3 - QA | Percentage, Profit & Loss - SSC**

The cost price of a chair is 21.800. Later, its cost price becomes 22,100. What is the percentage increase in the cost price of the chair?

- A.
16$\frac{5}{6}$%

- B.
16$\frac{2}{3}$%

- C.
16$\frac{1}{2}$%

- D.
16$\frac{1}{3}$%

Answer: Option B

**Explanation** :

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**24. SSC CHSL 2021 11th August Shift 3 - QA | Circles - SSC**

Two parallel chords are drawn in a circle of diameter 50 cm on the opposite sides of its centre. The length of one chord is 40 cm and the distance between the two chords is 22 cm. The length of the other chord is:

- A.
46 cm

- B.
50 cm

- C.
44 cm

- D.
48 cm

Answer: Option D

**Explanation** :

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**25. SSC CHSL 2021 11th August Shift 3 - QA | Coordinate Geometry - SSC**

The perimeter of a rectangle is 86 cm. The numbers representing its area and breadth are in the ratio of 9: 1, respectively. The breadth of the rectangle is:

- A.
32 cm

- B.
34 cm

- C.
36 cm

- D.
30 cm

Answer: Option B

**Explanation** :

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