# SSC CHSL 2021 11th August Shift 2 - QA

**1. SSC CHSL 2021 11th August Shift 2 - QA | Percentage, Profit & Loss - SSC**

Vijay bought a fridge and a washing machine together for ₹38,200. He sold the fridge at a profit of 15% and washing machine at a loss of 24% and both are sold at the same price. The cost price of the washing machine is:

- A.
₹26,000

- B.
₹24,000

- C.
₹23,000

- D.
₹22,000

Answer: Option C

**Explanation** :

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

Solve for θ : 3 cosec θ + 4 sin θ - 4$\sqrt{3}$ = 0, where θ is an acute angle

- A.
45°

- B.
30°

- C.
60°

- D.
15°

Answer: Option C

**Explanation** :

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**3. SSC CHSL 2021 11th 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.

The number of students that appeared for the scholarship exam from College X is what percentage of the total number of students that appeared for the exam from all the colleges together?

- A.
20

- B.
30

- C.
25

- D.
35

Answer: Option C

**Explanation** :

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**4. SSC CHSL 2021 11th August Shift 2 - QA | Tables & Graphs - SSC**

The given bar graph shows the production of table fans in a factory during one week. Study the bar graph and answer the question that follows.

The average production of table fans from Monday to Wednesday is approximately what percentage more than the average production of table fans from Thursday to Saturday?

(correct to one decimal place)

- A.
25$

- B.
28%

- C.
27.5%

- D.
26.7%

Answer: Option D

**Explanation** :

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**5. SSC CHSL 2021 11th August Shift 2 - QA | Simple Equation - SSC**

If the volume of a sphere is 697$\frac{4}{21}$ cm^{3}, then its radius is:

(Take π = $\frac{22}{7}$)

- A.
6 cm

- B.
5 cm

- C.
4.5 cm

- D.
5.5 cm

Answer: Option D

**Explanation** :

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**6. SSC CHSL 2021 11th August Shift 2 - QA | Simple Equation - SSC**

x, y are two positive numbers such that x > y. If x^{4} + y^{4} = 706 and xy = 15, then the value of 2x + 3y is:

- A.
19

- B.
20

- C.
18

- D.
15

Answer: Option A

**Explanation** :

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**7. SSC CHSL 2021 11th August Shift 2 - QA | Percentage, Profit & Loss - SSC**

The marked price of an article is ₹1,360. If a shopkeeper sold the article at 15% loss after giving 25% discount, then the cost price of the article is:

- A.
₹1,200

- B.
₹1,600

- C.
₹1,400

- D.
₹1,500

Answer: Option A

**Explanation** :

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**8. SSC CHSL 2021 11th August Shift 2 - QA | Time & Work - SSC**

A completes 20% of a work in 5 days and B completes one-third of the work in 5 days. They began the work together but B leaves after 3 days. The total number of days needed for completion of the work is:

- A.
18

- B.
24

- C.
20

- D.
30

Answer: Option C

**Explanation** :

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**9. SSC CHSL 2021 11th August Shift 2 - QA | Circles - SSC**

If the radius of a circle is equal to a diagonal of a square whose area is 12 cm^{2}, then the area of the circle is:

- A.
28π cm

^{2} - B.
32π cm

^{2} - C.
24π cm

^{2} - D.
36π cm

^{2}

Answer: Option C

**Explanation** :

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**10. SSC CHSL 2021 11th August Shift 2 - QA | Tables & Graphs - SSC**

Study the given bar graph which shows the life time (in hours) of neon lamps and the number of neon lamps and answer the question that follows.

The number of neon lamps having life 500 hours or more but less than 700 hours is what percent of the total number of neon lamp shaving life 800 hours or more?

- A.
57.75%

- B.
61.55%

- C.
56.25%

- D.
51.85%

Answer: Option C

**Explanation** :

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**11. SSC CHSL 2021 11th August Shift 2 - QA | Percentage, Profit & Loss - SSC**

A, B and C are three positive numbers such that A is 70% of B, and B is 40% of C. If the sum of all three numbers is 336, then 15% of the sum of B and is:

- A.
42

- B.
44

- C.
48

- D.
32

Answer: Option A

**Explanation** :

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**12. SSC CHSL 2021 11th August Shift 2 - QA | Number Theory - SSC**

The smallest six-digit numberthat is exactly divisible by 53 is:

- A.
100011

- B.
100042

- C.
100008

- D.
100064

Answer: Option A

**Explanation** :

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**13. SSC CHSL 2021 11th August Shift 2 - QA | Tables & Graphs - SSC**

A soft drink company prepares drinks of three different flavours — A. B and C. The production of the three flavours over a period of five years from 2010 to 2014 has been expressed in the given bar graph. Study the graph and answer the question that follows.

Production of three different flavours A, B and (in lakh bottles) by a company over five years.

What was the approximate percentage decline in the production of flavour A in 2013 as compared to the production of flavour A in 2011?

- A.
30%

- B.
24%

- C.
20%

- D.
25%

Answer: Option D

**Explanation** :

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**14. SSC CHSL 2021 11th August Shift 2 - QA | Average, Mixture & Alligation - SSC**

A, B and C are three positive numbers such that the average of three-fifth of A and 30% of B is 13.5, and the average of times $\frac{3}{8}$ of B and 25% of C is 15. If A is equal to $\frac{5}{12}$ times of C, then the sum of all three numbers A, B and is:

- A.
125

- B.
135

- C.
145

- D.
120

Answer: Option A

**Explanation** :

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**15. SSC CHSL 2021 11th August Shift 2 - QA | Triangles - SSC**

In a triangle ABC,the length of side AC is 4 cm less than five times the length of side AB. The length of side BC exceeds four times the length of side AB by 4 cm.If the perimeter of △ABC is 90 cm, then its area is:

- A.
160 cm

^{2} - B.
164 cm

^{2} - C.
180 cm

^{2} - D.
148 cm

^{2}

Answer: Option C

**Explanation** :

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**16. SSC CHSL 2021 11th August Shift 2 - QA | Simple Equation - SSC**

If a - $\frac{24}{a}$ = 5, where a > 0, then the value of a^{2} + $\frac{64}{{a}^{2}}$ is:

- A.
45

- B.
56

- C.
60

- D.
65

Answer: Option D

**Explanation** :

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**17. SSC CHSL 2021 11th August Shift 2 - QA | Simple Equation - SSC**

If a - b = 7 and a^{2} + b^{2} + 169 where a, b > 0, then the value of 3a + b is:

- A.
44

- B.
41

- C.
38

- D.
46

Answer: Option B

**Explanation** :

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

If cot A + cosec A = 2 and A is an acute angle, then the value of $\frac{9\mathrm{tan}A+16\mathrm{cos}ecA}{5\mathrm{sin}A+3\mathrm{tan}A}$ is:

- A.
3

- B.
6

- C.
4

- D.
8

Answer: Option C

**Explanation** :

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**19. SSC CHSL 2021 11th August Shift 2 - QA | Ratio, Proportion & Variation - SSC**

A sum of money is distributed among A, B, C and in the ratio 5: 7: 11 : 15, respectively. If C gets ₹2,480 more than B, then the difference between the shares of B and is:

- A.
₹6,490

- B.
₹4,950

- C.
₹4,690

- D.
₹4,960

Answer: Option D

**Explanation** :

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

A certain sum of money amounts to ₹9,766 in 3 years at simple interest at R% per annum and to ₹10,849 in 4$\frac{1}{2}$ years at the same rate of simple interest. The value of R is:

- A.
8

- B.
9

- C.
9.5

- D.
8.5

Answer: Option C

**Explanation** :

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**21. SSC CHSL 2021 11th August Shift 2 - QA | Time, Speed & Distance - SSC**

Ajit Singh left from place P at 9.30 a.m. for place Q. and David Raj left place Q at 1.30 p.m. for place P. The distance between them is 416 km. If Ajit Singh’s speed is 44 km/h and David Raj’s speed is 52 km/h, then at what time will they meet each other?

- A.
4.30 p.m.

- B.
5 p.m.

- C.
6 p.m.

- D.
4 p.m.

Answer: Option D

**Explanation** :

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**22. SSC CHSL 2021 11th August Shift 2 - QA | Triangles - SSC**

The sum of three sides of an isosceles triangle is 20 cm, and the ratio of an equal side to the base is 3 : 4. The altitude of the triangle is:

- A.
3$\sqrt{3}$ cm

- B.
3$\sqrt{5}$ cm

- C.
4$\sqrt{5}$ cm

- D.
2$\sqrt{5}$ cm

Answer: Option D

**Explanation** :

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**23. SSC CHSL 2021 11th August Shift 2 - QA | Simple Equation - SSC**

The value of 441 ÷ [270 ÷ $\frac{3}{7}$ of 35 + (17 ÷ $\frac{1}{3}$) - (8$\frac{1}{2}$ - $\frac{5}{2}$)] is:

- A.
7

- B.
21

- C.
11

- D.
14

Answer: Option A

**Explanation** :

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

If cot^{3} θ + cot^{3} θ = 2, then the value of 2 sin^{4} θ + sin^{2} θ is:

- A.
3

- B.
5

- C.
1

- D.
2

Answer: Option C

**Explanation** :

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**25. SSC CHSL 2021 11th August Shift 2 - QA | Circles - SSC**

A, B and C are three points on a circle whose centre is O. If angle BOC is equal to 124°, then what is the value (in degrees) of angle BAC?

- A.
72

- B.
62

- C.
66

- D.
34

Answer: Option B

**Explanation** :

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