# SSC CHSL 2021 11th August Shift 1 - QA

**1. SSC CHSL 2021 11th August Shift 1 - QA | Simple Equation - SSC**

If x^{4} + x^{-4} = 47, x > 0, then the value of (2x - 3)^{2} is:

- A.
9

- B.
3

- C.
5

- D.
7

Answer: Option C

**Explanation** :

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**2. SSC CHSL 2021 11th August Shift 1 - QA | Trigonometry - SSC**

The value of $\frac{sec\theta \mathrm{cos}ec\theta}{2+{\mathrm{tan}}^{2}\theta +co{t}^{2}\theta}$ is equal to:

- A.
sec θ cosec θ

- B.
sec θ sin θ

- C.
sin θ cos θ

- D.
cos θ cosec θ

Answer: Option C

**Explanation** :

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

A 9-cm-long perpendicular is drawn from the centre of circle to a chord of length 24 cm. The radius of the circle is:

- A.
20 cm

- B.
15 cm

- C.
12 cm

- D.
18 cm

Answer: Option B

**Explanation** :

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**4. SSC CHSL 2021 11th August Shift 1 - QA | Coordinate Geometry - SSC**

If O is the centroid and RP is the median with length 24 cm of △RST, where is a point on ST, then the value of RO is:

- A.
18 cm

- B.
14 cm

- C.
20 cm

- D.
16 cm

Answer: Option D

**Explanation** :

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

When an article is sold for ₹438,there is a loss of 27%. To gain 23%, it should be sold for ₹ x. What is the value of x?

- A.
₹600

- B.
₹837

- C.
₹678

- D.
₹738

Answer: Option D

**Explanation** :

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**6. SSC CHSL 2021 11th August Shift 1 - QA | Coordinate Geometry - SSC**

How many bricks each measuring 64 cm 11.25 cm 6 cm, will be needed to build a wall measuring 8 m 3 m 22.5 m?

- A.
200000

- B.
250000

- C.
67500

- D.
125000

Answer: Option D

**Explanation** :

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**7. SSC CHSL 2021 11th August Shift 1 - QA | Tables & Graphs - SSC**

**Study the table and answer the question that follows:**

In the given table, production of five different types of machines (A, B, C, D, E) in the years from 2016 to 2020 (in thousands) is given.

What is the ratio of the total production of type A machines in 2018 and type E machines in 2019 to the total production of type C and type D machines in 2016?

- A.
2 : 5

- B.
5 : 2

- C.
4 : 3

- D.
3 : 4

Answer: Option C

**Explanation** :

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**8. SSC CHSL 2021 11th August Shift 1 - QA | Tables & Graphs - SSC**

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

The bar graph indicates the production of sugar (in lakh tonnes) by three different sugar companies P, Q and R over the years 2015 to 2019.

By what percentage is the total production of sugar by company P from the year 2015 to 2019 more than the total production of sugar by company R from the year 2015 to 2019?

- A.
18%

- B.
18.5%

- C.
20%

- D.
15%

Answer: Option C

**Explanation** :

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**9. SSC CHSL 2021 11th August Shift 1 - QA | Simple Equation - SSC**

If a^{2} + b^{2} + c^{2} + 48 = 8(a + b + c), then what is the value of $\sqrt[3]{{a}^{3}-{b}^{3}+{c}^{3}}$?

- A.
6

- B.
4

- C.
3

- D.
2

Answer: Option B

**Explanation** :

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**10. SSC CHSL 2021 11th August Shift 1 - QA | Simple & Compound Interest - SSC**

The difference between the simple interest on a fixed amount for 7 years and on the same amount for 12 years is ₹2,500. If the rate of interest is 10% p.a., then the amount is:

- A.
₹6,000

- B.
₹5,000

- C.
₹4,500

- D.
₹5,500

Answer: Option B

**Explanation** :

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

If 3 sin^{2} A + 4 cos^{2} A - 3 = 0, then the value of cot A (where 0 ≤ A ≤ 90°) is:

- A.
∞

- B.
0

- C.
1

- D.
not defined

Answer: Option B

**Explanation** :

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**12. SSC CHSL 2021 11th August Shift 1 - QA | Time, Speed & Distance - SSC**

A bus covered 360 km in 6 hours. If it travels at one-fourth of its usual speed, then how much more time will it take to cover the same distance?

- A.
18 hours

- B.
14 hours

- C.
12 hours

- D.
16 hours

Answer: Option A

**Explanation** :

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

Mohan's income is 40% more than Shyam's income. Shyam's income is what percentage less than Mohan's income?

- A.
28$\frac{2}{7}$%

- B.
28$\frac{5}{7}$%

- C.
28$\frac{3}{7}$%

- D.
28$\frac{4}{7}$%

Answer: Option D

**Explanation** :

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**14. SSC CHSL 2021 11th August Shift 1 - QA | Coordinate Geometry - SSC**

From a point P, which is at a distance of 13 cm from the centre O of a circle, a pair of tangents PQ and PR of length 12 cm are drawn to the circle. The area of the quadrilateral PQOR (in cm^{2}) is:

- A.
50

- B.
76

- C.
80

- D.
60

Answer: Option D

**Explanation** :

Workspace:

**15. SSC CHSL 2021 11th August Shift 1 - QA | Time & Work - SSC**

X can complete half of the work in 20 days and Y can do one-fifth of the same work in 10 days. X started the work and left after 8 days. Then Y took over to complete the remaining work. The total number of days taken by them to complete the work is:

- A.
60 days

- B.
40 days

- C.
50 days

- D.
48 days

Answer: Option D

**Explanation** :

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**16. SSC CHSL 2021 11th August Shift 1 - QA | Simple Equation - SSC**

If 3x + 5y = 14 and xy = 6, then what is the value of 9x^{2} + 25y^{2}?

- A.
16

- B.
14

- C.
20

- D.
182

Answer: Option A

**Explanation** :

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**17. SSC CHSL 2021 11th August Shift 1 - QA | Average, Mixture & Alligation - SSC**

A batsman in his 13^{th} inning makes a score of 97 runs, there by increasing his average score by 5. What is his average score after the 13^{th }inning?

- A.
37

- B.
77

- C.
67

- D.
57

Answer: Option A

**Explanation** :

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**18. SSC CHSL 2021 11th August Shift 1 - QA | Ratio, Proportion & Variation - SSC**

Two numbers are in the ratio of 7 : 4. If each number is increased by 12, then the ratio becomes 3 : 2. The sum of the numbers is:

- A.
60

- B.
66

- C.
68

- D.
56

Answer: Option B

**Explanation** :

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

The marked price of an article is ₹660. A shopkeeper allows a discount of 20% and still gets a profit of 10%. If he sells it for ₹470, his profit or loss per cent, correct to two decimal places will be:

- A.
Profit 3.06%

- B.
Loss 5.43%

- C.
Profit 7.59%

- D.
Loss 2.08%

Answer: Option D

**Explanation** :

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

If △ABC ~ △QPR, $\frac{ar(\u25b3ABC)}{ar(\u25b3PQR)}$ = $\frac{4}{9}$, AC = 18 cm and BC = 10 cm, then PR (in cm) is equal to:

- A.
8

- B.
10

- C.
15

- D.
18

Answer: Option C

**Explanation** :

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**21. SSC CHSL 2021 11th August Shift 1 - QA | Trigonometry - SSC**

The value of $\left[\frac{{\mathrm{sin}}^{2}27\xb0+{\mathrm{sin}}^{2}63\xb0}{{\mathrm{cos}}^{2}24\xb0+{\mathrm{cos}}^{2}66\xb0}-{\mathrm{sin}}^{2}69\xb0-\mathrm{cos}69\xb0\mathrm{sin}21\xb0\right]$ is:

- A.
3

- B.
2

- C.
0

- D.
1

Answer: Option C

**Explanation** :

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**22. SSC CHSL 2021 11th August Shift 1 - QA | Tables & Graphs - SSC**

Study the given graph and answer the question that follows.

If the Interest on Loans amounted to 24.50 crores, then the total expenditure on Advertisement, Taxes, Research & Development and Salary is:

- A.
₹34 crores

- B.
₹30 crores

- C.
₹32 crores

- D.
₹36 crores

Answer: Option D

**Explanation** :

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**23. SSC CHSL 2021 11th August Shift 1 - QA | Simple Equation - SSC**

The value of 4 × 3 ÷ 2 of 3 × 2 ÷ (4 + 5 × 4 ÷ 4 of 5 − 4 ÷ 4 × 4) is:

- A.
4

- B.
3

- C.
6

- D.
2

Answer: Option A

**Explanation** :

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**24. SSC CHSL 2021 11th August Shift 1 - QA | Number Theory - SSC**

When a number is divided by 3, the remainder is 2. Again, when the quotient is divided by 7, the remainder is 5. What will be the remainder when the original number is divided by 21?

- A.
14

- B.
13

- C.
17

- D.
16

Answer: Option C

**Explanation** :

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**25. SSC CHSL 2021 11th August Shift 1 - QA | Tables & Graphs - SSC**

Study the given graph and answer the question that follows.

By what percentage is the average export of sugar in 2016, 2017 and 2018 less than the production in 2017?

- A.
25.8%

- B.
29%

- C.
22.5%

- D.
20%

Answer: Option C

**Explanation** :

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