# SSC CHSL 2021 9th August Shift 1 - QA

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

If 71^{83} + 73^{83} is divided by 36, the remainder is:

- A.
0

- B.
8

- C.
9

- D.
13

Answer: Option A

**Explanation** :

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**2. SSC CHSL 2021 9th August Shift 1 - QA | Percentage, Profit & Loss - SSC**

A shopkeeper marks his goods at a price such that after giving a discount of 20%, he gains 25%. If the costprice of the article is ₹560, what will be its marked price (in ₹)?

- A.
914

- B.
875

- C.
856

- D.
765

Answer: Option B

**Explanation** :

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**3. SSC CHSL 2021 9th August Shift 1 - QA | Trigonometry - SSC**

If $\frac{cot\theta +\mathrm{cos}\theta}{cot\theta -\mathrm{cos}\theta}$ = $\frac{k+1}{1-k}$, k ≠ 1, then k is equal to:

- A.
sin θ

- B.
cosec θ

- C.
cos θ

- D.
sec θ

Answer: Option A

**Explanation** :

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**4. SSC CHSL 2021 9th August Shift 1 - QA | Tables & Graphs - SSC**

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

What is the ratio of the boys taken together in colleges A, B and C to the girls taken together in all 5 colleges?

- A.
35 : 61

- B.
33 : 56

- C.
37 : 59

- D.
31 : 56

Answer: Option B

**Explanation** :

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**5. SSC CHSL 2021 9th August Shift 1 - QA | Time & Work - SSC**

40 persons take 6 days to complete a certain task, working 10 hours a day. How manyhours a day will be sufficient for 30 persons to complete the same task in 10 days?

- A.
9

- B.
8

- C.
10

- D.
6

Answer: Option B

**Explanation** :

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**6. SSC CHSL 2021 9th August Shift 1 - QA | Trigonometry - SSC**

If $\sqrt{13}$ sin θ = 2, then the value of $\frac{3\mathrm{tan}\theta +\sqrt{13}\mathrm{sin}\theta}{\sqrt{13}\mathrm{cos}\theta -3\mathrm{tan}\theta}$ is:

- A.
5

- B.
4

- C.
3

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

Answer: Option B

**Explanation** :

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**7. SSC CHSL 2021 9th August Shift 1 - QA | Trigonometry - SSC**

If cos^{2} θ - sin^{2} θ - 3 cos θ + 2 = 0, 0° < θ < 90°, then what will be the value of sec θ - cos θ?

- A.
$\frac{4}{3}$

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

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

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

Answer: Option C

**Explanation** :

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

If x + 2y = 19 and x^{3} + 8y3 = 361, then xy is equal to:

- A.
57

- B.
56

- C.
55

- D.
58

Answer: Option A

**Explanation** :

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**9. SSC CHSL 2021 9th August Shift 1 - QA | Lines & Angles - SSC**

The perimeter of a right-angled triangle whose sides that make right angles are 15 cm and 20 cm is:

- A.
60 cm

- B.
50 cm

- C.
70 cm

- D.
40 cm

Answer: Option A

**Explanation** :

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**10. SSC CHSL 2021 9th August Shift 1 - QA | Simple & Compound Interest - SSC**

The compound interest on a certain sum of money for 3 years, compounded annually, at a rate of interest of 10% per annum is ₹1,324. The sum is:

- A.
₹5,500

- B.
₹4,500

- C.
₹4,000

- D.
₹5,000

Answer: Option C

**Explanation** :

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**11. SSC CHSL 2021 9th August Shift 1 - QA | Tables & Graphs - SSC**

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

The pie charts represent the distribution of candidates who were enrolled for Bank Clerical Examination Fig (i) and the candidates(out of those enrolled) who passed the examination Fig(ii) in five different institutes P, Q, R, S and T.

__(I) Total number of candidates enrolled in five different institutes = 5500__

__(I) Total number of candidates who passed the examination from five institutes = 3300__

The percentage of the candidates who passed to the number of candidates enrolled for institutes P and T together is:

- A.
54%

- B.
51%

- C.
50%

- D.
52%

Answer: Option B

**Explanation** :

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**12. SSC CHSL 2021 9th August Shift 1 - QA | Tables & Graphs - SSC**

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

In which year was the percentage increase in production as compared to the previous year, the maximum?

- A.
2002

- B.
2005

- C.
2007

- D.
2008

Answer: Option A

**Explanation** :

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**13. SSC CHSL 2021 9th August Shift 1 - QA | Percentage, Profit & Loss - SSC**

X sells an article to Y at 12%loss. Y sells it to Z at 9% profit. If Z pays ₹21,582 forit, then at whatprice (in ₹) was the article purchased by X?

- A.
19,800

- B.
23,275

- C.
22,500

- D.
21,000

Answer: Option C

**Explanation** :

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

If (3x + 2y)^{3} + (3x - 2y)^{3} = 3kx(3x^{2} + 4y^{2}), then the value of k will be:

- A.
18

- B.
9

- C.
3

- D.
6

Answer: Option D

**Explanation** :

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**15. SSC CHSL 2021 9th August Shift 1 - QA | Simplification - SSC**

The value of 42 ÷ 10 - $\left(\frac{7}{4}\times \frac{1}{3}\right)$ of $\frac{6}{5}$ + $\frac{16}{3}$ × $\frac{9}{10}$ - $\left(\frac{1}{6}\xf7\frac{1}{36}\right)$ is:

- A.
1.7

- B.
2.9

- C.
1.5

- D.
2.3

Answer: Option D

**Explanation** :

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**16. SSC CHSL 2021 9th August Shift 1 - QA | Coordinate Geometry - SSC**

A solid cube having volume 46656 cm is cut into 27 cubes of equal volume.Thesurface area (in cm^{2}) of the smaller cubes is:

- A.
864

- B.
756

- C.
936

- D.
921

Answer: Option A

**Explanation** :

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**17. SSC CHSL 2021 9th August Shift 1 - QA | Simplification - SSC**

If 27x^{3} - 64y^{3} = (Ax + By)(Cx^{2} + Dy^{2} - Exy), then value of (A - B + C - D + E) will be:

- A.
-12

- B.
18

- C.
15

- D.
-20

Answer: Option A

**Explanation** :

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**18. SSC CHSL 2021 9th August Shift 1 - QA | Triangles - SSC**

A circle touches the side BC of △ABC at P and also touches AB and AC produced at Q and R, respectively. If the perimeter of △ABC = 14.1 cm, then the length (in cm) of AQ will be:

- A.
10.3

- B.
7.05

- C.
6.25

- D.
9.15

Answer: Option B

**Explanation** :

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**19. SSC CHSL 2021 9th August Shift 1 - QA | Tables & Graphs - SSC**

Study the given graph and answer the question that follows.

For which of the following years was the increase in the production of sugar as compared to that in its preceding year between 8% and 10% ?

- A.
2018

- B.
2017

- C.
2019

- D.
2015

Answer: Option C

**Explanation** :

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**20. SSC CHSL 2021 9th August Shift 1 - QA | Ratio, Proportion & Variation - SSC**

In a proportion, the product of the first and fourth terms is 70 and that of the second and third terms is 3.5 y. The value of y is:

- A.
17

- B.
20

- C.
15

- D.
22

Answer: Option B

**Explanation** :

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**21. SSC CHSL 2021 9th August Shift 1 - QA | Circles - SSC**

Two circles touch each other externally. The distance betweentheir centres is 14 cm.If the radiusof onecircle is 8 cm. then the radius ofthe othercircle is:

- A.
7 cm

- B.
6 cm

- C.
5 cm

- D.
8 cm

Answer: Option B

**Explanation** :

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**22. SSC CHSL 2021 9th August Shift 1 - QA | Average, Mixture & Alligation - SSC**

The average of 42 numbers is 37. The averageofthe first 26 numbers is 32, and the averageofthe last 17 numbers is 44. The 26th number is:

- A.
28

- B.
27

- C.
26

- D.
25

Answer: Option C

**Explanation** :

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**23. SSC CHSL 2021 9th August Shift 1 - QA | Time, Speed & Distance - SSC**

Dimple is travelling at a speed of 90 km per hour on a highway, while Sachin is travelling at a speed of 108 km per hour. Whatis the difference in their speeds, in metres per second?

- A.
5

- B.
3

- C.
4

- D.
6

Answer: Option A

**Explanation** :

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**24. SSC CHSL 2021 9th August Shift 1 - QA | Triangles - SSC**

In △ABC, D and E are the points on the sides Ab and AC, respectively such that ∠AED = ∠ABC. If AE = 6 cm, BD = 2 cm, DE = 3 cm and BC = 5 cm, then (AB + BC) is equal to:

- A.
$\frac{86}{3}$ cm

- B.
$\frac{49}{3}$ cm

- C.
$\frac{50}{3}$ cm

- D.
$\frac{70}{3}$ cm

Answer: Option D

**Explanation** :

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**25. SSC CHSL 2021 9th August Shift 1 - QA | Percentage, Profit & Loss - SSC**

Gaurav earns ₹800 per day. After some weeks, he earns 2960 per day. Whatis the percentage increase in his daily earnings?

- A.
18%

- B.
20%

- C.
16%

- D.
14%

Answer: Option B

**Explanation** :

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