# SSC CHSL 2021 9th August Shift 2 - QA

**1. SSC CHSL 2021 9th August Shift 2 - QA | Simple & Compound Interest - SSC**

Suresh purchased a computertable for ₹9,000 and a centre table for ₹4,000. He sold the computertable with 8% profit. With what profit percentage should he sell the centre table so as to gain 10% on the whole transaction?

- A.
15

- B.
12

- C.
14

- D.
14.5

Answer: Option D

**Explanation** :

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**2. SSC CHSL 2021 9th August Shift 2 - 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.

The percentage rise in the production of sugar by company Q as compared to the previous year is the maximum in the year:

- A.
2017

- B.
2019

- C.
2016

- D.
2018

Answer: Option C

**Explanation** :

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**3. SSC CHSL 2021 9th August Shift 2 - QA | Simple & Compound Interest - SSC**

The simple interest on a certain sum of money for 5 years at the rate of 10% per annum is half the compound interest on ₹5,000 for 2 years at the rate of 10% per annum,interest compounded yearly. The sum placed on simple interest is:

- A.
₹1,450

- B.
₹1,050

- C.
₹1,500

- D.
₹1,540

Answer: Option B

**Explanation** :

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**4. SSC CHSL 2021 9th August Shift 2 - QA | Number Theory - SSC**

If the number 645A2879B8 is divisible by both 8 and 9, then the smallest possible values of A and B will be:

- A.
A = 3, B = 4

- B.
A = 4, B = 3

- C.
A = 2, B = 3

- D.
A = 3, B = 2

Answer: Option D

**Explanation** :

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

The number of students enrolled in different streams at Senior Secondary level in five schools is shown in the bar graph.

In which school is the number of students the least?

- A.
C

- B.
E

- C.
D

- D.
A

Answer: Option A

**Explanation** :

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**6. SSC CHSL 2021 9th August Shift 2 - QA | Simple Equation - SSC**

If (40$\sqrt{5}$x^{3} - 2$\sqrt{2}$y^{3}) ÷ (2$\sqrt{5}$x - $\sqrt{2}$y) = Ax^{2} + By^{2} - Cxy, then find the valueof A + 3B - $\sqrt{10}$C.

- A.
34

- B.
46

- C.
6

- D.
28

Answer: Option B

**Explanation** :

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

A shopkeeper offers successive discounts of 35%, 10% and 6%on every item. At whatprice (nearest to a rupee) customers can get an item marked for ₹1,000?

- A.
₹562

- B.
₹550

- C.
₹450

- D.
₹645

Answer: Option B

**Explanation** :

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**8. SSC CHSL 2021 9th August Shift 2 - QA | Simplification - SSC**

If x^{4} + $\frac{1}{{x}^{4}}$= 1154, x > 0, then what will be the value of x + $\frac{1}{x}$?

- A.
$\sqrt{34}$

- B.
18

- C.
$\sqrt{32}$

- D.
6

Answer: Option D

**Explanation** :

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

If $\frac{\mathrm{cos}e{c}^{2}\theta}{\mathrm{cos}e{c}^{2}\theta -co{t}^{2}\theta}$ = $\frac{13}{4},$ 0° < θ < 90°, then the value of $\frac{52{\mathrm{cos}}^{2}\theta -9{\mathrm{tan}}^{2}\theta}{18se{c}^{2}\theta +8co{t}^{2}\theta}$ will be:

- A.
$\frac{4}{11}$

- B.
$\frac{8}{11}$

- C.
$\frac{8}{13}$

- D.
$\frac{5}{11}$

Answer: Option B

**Explanation** :

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

Number of students enrolled in different branches of higher secondary of five schools.

Number of students enrolled in science branch of school A is what percentage of total number of students of all the five school from all branches?

- A.
8.57

- B.
8

- C.
7.5

- D.
6

Answer: Option B

**Explanation** :

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

Simplify the following expression.

$\frac{52+1170\xf726+13\times 2}{2+1{\displaystyle \frac{1}{8}}\mathrm{of}2-1{\displaystyle \frac{1}{4}}}$

- A.
61$\frac{1}{2}$

- B.
24$\frac{5}{6}$

- C.
37$\frac{1}{3}$

- D.
41

Answer: Option D

**Explanation** :

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**12. SSC CHSL 2021 9th August Shift 2 - QA | Trigonometry - SSC**

If 5 cos θ = 4 sin θ, 0° ≤ θ ≤ 90°, then what will be the value of sec θ?

- A.
$\frac{\sqrt{41}}{5}$

- B.
$\frac{3}{5}$

- C.
$\frac{\sqrt{41}}{16}$

- D.
$\frac{\sqrt{41}}{4}$

Answer: Option D

**Explanation** :

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**13. SSC CHSL 2021 9th August Shift 2 - QA | Simple Equation - SSC**

If x + y = 27 and x^{2} + y^{2} = 425, then the value of (x - y)^{2} will be:

- A.
225

- B.
169

- C.
121

- D.
144

Answer: Option C

**Explanation** :

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

AB is the diameter of a circle of radius 9 cm. PQ is a chord (not a diameter) that intersects AB at M perpendicularly. If AM : BM = 5 : 4, then the length of chord PQ will be:

- A.
5$\sqrt{5}$ cm

- B.
6$\sqrt{5}$ cm

- C.
6$\sqrt{3}$ cm

- D.
8$\sqrt{5}$ cm

Answer: Option D

**Explanation** :

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**15. SSC CHSL 2021 9th August Shift 2 - QA | Time, Speed & Distance - SSC**

The speed of a car is 40% more than thatof a bus. A train covers 1020 km in 8$\frac{1}{2}$ hours. How much distance will the car cover in 1$\frac{3}{4}$ hours if the speed of the busis half the speed of the train?

- A.
164 km

- B.
145 km

- C.
147 km

- D.
174 km

Answer: Option C

**Explanation** :

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**16. SSC CHSL 2021 9th August Shift 2 - QA | Lines & Angles - SSC**

In a right-angled triangle ABC right angled at C, sin A = sin B. What is the value of cos A?

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

- B.
1

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

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

Answer: Option C

**Explanation** :

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

Study the given graph and answer the question that follows.

By what percentage (approximately)is the average number of vehicles of type B produced in 2014, 2016 and 2018 less than the number of vehicles of type A produced in 2017?

- A.
21.4

- B.
18.6

- C.
20.8

- D.
23.6

Answer: Option C

**Explanation** :

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**18. SSC CHSL 2021 9th August Shift 2 - QA | Number Theory - SSC**

If two numbers are in the ratio 4 : 7 and the sum of their cubes is 407000, then the greater number will be:

- A.
70

- B.
63

- C.
84

- D.
77

Answer: Option A

**Explanation** :

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**19. SSC CHSL 2021 9th August Shift 2 - QA | Average, Mixture & Alligation - SSC**

The average pass percentage of girls in class X examination in a school is 85% and that of boys is 83%. The average pass percentage ofall boysandgirls in class X ofthat schoolis 83.7%. Find the percentage of the numberofgirls in class X of that school.

- A.
35%

- B.
30%

- C.
45%

- D.
40%

Answer: Option A

**Explanation** :

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

AB is 12 cm long chord of a circle with centre O and radius 10 cm. The tangents at A and intersect at P. Whatis the length of OP?

- A.
12.5 cm

- B.
12 cm

- C.
10 cm

- D.
2$\sqrt{61}$ cm

Answer: Option A

**Explanation** :

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**21. SSC CHSL 2021 9th August Shift 2 - QA | Coordinate Geometry - SSC**

A square park has been divided into two rectangles of equal area. If the perimeter of each of these rectangles is 39 m, then what will be the perimeter of the square park?

- A.
104 m

- B.
39 m

- C.
78 m

- D.
52 m

Answer: Option D

**Explanation** :

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**22. SSC CHSL 2021 9th August Shift 2 - QA | Triangles - SSC**

If the perimeter of an isosceles right triangle is 15($\sqrt{2}$ + 1) cm, then the area of the triangle will be:

- A.
46.5 cm

^{2} - B.
45 cm

^{2} - C.
56.25 cm

^{2} - D.
55 cm

^{2}

Answer: Option C

**Explanation** :

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

A circle is inscribed in a right-angled triangle. The lengths of the two sides containing the right angle are 15 cm and 8 cm. What is the radius ofthe in-circle?

- A.
4.5 cm

- B.
3 cm

- C.
3.75 cm

- D.
4 cm

Answer: Option B

**Explanation** :

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**24. SSC CHSL 2021 9th August Shift 2 - QA | Time & Work - SSC**

A can complete a task in 6 days, while B can complete the same task in 12 days. How many days will they take to complete the same task if they work together?

- A.
5

- B.
4

- C.
4$\frac{1}{2}$

- D.
3

Answer: Option B

**Explanation** :

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

Ramesh saves 26$\frac{2}{3}$% of his monthly salary. When his expenses are increased by 20%, he is able to save ₹4,080 per month. His monthly salary is:

- A.
₹35,000

- B.
₹38,000

- C.
₹34,000

- D.
₹30,000

Answer: Option C

**Explanation** :

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