# SSC CHSL 2021 6th August Shift 2 - QA

**1. SSC CHSL 2021 6th August Shift 2 - QA | Time, Speed & Distance - SSC**

A train is running at a speed of 99 km/hr. If the train is 565 m long, then what will be the time (in seconds) taken by it to cross a 975m long tunnel?

- A.
54

- B.
56

- C.
40

- D.
42

Answer: Option B

**Explanation** :

Workspace:

**2. SSC CHSL 2021 6th August Shift 2 - QA | Tables & Graphs - SSC**

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

Marks scored by five students in three subjects (Maths, English and Physics). Total marks for each subject are 100.

What is the difference between the total marks obtained by B and the total marks obtained by C?

- A.
35

- B.
25

- C.
20

- D.
30

Answer: Option D

**Explanation** :

Workspace:

**3. SSC CHSL 2021 6th August Shift 2 - QA | Coordinate Geometry - SSC**

What is the area (in cm^{2}, correct to one decimal place) of a triangle whose base is 21.4 cm and height is 15.5 cm?

- A.
165.9

- B.
156.6

- C.
165.6

- D.
156.9

Answer: Option A

**Explanation** :

Workspace:

**4. SSC CHSL 2021 6th August Shift 2 - QA | Lines & Angles - SSC**

A ladder 10 m long rests against a vertical wall making an angle of 30° with the wall. How high up (in m) does it reach the wall from the ground? (Take √3 = 1.73)

- A.
8.65

- B.
5.88

- C.
5

- D.
8.56

Answer: Option A

**Explanation** :

Workspace:

**5. SSC CHSL 2021 6th August Shift 2 - QA | Ratio, Proportion & Variation - SSC**

Two numbers are in the ratio of 9 : 7. If the larger number is 56 more than one-seventh of the smaller, then what is the sum of two numbers?

- A.
72

- B.
130

- C.
112

- D.
96

Answer: Option C

**Explanation** :

Workspace:

**6. SSC CHSL 2021 6th August Shift 2 - QA | Simplification - SSC**

What is the value of x if it is given that 4{2$\left(\frac{3}{4}\mathrm{of}24-1\right)$ + 3(7 ÷ x) - 5 × 8 + 1)} = 20^{2}

- A.
0.625

- B.
0.2

- C.
0.75

- D.
0.4

Answer: Option B

**Explanation** :

Workspace:

**7. SSC CHSL 2021 6th August Shift 2 - QA | Tables & Graphs - SSC**

The histogram given below presents the frequency distribution of average runs scored by 50 selected players from a district in local cricket tournament. Study the histogram and answer the question that follows.

How many players scored 30.5 runs oe less?

- A.
28

- B.
34

- C.
12

- D.
16

Answer: Option D

**Explanation** :

Workspace:

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

If the nine-digit number 87605x31y is divisible by 72, then the value of 2x - 3y is

- A.
2

- B.
1

- C.
0

- D.
-1

Answer: Option A

**Explanation** :

Workspace:

**9. SSC CHSL 2021 6th August Shift 2 - QA | Coordinate Geometry - SSC**

One side of a rectangular field is 39 m and its diagonal is 89m. What is the area of the field?

- A.
2160 m

^{2} - B.
3120 m

^{2} - C.
3140 m

^{2} - D.
2100 m

^{2}

Answer: Option B

**Explanation** :

Workspace:

**10. SSC CHSL 2021 6th August Shift 2 - QA | Tables & Graphs - SSC**

The following histogram represents the distribution of total household expenditure (in ₹) of 200 manual workers in a city.

The number of workers whose total expenditure is ₹350 and above is what percentage less than the number of workers whose total expenditure is less than ₹250?

- A.
15%

- B.
12%

- C.
14%

- D.
10%

Answer: Option B

**Explanation** :

Workspace:

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

The base of a triangle is equal to the perimeter of a square whose diagonal is 7$\sqrt{2}$ cm and its height is equal to the side of a square whoseareais 169 cm^{2}. The area (in cm^{2}) of the triangle is:

- A.
182

- B.
175

- C.
156

- D.
130

Answer: Option A

**Explanation** :

Workspace:

**12. SSC CHSL 2021 6th August Shift 2 - QA | Time & Work - SSC**

A can do a piece of work in 12 days. He worked for 6 days andleft, and then B finished it in 10 days. If both work together, then in how many dayswill they finish the same work?

- A.
9.5

- B.
9

- C.
7.5

- D.
7

Answer: Option C

**Explanation** :

Workspace:

**13. SSC CHSL 2021 6th August Shift 2 - QA | Simple & Compound Interest - SSC**

The 12% interest earned on a sum of money of ₹2,60,000 is to be used for awarding 24 scholarships of equal value every year in a school. Whatis the value (in 2) of each scholarship?

- A.
1,300

- B.
1,500

- C.
1,200

- D.
1,250

Answer: Option A

**Explanation** :

Workspace:

**14. SSC CHSL 2021 6th August Shift 2 - QA | Percentage, Profit & Loss - SSC**

Two numbers are less than a third number by 37% and 30%, respectively. By what percentage is the second number more than the first?

- A.
$\frac{100}{9}$

- B.
$\frac{10}{9}$

- C.
10

- D.
$\frac{100}{3}$

Answer: Option A

**Explanation** :

Workspace:

**15. SSC CHSL 2021 6th August Shift 2 - QA | Percentage, Profit & Loss - SSC**

Ifa person sells a ceiling fan for ₹557.75, then he gets a 15% profit. To get a 20% profit, at what amount should he sell the fan?

- A.
₹572

- B.
₹589

- C.
₹596

- D.
₹582

Answer: Option D

**Explanation** :

Workspace:

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

If $\left({x}^{2}+\frac{1}{49{x}^{2}}\right)$ = 15$\frac{5}{7}$, then what is the value of $\left(x+\frac{1}{7x}\right)$?

- A.
7

- B.
±7

- C.
±4

- D.
4

Answer: Option C

**Explanation** :

Workspace:

**17. SSC CHSL 2021 6th August Shift 2 - QA | Trigonometry - SSC**

If sin θ + cosec θ = 7, then what is the value of sin^{3} θ + cosec^{3} θ?

- A.
350

- B.
382

- C.
322

- D.
367

Answer: Option C

**Explanation** :

Workspace:

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

If a + b + c = 2 and ab + bc + ca = -1, then the value of a^{3} + b^{3} + c^{3} - 3abc is:

- A.
14

- B.
2

- C.
5

- D.
10

Answer: Option A

**Explanation** :

Workspace:

**19. SSC CHSL 2021 6th August Shift 2 - QA | Percentage, Profit & Loss - SSC**

By selling a pen for ₹26, a man loses one-fourteenth of what it costs him. The cost price of the pen is:

- A.
₹27

- B.
₹39

- C.
₹38

- D.
₹28

Answer: Option D

**Explanation** :

Workspace:

**20. SSC CHSL 2021 6th August Shift 2 - QA | Tables & Graphs - SSC**

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

The line graph represents the number of vehicles (in thousands) manufactured by two automobile companies A and B over the years from 2010 to 2015. The X-axis represents the years and the Y-axis represents number of vehicles in thousands.

(The data shown here is only for mathematical exercise. They do not represent the actual figures of the country.)

Company B is projecting an increase in the number of vehicles to be manufactured in 2016 by 70% with respect to its average number of vehicles from 2010 to 2015. What should be the approximate percentage increase in the number of vehicles (in thousands) to be manufactured by Company A in 2016 with respect to the number of vehicles in 2015, so that it is at par with Company B?

- A.
57

- B.
42

- C.
50

- D.
45

Answer: Option C

**Explanation** :

Workspace:

**21. SSC CHSL 2021 6th August Shift 2 - QA | Lines & Angles - SSC**

Points A, B, C and D are concyclic points ofa circle with centre O, such that ∠DOC = 73°. The measure of ∠ABC is 215°. What is the measure of∠AOD?

- A.
145°

- B.
273°

- C.
87°

- D.
72°

Answer: Option D

**Explanation** :

Workspace:

**22. SSC CHSL 2021 6th August Shift 2 - QA | Average, Mixture & Alligation - SSC**

There are 90 students in a hostel. Due to new admissions, 30 new students join the mess and the daily expences of the mess increases by ₹560, while the average expenditure per head diminishes by ₹10. What was the original daily expenditure (in ₹) of the mess?

- A.
4,280

- B.
5,280

- C.
3,680

- D.
4,980

Answer: Option B

**Explanation** :

Workspace:

**23. SSC CHSL 2021 6th August Shift 2 - QA | Coordinate Geometry - SSC**

The angle of elevation of a ladder against a wall is 45°. The length of the laddder is 12 m. What is the distance between the wall and the foot of the ladder?

- A.
4$\sqrt{3}$ m

- B.
6$\sqrt{2}$ m

- C.
3$\sqrt{2}$ m

- D.
5$\sqrt{3}$ m

Answer: Option B

**Explanation** :

Workspace:

**24. SSC CHSL 2021 6th August Shift 2 - QA | Lines & Angles - SSC**

In a circle with center O, APB is a tangent at P, If MN is a diameter such that ∠BPN = 52°, then what is the measure of ∠PNM?

- A.
38°

- B.
48°

- C.
52°

- D.
90°

Answer: Option A

**Explanation** :

Workspace:

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

If (2a + 3b)(2c − 3d) = (2a − 3b)(2c + 3d), then:

- A.
$\frac{a}{b}$ = $\frac{d}{c}$

- B.
$\frac{a}{b}$ = $\frac{c}{d}$

- C.
$\frac{a}{d}$ = $\frac{c}{b}$

- D.
$\frac{b}{a}$ = $\frac{c}{d}$

Answer: Option B

**Explanation** :

Workspace: