# SSC CHSL 2021 10th August Shift 3 - QA

**1. SSC CHSL 2021 10th August Shift 3 - QA | Tables & Graphs - SSC**

**Some families went on an outstation tour. The given histogram shows their ages.**

What is the ratio of the number of persons of age less than 15 years to that of persons of age less than 30 years?

- A.
15 : 38

- B.
15 : 31

- C.
3 : 7

- D.
11 : 19

Answer: Option C

**Explanation** :

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**2. SSC CHSL 2021 10th August Shift 3 - QA | Percentage, Profit & Loss - SSC**

When the price of an item was reduced by 20%, its sales increased by x% . If there is an increase of 25% in the receipt of the revenue, then the value of x is:

- A.
53.84%

- B.
55.75%

- C.
56.25%

- D.
61.5%

Answer: Option C

**Explanation** :

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**3. SSC CHSL 2021 10th August Shift 3 - QA | Coordinate Geometry - SSC**

In a trapezium ABCD , DC || AB, AB = 16cm and DC = 11.2 cm. Whatis the length (in cm) of the line segment joining the mid points of its diagonals?

- A.
2.4

- B.
1.8

- C.
1.2

- D.
2.8

Answer: Option A

**Explanation** :

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**4. SSC CHSL 2021 10th August Shift 3 - QA | Average, Mixture & Alligation - SSC**

In a class of 80 students (boys and girls) there are 60% girls. The average weight of the boys is 58 kg and that of the girls is 52 kg. What is the average weight(in kg) of the whole class?

- A.
56.2

- B.
54.4

- C.
53.6

- D.
55

Answer: Option B

**Explanation** :

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**5. SSC CHSL 2021 10th August Shift 3 - QA | Simple Equation - SSC**

$\frac{775\times 775\times 775+225\times 225\times 225}{77.5\times 77.5+22.5\times 22.5-77.5\times 22.5}$ is equal to:

- A.
100

- B.
10000

- C.
100000

- D.
0.1

Answer: Option C

**Explanation** :

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**6. SSC CHSL 2021 10th August Shift 3 - QA | Tables & Graphs - SSC**

Study the bar graph which shows the imports and exports (in ₹) of steel of a country during 2013 to 2017 and answer the question that follows.

For how many year(s) were the imports less than 80%ofthe average exports (per year) of the country during the five years?

- A.
4

- B.
1

- C.
3

- D.
2

Answer: Option D

**Explanation** :

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**7. SSC CHSL 2021 10th August Shift 3 - QA | Simplification - SSC**

If a + b + c = 5, a^{2} + b^{2} + c^{2} = 27, and a^{3} + b^{3} + c^{3} = 125, then the value of $\frac{abc}{5}$ is :

- A.
-1

- B.
5

- C.
-5

- D.
1

Answer: Option A

**Explanation** :

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**8. SSC CHSL 2021 10th August Shift 3 - QA | Simple & Compound Interest - SSC**

A sum lent at simple interest amounts to ₹6,240.80 in one year and to ₹7,563.20 in 4 years. The sum (in ₹) and the rate of interest per annum, respectively, are:

- A.
6,200, 8.5%

- B.
5,800, 8.5%

- C.
5,800, 7.6%

- D.
6,200, 7.6%

Answer: Option C

**Explanation** :

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**9. SSC CHSL 2021 10th August Shift 3 - QA | Simple Equation - SSC**

If the 11-digit number 4v6884805x6 is divisible by 72, and x ≠ y, then the value of $\sqrt{xy}$ is:

- A.
$\sqrt{12}$

- B.
$\sqrt{6}$

- C.
$\sqrt{5}$

- D.
$\sqrt{8}$

Answer: Option B

**Explanation** :

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**10. SSC CHSL 2021 10th August Shift 3 - QA | Triangles - SSC**

In ∆PQR, QT ⊥ PR and S is a point on QR such that ∠PSQ = p°. If ∠TQR = 44° and ∠SPR = 32°, then the value of p is:

- A.
72°

- B.
82°

- C.
76°

- D.
78°

Answer: Option D

**Explanation** :

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**11. SSC CHSL 2021 10th August Shift 3 - QA | Circles - SSC**

Two circles of radii 18 cm and 12 cm intersect each other and the length of their common chord is 16 cm. What is the distance (in cm) between their centres?

- A.
2$\sqrt{5}$ (2 + $\sqrt{13}$)

- B.
2$\sqrt{5}$(4 - $\sqrt{13}$)

- C.
2$\sqrt{5}$(4 + $\sqrt{13}$)

- D.
2$\sqrt{5}$(-2 + $\sqrt{13}$)

Answer: Option A

**Explanation** :

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**12. SSC CHSL 2021 10th August Shift 3 - QA | Trigonometry - SSC**

The value of cot^{2} 46° - sec^{2} 44° + (sin^{2} 1° + sin^{2} 3° + sin^{2} 5° + ... + sin^{2} 89°) is:

- A.
23.5

- B.
20.5

- C.
22.5

- D.
21.5

Answer: Option D

**Explanation** :

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**13. SSC CHSL 2021 10th August Shift 3 - QA | Trigonometry - SSC**

If (1 + cot^{2} θ) + (1 + (cot^{2} θ)^{-1}) is equal to k, then $\sqrt{k}$ = ?

- A.
sin θ sec θ

- B.
cosec θ cos θ

- C.
cosec θ sec θ

- D.
sin θ cos θ

Answer: Option C

**Explanation** :

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**14. SSC CHSL 2021 10th August Shift 3 - QA | Triangles - SSC**

The sides AB, BC and AC of △ABC are 12 cm, 8 cm and 10 cm, respectively. A circle is inscribed in the triangle touching AB, BC and AC at D, E and F, respectively. The ratio of the lengths of AD to CE is:

- A.
5 : 7

- B.
3 : 5

- C.
10 : 7

- D.
7 : 3

Answer: Option D

**Explanation** :

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**15. SSC CHSL 2021 10th August Shift 3 - QA | Percentage, Profit & Loss - SSC**

By selling a car for ₹6,32,500, a showroom owner makesa profit of 15%. If he sold the car at ₹8,10,000, then what would be the profit percentage (correct to one decimal place)?

- A.
47.3%

- B.
44.8%

- C.
41.5%

- D.
51.4%

Answer: Option A

**Explanation** :

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**16. SSC CHSL 2021 10th August Shift 3 - QA | Simple Equation - SSC**

If (x - 1.5)^{3} + (x - 4)^{3} + (x - 3.5)^{3} = 3(x - 1.5) (x - 4) (x - 3.5), then what is the value of x?

- A.
1

- B.
3

- C.
6

- D.
9

Answer: Option B

**Explanation** :

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**17. SSC CHSL 2021 10th August Shift 3 - QA | Tables & Graphs - SSC**

**Study the pie chart and answer the question that follows.**

The given pie chart shows the degree of cost incurred in different expenditure on the construction of a house. The total expenditure is ₹31,50,000.

What is the percentage of expenditure on cement?

- A.
30%

- B.
25%

- C.
15%

- D.
20%

Answer: Option D

**Explanation** :

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**18. SSC CHSL 2021 10th August Shift 3 - QA | Percentage, Profit & Loss - SSC**

A marks her goods 25% above the cost price. She sells 25% of the goods at the marked price, 60% at 25% discount and the remaining at 10% discount. What is her overall gain or loss per cent?

- A.
Gain 15.124%

- B.
Loss 18.175%

- C.
Loss 3.125%

- D.
Gain 4.375%

Answer: Option B

**Explanation** :

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**19. SSC CHSL 2021 10th August Shift 3 - QA | Time & Work - SSC**

Working together A, B and C can complete a piece of work in 3 days. A completes the same work in 24 days and B completes it in 6 days. How many days will C alone take to complete the same work?

- A.
18

- B.
8

- C.
12

- D.
6

Answer: Option B

**Explanation** :

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**20. SSC CHSL 2021 10th August Shift 3 - QA | Time, Speed & Distance - SSC**

A man covers $\frac{5}{12}$of a total journey by train, $\frac{7}{18}$ of the journey by bus and the remaining 7 km on foot. His total journey (in km) is:

- A.
36 km

- B.
35 km

- C.
32 km

- D.
40 km

Answer: Option A

**Explanation** :

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**21. SSC CHSL 2021 10th August Shift 3 - QA | Trigonometry - SSC**

If 3 cos θ = 2 sin^{2} θ, 0° < θ < 90°, then what is the value of (tan^{2} θ + sec^{2} θ - cosec^{2} θ)?

- A.
$\frac{17}{3}$

- B.
-$\frac{7}{3}$

- C.
-$\frac{17}{3}$

- D.
$\frac{7}{3}$

Answer: Option A

**Explanation** :

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**22. SSC CHSL 2021 10th August Shift 3 - QA | Tables & Graphs - SSC**

Study the graph which shows the target and actual production of ACs,(in thousands) of a factory over five months and answer the question that follows.

The total target production of ACs in February, March, April and May is what percent less than the total actual production of ACs over five months? (correct to one decimal place)

- A.
27.9%

- B.
26.8%

- C.
29.7%

- D.
28.6%

Answer: Option D

**Explanation** :

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**23. SSC CHSL 2021 10th August Shift 3 - QA | Coordinate Geometry - SSC**

The volume of a rightcircular cone is 462 cm^{2}. Ifits heightis 12 cm, then thearea ofits base (in cm^{2}) is:

- A.
124.5

- B.
103.5

- C.
115.5

- D.
98.5

Answer: Option C

**Explanation** :

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**24. SSC CHSL 2021 10th August Shift 3 - QA | Ratio, Proportion & Variation - SSC**

What is the ratio of the mean proportional between 1.2 and 10.8 to the third proportional to 0.2 and 1.2?

- A.
1 : 3

- B.
1 : 2

- C.
2 : 1

- D.
3 : 1

Answer: Option B

**Explanation** :

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**25. SSC CHSL 2021 10th August Shift 3 - QA | Simple Equation - SSC**

If a + b + c = 11 and ab + bc + ca = 15, then what is the value of a^{3} + b^{3} + c^{3} - 3abc?

- A.
368

- B.
836

- C.
386

- D.
638

Answer: Option B

**Explanation** :

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