# SSC CHSL 2nd June Shift 2 - QA

**1. SSC CHSL 2nd June Shift 2 - QA | Simplification - SSC**

Which among the below option can be a square root of?

(x^{2} - 14x + 49) (x^{2} + 6x + 9)

- A.
(x - 7) (x + 3)

- B.
(x - 3) (x + 8)

- C.
(x - 4) (x + 9)

- D.
(x - 1) (x + 17)

Answer: Option A

**Explanation** :

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**2. SSC CHSL 2nd June Shift 2 - QA | Trigonometry - SSC**

Find θ, if cos θ = $-\frac{\sqrt{3}}{2}$.

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

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

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

- D.
$\frac{4\pi}{3}$

Answer: Option B

**Explanation** :

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**3. SSC CHSL 2nd June Shift 2 - QA | Time, Speed & Distance - SSC**

Ruksana travelled at 60 km/h while going from point A to point B, and returned via the same route at a different speed. If Ruksana’s overall average speed during the two-way journey was 48 km/h, what was her speed while travelling from B to A?

- A.
40 km/h

- B.
36 km/h

- C.
42 km/h

- D.
45 km/h

Answer: Option A

**Explanation** :

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**4. SSC CHSL 2nd June Shift 2 - QA | Simplification - SSC**

If ${({x}^{3}+{y}^{3})}^{\frac{2}{3}}$ = (x² + y²), then the value of $\frac{{x}^{2}+{y}^{2}}{xy}$x ≠ 0, y ≠ 0, is:

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

- B.
1

- C.
x

^{2}+ y - D.
x + y

^{2}

Answer: Option A

**Explanation** :

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**5. SSC CHSL 2nd June Shift 2 - QA | Circles - SSC**

An arc on a circle that is 15 cm long subtends a 24° angle at the centre. What is the circumference of the circle?

- A.
236 cm

- B.
220 cm

- C.
240 cm

- D.
225 cm

Answer: Option D

**Explanation** :

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**6. SSC CHSL 2nd June Shift 2 - QA | Percentage, Profit & Loss - SSC**

In an election between two candidates, one of the candidates secured 35% of the votes cast and was defeated by the other candidate by 1296 votes. If there were no invalid votes, then the total number of votes polled was:

- A.
4320

- B.
4230

- C.
4456

- D.
4546

Answer: Option A

**Explanation** :

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**7. SSC CHSL 2nd June Shift 2 - QA | Coordinate Geometry - SSC**

The lengths of a pair of parallel sides of a trapezium are 20 cm and 25 cm, respectively, and the perpendicular distance between these two sides is 14 cm. What is the area (in cm^{2}) of the trapezium?

- A.
512

- B.
250

- C.
300

- D.
315

Answer: Option D

**Explanation** :

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**8. SSC CHSL 2nd June Shift 2 - QA | Circles - SSC**

The ratio of the radii of two right circular cylinders is 2 : 3. If their heights are in the ratio 5 : 3, find the ratio of their volumes.

- A.
20 : 27

- B.
16 : 19

- C.
3 : 4

- D.
3 : 1

Answer: Option A

**Explanation** :

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**9. SSC CHSL 2nd June Shift 2 - QA | Ratio, Proportion & Variation - SSC**

Find the 4^{th }proportional to 5, 10 and 12.

- A.
8

- B.
48

- C.
20

- D.
24

Answer: Option D

**Explanation** :

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**10. SSC CHSL 2nd June Shift 2 - QA | Simplification - SSC**

If $\left(x-\frac{1}{x}\right)$ = 7.5, what is the value of $\left({x}^{2}+\frac{1}{{x}^{2}}\right)$

- A.
56.25

- B.
54.25

- C.
60.25

- D.
58.25

Answer: Option D

**Explanation** :

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**11. SSC CHSL 2nd June Shift 2 - QA | Tables & Graphs - SSC**

**Study the given table and answer the question that follows.**

Given that the total number of students is 100.

The number of students who scored less than 80% marks in A is:

- A.
71

- B.
73

- C.
83

- D.
91

Answer: Option D

**Explanation** :

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**12. SSC CHSL 2nd June Shift 2 - QA | Tables & Graphs - SSC**

Study the given graph and answer the following question.

As per data available above in which of the given years was the percentage of the population affected by cold the minimum?

- A.
2010

- B.
1980

- C.
2000

- D.
1990

Answer: Option D

**Explanation** :

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**13. SSC CHSL 2nd June Shift 2 - QA | Average, Mixture & Alligation - SSC**

The average of six integers is 48. The average of the first five integers is 70% of the sixth integer. The sixth integer is.

- A.
62

- B.
64

- C.
68

- D.
58

Answer: Option B

**Explanation** :

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**14. SSC CHSL 2nd June Shift 2 - QA | Circles - SSC**

The radius of a hemispherical bowl is given as 7 cm. What is the capacity of the bowl?

(π = 22/7)

- A.
812$\frac{1}{3}$ cm³

- B.
718$\frac{2}{3}$ cm³

- C.
618$\frac{1}{3}$ cm³

- D.
518$\frac{2}{3}$ cm³

Answer: Option B

**Explanation** :

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**15. SSC CHSL 2nd June Shift 2 - QA | Simple & Compound Interest - SSC**

What is the compound interest on ₹10,625 for 2 years at 8% interest per annum, if interest is compounded annually?

- A.
₹1,768

- B.
₹1,698

- C.
₹1,625

- D.
₹1,528

Answer: Option A

**Explanation** :

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**16. SSC CHSL 2nd June Shift 2 - QA | Time & Work - SSC**

A pipe can fill a tank in 15 hours. Due to leakage in the bottom it is filled in 20 hours. If the tank is full, and the pipe is closed, how much time will the leak take to empty the entire tank?

- A.
60 hrs

- B.
40 hrs

- C.
30 hrs

- D.
50 hrs

Answer: Option A

**Explanation** :

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**17. SSC CHSL 2nd June Shift 2 - QA | Percentage, Profit & Loss - SSC**

An article is sold at a discount of 10% and an additional discount of 40% is allowed on cash payment. If Anita purchased an article by paying ₹2,700 in cash, the marked price of the article was:

- A.
₹5,000

- B.
₹5,500

- C.
₹2,500

- D.
₹2,000

Answer: Option A

**Explanation** :

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**18. SSC CHSL 2nd June Shift 2 - QA | Percentage, Profit & Loss - SSC**

A dealer allows his customers a discount of 15% and still gains 15%. If an article cost ₹2,500 to the dealer, then its marked price is (correct to nearest integer):

- A.
₹1,312

- B.
₹3,182

- C.
₹4,382

- D.
₹3,382

Answer: Option D

**Explanation** :

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**19. SSC CHSL 2nd June Shift 2 - QA | Simple & Compound Interest - SSC**

A man borrowed some money and returned it in two equal instalments of ₹3,025 each. If the rate of interest is 10% per annum, compound annually, find the sum borrowed.

- A.
₹5,575

- B.
₹6,250

- C.
₹5,250

- D.
₹6,525

Answer: Option C

**Explanation** :

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**20. SSC CHSL 2nd June Shift 2 - QA | Number Theory - SSC**

The smallest four-digit number which is divisible by 4, 8, 12 and 16 is:

- A.
1012

- B.
1006

- C.
1010

- D.
1008

Answer: Option D

**Explanation** :

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**21. SSC CHSL 2nd June Shift 2 - QA | Simplification - SSC**

Simplify the following expression.

79 - [6 - {4 - (8 × (6 + 3))}] ÷ 2

- A.
2.5

- B.
42

- C.
11.5

- D.
37

Answer: Option B

**Explanation** :

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**22. SSC CHSL 2nd June Shift 2 - QA | Tables & Graphs - SSC**

The table below gives the percentage of females and males in different professions, out of iota! 10000 people.

On the basis of the information provided in the table, find the total number of males who are in the teaching profession .

- A.
1000

- B.
500

- C.
1500

- D.
2000

Answer: Option A

**Explanation** :

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**23. SSC CHSL 2nd June Shift 2 - QA | Percentage, Profit & Loss - SSC**

A man sold a radio set and gained one-eighth of its cost price. What is the profit percent?

- A.
12.5%

- B.
18%

- C.
15.5%

- D.
20%

Answer: Option A

**Explanation** :

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**24. SSC CHSL 2nd June Shift 2 - QA | Time, Speed & Distance - SSC**

What distance will be covered by a bus moving at 108 km/h in 40 seconds?

- A.
1 km 400 m

- B.
1 km 800 m

- C.
1 km 600 m

- D.
1 km 200 m

Answer: Option D

**Explanation** :

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**25. SSC CHSL 2nd June Shift 2 - QA | Percentage, Profit & Loss - SSC**

Two numbers X and Y are such that the sum of 18% of X and 8% of Y is one-third of the sum of 22% of X and 36% of Y. Find the ratio of X and Y.

- A.
3 : 11

- B.
3 : 8

- C.
2 : 5

- D.
8 : 3

Answer: Option B

**Explanation** :

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