# SSC CHSL 7th June Shift 2 - QA

**1. SSC CHSL 7th June Shift 2 - QA | Average, Mixture & Alligation - SSC**

The average of five numbers, given in a particular order, is 32. The average of the first three numbers is 28, while that of the last three numbers is 34. What is the average of the first two numbers?

- A.
29

- B.
30

- C.
27

- D.
28

Answer: Option A

**Explanation** :

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**2. SSC CHSL 7th June Shift 2 - QA | Trigonometry - SSC**

Select the correct identity from the following options.

- A.
1 + cos

^{2}A = sin^{2}A - B.
1 + sin

^{2}A = cos^{2}A - C.
1 + tan

^{2}A = sec^{2}A - D.
1 + sec

^{2}A = tan^{2}A

Answer: Option C

**Explanation** :

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**3. SSC CHSL 7th June Shift 2 - QA | Simplification - SSC**

Simplify:

11.5 − [5 + 0.5 × (9 − 3 × 2)]

- A.
5

- B.
4

- C.
3

- D.
6

Answer: Option A

**Explanation** :

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**4. SSC CHSL 7th June Shift 2 - QA | Simple & Compound Interest - SSC**

Find the principal amount if the interest compounded annually at the rate of 10% for two years is ₹4,200.

- A.
₹17,500

- B.
₹20,000

- C.
₹24,000

- D.
₹16,000

Answer: Option B

**Explanation** :

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**5. SSC CHSL 7th June Shift 2 - QA | Simplification - SSC**

Which of the following numbers is NOT divisible by 75?

- A.
117975

- B.
275475

- C.
163750

- D.
666600

Answer: Option C

**Explanation** :

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**6. SSC CHSL 7th June Shift 2 - QA | Time & Work - SSC**

Tim is thrice as good a workman as Joya and together they finish a piece of work in 75 days. In how many days will Tim alone finish the work?

- A.
25 days

- B.
100 days

- C.
50 days

- D.
$\frac{1}{100}$ days

Answer: Option B

**Explanation** :

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

While selling an item, a businessman allows a 40% discount on the marked price and incurs a loss of 30%. If the item is sold at the marked price, profit will be _______.

- A.
10%

- B.
16%

- C.
$16\frac{2}{3}$

- D.
$16\frac{1}{3}$

Answer: Option C

**Explanation** :

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**8. SSC CHSL 7th June Shift 2 - QA | Simplification - SSC**

If P(x) = (x^{3} - 8)(x + 1) and Q(x) = (x^{3} + 1) (x - 2), the LCM of P(x) and Q(x) is:

- A.
(x

^{2}+ 2x + 4) (x^{2}+ 4x + 1) - B.
(x + 1) (x - 2) (x

^{2}+ 2x + 4) (x^{2}- x + 1) - C.
(x + 1) 2(x - 2) 2(x

^{2}+ 2x + 4) (x^{2}+ 4x + 1) - D.
(x - 2) (x + 1)

Answer: Option B

**Explanation** :

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**9. SSC CHSL 7th June Shift 2 - QA | Circles - SSC**

ABCD is a square of side 21 cm. A circle is inscribed in the square, which touches the sides of the square at P, Q, R and S as shown below in the figure. What is the area (in ) of the non-shaded region? [Figure is not drawn to scale.]

(π = 22/7)

- A.
88.4

- B.
84.6

- C.
90.7

- D.
94.5

Answer: Option D

**Explanation** :

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**10. SSC CHSL 7th June Shift 2 - QA | Triangles - SSC**

The area of two similar triangles XYZ and ABC are 361 cm² and 225 cm², respectively. If the longest side of the larger ∆XYZ be 38 cm, then what is the length (in cm) of the longest side of the smaller ∆ABC?

- A.
35

- B.
28

- C.
32

- D.
30

Answer: Option D

**Explanation** :

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**11. SSC CHSL 7th June Shift 2 - QA | Simple & Compound Interest - SSC**

"The difference between the CI and the SI on a sum of money lent for 2 years at 20% interest per annum is ₹ 80. The sum is:"

- A.
₹1,200

- B.
₹2,000

- C.
₹1,500

- D.
₹1,000

Answer: Option B

**Explanation** :

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**12. SSC CHSL 7th June Shift 2 - QA | Percentage, Profit & Loss - SSC**

The price of a book is first increased by 8% and later decreased by 8%. What is the percentage change in the price of the book?

- A.
No change

- B.
decrease by 0.64%

- C.
increase by 0.064%

- D.
increase by 0.64%

Answer: Option B

**Explanation** :

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**13. SSC CHSL 7th June Shift 2 - QA | Percentage, Profit & Loss - SSC**

A book with a marked price of ₹600 is available at a discount of 18%. What is the discount given?

- A.
₹180

- B.
₹110

- C.
₹108

- D.
₹72

Answer: Option C

**Explanation** :

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**14. SSC CHSL 7th June Shift 2 - QA | Percentage, Profit & Loss - SSC**

The price of a pen is first increased by 15% and later on the price was decreased by 20% due to reduction in sales. Find the net percentage change in the final price of a pen.

- A.
25%

- B.
8%

- C.
−8%

- D.
−16%

Answer: Option C

**Explanation** :

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**15. SSC CHSL 7th June Shift 2 - QA | Simplification - SSC**

Simplify the following expression.

(0.14 × 0.14) − (2 × 0.14 × 5.14) + (5.14 × 5.14)

- A.
5.18

- B.
4

- C.
16

- D.
25

Answer: Option D

**Explanation** :

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**16. SSC CHSL 7th June Shift 2 - QA | Time, Speed & Distance - SSC**

An athlete crosses a distance of 3600 m in 12 minutes. What is his speed (in km/h)?

- A.
15

- B.
17

- C.
18

- D.
16

Answer: Option C

**Explanation** :

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**17. SSC CHSL 7th June Shift 2 - QA | Circles - SSC**

The base of a hemispherical bowl has a circumference of 132 cm. Find the capacity of the bowl.

(Use π = 22/7)

- A.
18240 cm

^{3} - B.
19404 cm

^{3} - C.
19708 cm

^{3} - D.
16540 cm

^{3}

Answer: Option B

**Explanation** :

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**18. SSC CHSL 7th June Shift 2 - QA | Analogy - SSC**

Which of the following ratios is the smallest?

3 : 4, 1 : 2 , 2 : 5, 1 : 3

- A.
1 : 3

- B.
2 : 5

- C.
3 : 4

- D.
1 : 2

Answer: Option A

**Explanation** :

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**19. SSC CHSL 7th June Shift 2 - QA | Simplification - SSC**

Solve:

$\frac{{(6.9)}^{3}+{(2.7)}^{3}+{(5.8)}^{3}-3\times 6.9\times 2.7\times 5.8}{{(6.9)}^{2}+{(2.7)}^{2}+{(5.2)}^{2}-(6.9)(2.7)-(2.7)(5.8)-(5.8)(5.9)}$

- A.
15.1

- B.
15.3

- C.
15.2

- D.
15.4

Answer: Option D

**Explanation** :

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**20. SSC CHSL 7th June Shift 2 - QA | Tables & Graphs - SSC**

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

The following table gives the month- wise number of different types of scooters produced by a company during the first six months of 1992.

In which month did the company produce the lowest aggregate number of scooters of all the four types taken together?

- A.
June

- B.
March

- C.
February

- D.
January

Answer: Option A

**Explanation** :

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**21. SSC CHSL 7th June Shift 2 - QA | Percentage, Profit & Loss - SSC**

A shopkeeper sells rice at cost price but uses a faulty weighing machine and thus gains a profit of 25%. Find how many grams rice he is giving in 1 kg ?

- A.
800gm

- B.
700gm

- C.
900gm

- D.
750 gm

Answer: Option A

**Explanation** :

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**22. SSC CHSL 7th June Shift 2 - QA | Tables & Graphs - SSC**

**Study the given graph carefully and answer the question that follows.**

The graph shows the marks scored by five students in the subjects Math, English and Physics.

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

- A.
80 marks

- B.
90 marks

- C.
95 marks

- D.
85 marks

Answer: Option B

**Explanation** :

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

Calculate the area of the shaded region in the following diagram.

- A.
45 cm

^{2} - B.
42 cm

^{2} - C.
48 cm

^{2} - D.
50 cm

^{2}

Answer: Option A

**Explanation** :

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**24. SSC CHSL 7th June Shift 2 - QA | Average, Mixture & Alligation - SSC**

The average salary per head of all the workers in a workshop is ₹8,850. If the average salary per head of 9 technicians is ₹10,000, and the average salary per head of the rest is ₹7,780, find the total number of workers in the workshop.(Consider integral part only)

- A.
18

- B.
22

- C.
24

- D.
16

Answer: Option A

**Explanation** :

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**25. SSC CHSL 7th 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 percentage of the number of students getting at least 40% marks in A over those getting at least 20% marks in C, is approximately _______.

- A.
90%

- B.
89%

- C.
83%

- D.
93%

Answer: Option D

**Explanation** :

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