# SSC CHSL 3rd June Shift 2 - QA

**1. SSC CHSL 3rd June Shift 2 - QA | Simplification - SSC**

If a - b = 3 and a^{3} - b^{3} = 999, then find the value of a^{2} - b^{2}.

- A.
64

- B.
62

- C.
63

- D.
60

Answer: Option C

**Explanation** :

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**2. SSC CHSL 3rd June Shift 2 - QA | Percentage, Profit & Loss - SSC**

A seller combines 26 kg of rice priced at ₹20 per kg with 30 kg of rice priced at ₹36 per kg and sells the mixture for ₹30 per kg. What is the percentage of profit he makes?

- A.
8

- B.
3

- C.
5

- D.
7

Answer: Option C

**Explanation** :

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**3. SSC CHSL 3rd June Shift 2 - QA | Percentage, Profit & Loss - SSC**

A man offers a 21% discount on an item. He offers a further discount of 40% on the reduced price for the first 100 customers. If the selling price of the item is ₹4,740, and the customer is one of the frist 100 then the marked price (in ₹) of the item is

- A.
₹12,000

- B.
₹8,000

- C.
₹9,000

- D.
₹10,000

Answer: Option D

**Explanation** :

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**4. SSC CHSL 3rd June Shift 2 - QA | Number Theory - SSC**

Which of the following numbers is NOT divisible by 36?

- A.
136216

- B.
124344

- C.
259884

- D.
120816

Answer: Option A

**Explanation** :

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**5. SSC CHSL 3rd June Shift 2 - QA | Coordinate Geometry - SSC**

Find the volume of a solid hemisphere whose radius is 6.3 cm.

(Use π = 22/7)

- A.
623.908 cm

^{3} - B.
823.908 cm

^{3} - C.
523.908 cm

^{3} - D.
723.908 cm

^{3}

Answer: Option C

**Explanation** :

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**6. SSC CHSL 3rd June Shift 2 - QA | Time & Work - SSC**

In one-sixth of the time that B takes to complete a piece of work, A can complete half of the same work. If working together they take 16 days to complete the work, how much time shall B take to complete it alone?

- A.
44 days

- B.
76 days

- C.
38 days

- D.
64 days

Answer: Option D

**Explanation** :

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**7. SSC CHSL 3rd June Shift 2 - QA | Trigonometry - SSC**

If 1 + tan θ = $\sqrt{3},$ then $\sqrt{3}$ cot θ - 1 = _________.

- A.
$\frac{\sqrt{3}+1}{2}$

- B.
$\frac{2\sqrt{3}-1}{2}$

- C.
$\frac{\sqrt{3}-1}{2}$

- D.
$\frac{2\sqrt{3}+1}{2}$

Answer: Option A

**Explanation** :

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**8. SSC CHSL 3rd June Shift 2 - QA | Percentage, Profit & Loss - SSC**

The price of an article is reduced by 30% but the daily sale of the article increased by 35%. The net percentage effect on the daily sale receipts is:

- A.
$5\frac{1}{2}$% increase

- B.
$6\frac{1}{2}$% increase

- C.
$5\frac{1}{2}$% decrease

- D.
$6\frac{1}{2}\%$ decrease

Answer: Option C

**Explanation** :

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**9. SSC CHSL 3rd June Shift 2 - QA | Simplification - SSC**

The value of is 52 − 5[2 + 32 − 2(5 − 3) + 5 − 10] ÷ 8 is:

- A.
41.315

- B.
51.375

- C.
40.375

- D.
50.375

Answer: Option B

**Explanation** :

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**10. SSC CHSL 3rd June Shift 2 - QA | Percentage, Profit & Loss - SSC**

A dealer had 120 kg of wheat. A part of it was sold by him at 10% gain and the rest at 25% gain. overall, he had a gain of 15%. How much of the wheat was sold at 10% gain?

- A.
50 kg

- B.
40 kg

- C.
60 kg

- D.
80 kg

Answer: Option D

**Explanation** :

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**11. SSC CHSL 3rd June Shift 2 - QA | Tables & Graphs - SSC**

The given pie chart shows the percentage wise distribution of books in 5 different states A, B, C, D and E. The total number of books is 2500.

What is the difference between the total number of books in states B and C together and the total number of books in states D and E together?

- A.
25

- B.
5

- C.
75

- D.
43

Answer: Option C

**Explanation** :

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**12. SSC CHSL 3rd June Shift 2 - QA | Simple Equation - SSC**

The area of a square is 4x^{2} - 12x + 9. Which of the following will be the side of the square?

- A.
(3x + 2)

- B.
(2x - 3)

- C.
(2x + 3)

- D.
(3x - 2)

Answer: Option B

**Explanation** :

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**13. SSC CHSL 3rd June Shift 2 - QA | Simple & Compound Interest - SSC**

If we want ₹8,640 three years from now and the compounded interest rate is 20% p.a how much should we invest today?

(assuming interest is compounded yearly)

- A.
₹4,500

- B.
₹5,000

- C.
₹6,000

- D.
₹5,500

Answer: Option B

**Explanation** :

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

In a 1500-m race, if A beats B by 100 m and B beats C by 150 m, then by what distance (in m) does A beat C?

- A.
150

- B.
240

- C.
140

- D.
100

Answer: Option B

**Explanation** :

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**15. SSC CHSL 3rd June Shift 2 - QA | Circles - SSC**

What is the radius of a sphere having volume of 4851 cm^{3}?

(Use π = 22/7)

- A.
10.5 cm

- B.
12.5 cm

- C.
9.5 cm

- D.
11.5 cm

Answer: Option A

**Explanation** :

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

With an average speed of 60 km/h, a train reaches its destination on time. If it goes with an average speed of 45 km/h, it is late by 20 minutes. The distance covered by the train is _____.

- A.
40 km

- B.
30 km

- C.
60 km

- D.
50 km

Answer: Option C

**Explanation** :

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**17. SSC CHSL 3rd June Shift 2 - QA | Simplification - SSC**

If a + b + c = 0, then find the value of $\frac{{a}^{2}+{b}^{2}+{c}^{2}}{{a}^{2}-bc}$.

- A.
-1

- B.
1

- C.
-2

- D.
2

Answer: Option D

**Explanation** :

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**18. SSC CHSL 3rd June Shift 2 - QA | Circles - SSC**

PQ and RS are two parallel chords of a circle of length 10 cm and 24 cm, respectively, and lie on the same side of the centre O. If the distance between the chords is 7 cm, what is the radius (in cm) of the circle?

- A.
7

- B.
13

- C.
11

- D.
9

Answer: Option B

**Explanation** :

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**19. SSC CHSL 3rd June Shift 2 - QA | Percentage, Profit & Loss - SSC**

A dealer purchased a food processor for ₹10,000. He offered a discount of 20% on its listed price and still gained a profit of 40%. Find the listed price of the food processor.

- A.
₹17,500

- B.
₹16,000

- C.
₹12,000

- D.
₹15,200

Answer: Option A

**Explanation** :

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**20. SSC CHSL 3rd June Shift 2 - QA | Tables & Graphs - SSC**

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

The pie-chart below represents the actual number of students securing different grades in a science test.

Calculate the percentage of students who took the test and secured a D grade.

- A.
2

- B.
16

- C.
4

- D.
8

Answer: Option D

**Explanation** :

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**21. SSC CHSL 3rd June Shift 2 - QA | Circles - SSC**

The surface area of a solid metallic sphere is 616 cm2. It is melted and recast into a solid cone of height 28 cm. Find the diameter of the base of the cone so formed.

(Take π = 22/7)

- A.
12 cm

- B.
10 cm

- C.
14 cm

- D.
16 cm

Answer: Option C

**Explanation** :

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**22. SSC CHSL 3rd June Shift 2 - QA | Ratio, Proportion & Variation - SSC**

Find the third proportional to 27 and 18.

- A.
36

- B.
12

- C.
48

- D.
9

Answer: Option B

**Explanation** :

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**23. SSC CHSL 3rd June Shift 2 - QA | Average, Mixture & Alligation - SSC**

Raman has a certain average after 9 innings. In the 10th inning he scores 100 runs, thereby increasing his average by 8 runs. His new average is ________.

- A.
24

- B.
28

- C.
20

- D.
22

Answer: Option B

**Explanation** :

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**24. SSC CHSL 3rd June Shift 2 - QA | Percentage, Profit & Loss - SSC**

In an election between two candidates, a candidate who gets 72% of votes is elected by a majority of 572 votes. Find the total number of the votes polled. (assuming all votes are valid)

- A.
1300

- B.
900

- C.
1500

- D.
1100

Answer: Option A

**Explanation** :

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**25. SSC CHSL 3rd June Shift 2 - QA | Tables & Graphs - SSC**

The following table shows the production of five. types of cars by a company for the years 2012 to 2015.

In which year was the total production of cars of types D2 and D3 taken together, equal to the total production of cars of types D4 and D5 taken together?

- A.
2013

- B.
2014

- C.
2012

- D.
2015

Answer: Option B

**Explanation** :

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