# SSC CHSL 6th June Shift 2 - QA

**1. SSC CHSL 6th June Shift 2 - QA | Simplification - SSC**

16a^{2} + 4b^{2} - 9c^{2} - 16ab - 12bc - 24ca = ?

- A.
(4a - 2b + 3c)

^{2} - B.
(4a - 2b - 3c)

^{2} - C.
(4a + 2b - 3c)

^{2} - D.
(4a + 2b + 3c)

^{2}

Answer: Option B

**Explanation** :

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

The table below shows the expenditure of a company (in lakhs of rupees per annum) in five consecutive years as mentiond. Study the table and answer the question that follows.

As per the information provided in the table, the positive difference between the yearly average expenditure on salaries and taxes of the company is ________.

- A.
₹286 lakhs

- B.
₹342 lakhs

- C.
₹298 lakhs

- D.
₹322 lakhs

Answer: Option D

**Explanation** :

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**3. SSC CHSL 6th June Shift 2 - QA | Simplification - SSC**

Simplify the following expression.

- A.
140

- B.
50

- C.
70

- D.
100

Answer: Option C

**Explanation** :

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**4. SSC CHSL 6th June Shift 2 - QA | Triangles - SSC**

If the corresponding angles of two triangles are equal and satisfy $\frac{PX}{ER}$ = $\frac{ZX}{RF}$ = $\frac{PZ}{EF}$, then:

- A.
∆PXZ is similar to ∆EFR

- B.
∆PXZ is similar to ∆ERF

- C.
∆XPZ is similar to ∆ERF

- D.
∆PXZ is similar to ∆REF

Answer: Option B

**Explanation** :

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**5. SSC CHSL 6th June Shift 2 - QA | Coordinate Geometry - SSC**

If the length of diagonal of a cube is 8$\sqrt{3}$ cm then what is its surface area?

- A.
164 cm

^{2} - B.
64 cm

^{2} - C.
384 cm

^{2} - D.
204 cm

^{2}

Answer: Option C

**Explanation** :

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**6. SSC CHSL 6th June Shift 2 - QA | Trigonometry - SSC**

The value of sin 8° is given as $\frac{\sqrt{5}-1}{4}$. Find the value of cosec 18°.

- A.
$\frac{\sqrt{5}+1}{4}$

- B.
$\frac{\sqrt{5}+1}{2}$

- C.
$\sqrt{5}$ - 1

- D.
$\sqrt{5}$ + 1

Answer: Option D

**Explanation** :

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**7. SSC CHSL 6th June Shift 2 - QA | Simplification - SSC**

The value of (7 + 8 - 9 ÷ 3 × 2) + [52 - 4 of 5 + 4 × 7] is:

- A.
61

- B.
277

- C.
69

- D.
64

Answer: Option C

**Explanation** :

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

A work is done by P & Q, Q & R, and R & P in 12, 15, and 20 days, respectively. How many days will P alone take to complete the work?

- A.
35 days

- B.
25 days

- C.
40 days

- D.
30 days

Answer: Option D

**Explanation** :

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**9. SSC CHSL 6th June Shift 2 - QA | Boats and Streams - SSC**

A man can swim in still water at a speed of 6 km/h, but he takes thrice as long to swim upstream as downstream. The speed of the man, when swimming downstream is:

- A.
3 km/h

- B.
2 km/h

- C.
9 km/h

- D.
6 km/h

Answer: Option C

**Explanation** :

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

If 30 men can harvest a meadow in 7 days, in how many days can 21 men harvest the same meadow?

- A.
10

- B.
14

- C.
12

- D.
15

Answer: Option A

**Explanation** :

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

A shopkeeper gives 15% and 35% discounts on a bottle. If the selling price of the bottle is ₹1,547, then the marked price of the bottle is:

- A.
₹2,400

- B.
₹2,500

- C.
₹ 2,700

- D.
₹2,800

Answer: Option D

**Explanation** :

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**12. SSC CHSL 6th June Shift 2 - QA | Average, Mixture & Alligation - SSC**

A batsman in his 11th inning scores 88 runs, thereby increasing his average score by 4. What is his average after the 11th innings?

- A.
49

- B.
47

- C.
48

- D.
46

Answer: Option C

**Explanation** :

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

In an election between two candidates, one got 40% of the total valid votes, and 30% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got was:

- A.
1540

- B.
3250

- C.
2350

- D.
3150

Answer: Option D

**Explanation** :

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**14. SSC CHSL 6th June Shift 2 - QA | Tables & Graphs - SSC**

The table below shows the number of cakes sold by six different bakeries in a town on five different days of a particular week.

The total number of cakes sold by Bakery C on saturday and Sunday, take together; is approximately what percentage of the number of cakes sold by Bakery E on Tuesday?

- A.
125

- B.
130

- C.
128

- D.
132

Answer: Option D

**Explanation** :

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**15. SSC CHSL 6th June Shift 2 - QA | Coordinate Geometry - SSC**

It the diagonal of a rhombus is 8 cm and its area is 48 cm^{2}, then the length of each side of the rhombus is:

- A.
$\sqrt{13}$ cm

- B.
2$\sqrt{13}$ cm

- C.
6$\sqrt{13}$ cm

- D.
5$\sqrt{13}$ cm

Answer: Option B

**Explanation** :

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

A dishonest dealer is selling sugar at ₹40 per kg and pretending that he is selling it at a loss of ₹5 per kg but he actually gives 800 g instead of 1 kg, using a faulty weight.

What is his actual profit or loss percent?

- A.
Gain, 11%

- B.
Gain, 11$\frac{1}{9}$

- C.
Loss, 10$\frac{1}{9}$

- D.
Loss, 9$\frac{1}{9}$

Answer: Option B

**Explanation** :

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**17. SSC CHSL 6th June Shift 2 - QA | Number Theory - SSC**

The number 5132832 is divisible by ____.

- A.
8

- B.
6

- C.
7

- D.
9

Answer: Option B

**Explanation** :

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**18. SSC CHSL 6th June Shift 2 - QA | Coordinate Geometry - SSC**

The diagonal of a rectangle is 17 cm long and its perimeter is 46 cm. The area of the rectangle is:

- A.
120 cm

^{2} - B.
125 cm

^{2} - C.
115 cm

^{2} - D.
130 cm

^{2}

Answer: Option A

**Explanation** :

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**19. SSC CHSL 6th June Shift 2 - QA | Simple Equation - SSC**

If a + b = 8 and a − b = 6, then find the value of ‘ab’.

- A.
6

- B.
8

- C.
5

- D.
7

Answer: Option D

**Explanation** :

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**20. SSC CHSL 6th June Shift 2 - QA | Average, Mixture & Alligation - SSC**

What is the average of the following data?

1.2, 1.7, 3, 4.8, 10.5, 17.3 and 24.5

- A.
9

- B.
7

- C.
6

- D.
11

Answer: Option A

**Explanation** :

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

The selling price of a watch after successive discounts of 20% and 20% is ₹640. What is the marked price of the watch?

- A.
₹1,000

- B.
₹800

- C.
₹900

- D.
₹1,200

Answer: Option A

**Explanation** :

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**22. SSC CHSL 6th June Shift 2 - QA | Tables & Graphs - SSC**

The pie-chart given below given information about the number of students from five sections.A,B,C,D. and E. of Class 12 of a school to have appeared and to have passed in the final examination The pie-chart on the left given the central angles of the sectors represent the students appearing in the exam from the five different section.while the pie-chart on the right gives the section-wise numbers of students to pass the exam as percentages of the total number of students who passed the exam from all the five sections taken together.

Find the ratio of the average of the number of students who appeared in the exam from section A, B, and C to the average of the numbers of students who passed from Sections B, C and D.

- A.
106 : 28

- B.
13 : 6

- C.
28 : 53

- D.
12 : 7

Answer: Option D

**Explanation** :

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**23. SSC CHSL 6th June Shift 2 - QA | Simple & Compound Interest - SSC**

What will be the present value of ₹ 484 due in 2 years at 10% per annum compound interest?

- A.
₹600

- B.
₹400

- C.
₹200

- D.
₹800

Answer: Option B

**Explanation** :

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**24. SSC CHSL 6th June Shift 2 - QA | Time, Speed & Distance - SSC**

A train takes 3 hours to travel from place A to B at the speed of 60 km/h. The same train takes 2 hours to travel from B to C at 50% increased speed. What is the average speed of the train from place A to C?

- A.
60 km/h

- B.
90 km/h

- C.
80 km/h

- D.
72 km/h

Answer: Option D

**Explanation** :

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**25. SSC CHSL 6th June Shift 2 - QA | Ratio, Proportion & Variation - SSC**

In an election four candidates were there in the fray, out of which three were nominated from the three national parties and they got votes in a ratio of 2:3:4.The total votes polled were 1,89,000 and the fourth candidate got 18,000 votes. The votes obtained by the three candidates of the national parties are respectively:

(assuming all votes valid)

- A.
38,000, 57,000 and 76,000

- B.
34,000, 51,000 and 68,000

- C.
36,000, 54,000 and 72,000

- D.
40,000, 60,000 and 80,000

Answer: Option A

**Explanation** :

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