# SSC CHSL 27th May Shift 2 - QA

**1. SSC CHSL 27th May Shift 2 - QA | Percentage, Profit & Loss - SSC**

In an election, there were three candidates: A, B and C. 10% of the eligible voters did not vote. Out of those who voted, 45% voted for A, 35% voted for B and the remaining 20% voted for C. 30% of the votes polled for A and 20% of the votes polled for B were later deemed invalid, while all the votes polled for C were deemed valid. If A got 882 more valid votes than B did, how many valid votes did C receive?

- A.
5020

- B.
5040

- C.
5050

- D.
5060

Answer: Option B

**Explanation** :

Let the total number of votes polled = 100x

Out of these 100x, votes polled for

A = 45x, B = 35x and C = 20x

Valid votes for

A = 31.5x, B = 28x and C = 20x

Given, A - B = 882

⇒ 31.5x - 28x = 882

⇒ x = 252

∴ Number of votes received by C = 20x = 5040.

Hence, option (b).

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**2. SSC CHSL 27th May Shift 2 - QA | Trigonometry - SSC**

If cos 2A = sin 75° then the smallest positive value of A is:

- A.
15°

- B.
7.5°

- C.
30°

- D.
37.5°

Answer: Option B

**Explanation** :

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**3. SSC CHSL 27th May Shift 2 - QA | Circles - SSC**

The frustum of a right circular cone has the radius of the base as 5 cm, radius of the top as 3 cm, and height as 6 cm. What is its volume?

- A.
98 π cm

^{3} - B.
100 π cm

^{3} - C.
96 π cm

^{3} - D.
90 π cm

^{3}

Answer: Option A

**Explanation** :

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**4. SSC CHSL 27th May Shift 2 - QA | Circles - SSC**

Find the total surface area of a closed hemisphere whose radius is 3.5 cm.

(Use π = 22/7)

- A.
114.5 cm

^{2} - B.
113.5 cm

^{2} - C.
115.5 cm

^{2} - D.
112.5 cm

^{2}

Answer: Option C

**Explanation** :

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**5. SSC CHSL 27th May Shift 2 - QA | Tables & Graphs - SSC**

The table below gives the numbers (in thousand) of different types of geysers sold by a company in six consecutive years.

What is the difference in the number of type B geysers sold in 2010 and 2012?

- A.
44000

- B.
42000

- C.
41000

- D.
45000

Answer: Option A

**Explanation** :

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**6. SSC CHSL 27th May Shift 2 - QA | Time, Speed & Distance - SSC**

A thief is noticed by a policeman from a distance of 650 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 8 km and 10.5 km per hour, respectively. The distance (in metres) between them after 12 minutes is:

- A.
150

- B.
85

- C.
125

- D.
100

Answer: Option A

**Explanation** :

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**7. SSC CHSL 27th May Shift 2 - QA | Percentage, Profit & Loss - SSC**

The price of a cell phone is ₹20,000. On Sundays, the shopkeeper offers a cash discount of ₹1,000 on the purchase of the cell phone. Further, if someone purchases it through a credit card, he gives 5% additional discount. If someone is purchasing the cell phone on a Sunday through a credit card, then how much does he/she have to pay?

- A.
₹18,350

- B.
₹18,900

- C.
₹18,050

- D.
₹18,500

Answer: Option C

**Explanation** :

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**8. SSC CHSL 27th May Shift 2 - QA | Percentage, Profit & Loss - SSC**

The price of a tablet is first increased by 10%, and then decreased by 2.5% due to reduction in sales. What is the net percentage change in the final price of the tablet?

- A.
Decrease by 8.75%

- B.
Increase by 7.25%

- C.
Increase by 6.35%

- D.
Decrease by 5.5%

Answer: Option B

**Explanation** :

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**9. SSC CHSL 27th May Shift 2 - QA | Simplification - SSC**

Which of the following can be a rationalising factor of ($\sqrt{2}$ + $\sqrt{3}$ + $\sqrt{5}$)?

- A.
($\sqrt{2}$ - $\sqrt{3}$ - $\sqrt{5}$)$\sqrt{6}$

- B.
($\sqrt{2}$ + $\sqrt{3}$ - $\sqrt{5}$)$\sqrt{6}$

- C.
($\sqrt{2}$ - $\sqrt{3}$ + $\sqrt{5}$)$\sqrt{6}$

- D.
($\sqrt{2}$ + $\sqrt{3}$ + $\sqrt{5}$)$\sqrt{6}$

Answer: Option B

**Explanation** :

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**10. SSC CHSL 27th May Shift 2 - QA | Ratio, Proportion & Variation - SSC**

What is the fourth proportional to 16, 24, 8?

- A.
12

- B.
8

- C.
24

- D.
16

Answer: Option A

**Explanation** :

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**11. SSC CHSL 27th May Shift 2 - QA | Circles - SSC**

The volume of a cone of radius 13 cm is 507 πcm^{3}. Find its height.

- A.
12 cm

- B.
27 cm

- C.
18 cm

- D.
9 cm

Answer: Option D

**Explanation** :

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**12. SSC CHSL 27th May Shift 2 - QA | Circles - SSC**

In the given figure, if ∠RPS = 25°, the value of ∠ROS is _______.

- A.
155°

- B.
145°

- C.
135°

- D.
165°

Answer: Option A

**Explanation** :

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**13. SSC CHSL 27th May Shift 2 - QA | Tables & Graphs - SSC**

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

The table shows quantity of various food items used by a restaurant during four months of a year (in kg).

The quantity of wheat used in the month of July is what percentage of the total quantity of food items used in June?

- A.
29$\frac{16}{27}$%

- B.
29$\frac{17}{27}$%

- C.
29$\frac{18}{27}$%

- D.
29$\frac{15}{27}$%

Answer: Option B

**Explanation** :

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**14. SSC CHSL 27th May Shift 2 - QA | Percentage, Profit & Loss - SSC**

Subir claimed to sell his items at only 5% above the cost of production, but used a weight that had 1 kg written on it, though it actually weighed 960 grams. What was the actual profit percentage earned by Subir?

- A.
9.125%

- B.
9.375%

- C.
9.25%

- D.
9.5%

Answer: Option B

**Explanation** :

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**15. SSC CHSL 27th May Shift 2 - QA | Simple Equation - SSC**

When f(x) = 15x^{3} − 14x^{2} − 4x + 10 is divided by (3x + 2), then the remainder is:

- A.
-1

- B.
1

- C.
-2

- D.
2

Answer: Option D

**Explanation** :

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**16. SSC CHSL 27th May Shift 2 - QA | Average, Mixture & Alligation - SSC**

The average present age of four members of a family is 27 years and average increases by 3 years when one of their relatives joins them. The age of the relative is:

- A.
40 years

- B.
42 years

- C.
46 years

- D.
44 years

Answer: Option B

**Explanation** :

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**17. SSC CHSL 27th May Shift 2 - QA | Percentage, Profit & Loss - SSC**

In an engineering institution, a student’s grade is assessed based on Internal tests (30%), assignments (30%) and external exams (40%). If a student scored 90% in internal tests, 95% in assignments and 75% in the external exams, then the overall grade of the student is:

- A.
86.25 %

- B.
85.25%

- C.
86%

- D.
85.50%

Answer: Option D

**Explanation** :

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**18. SSC CHSL 27th May Shift 2 - QA | Tables & Graphs - SSC**

The following pie chart shows the spending of a country on tourism in various districts during a particular year. Total spending of the country= ₹15,62,000

Study the pie chart and answer the following question.

How much less money (in ₹} is spent on district C than on district E?

- A.
65790

- B.
60890

- C.
66780

- D.
62480

Answer: Option D

**Explanation** :

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**19. SSC CHSL 27th May Shift 2 - QA | Simple Equation - SSC**

983^{2} - 17^{2} = ?

- A.
96600

- B.
9662

- C.
9660000

- D.
966000

Answer: Option D

**Explanation** :

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**20. SSC CHSL 27th May Shift 2 - QA | Time & Work - SSC**

30 men can complete a piece of work in 24 days. 12 days after they started working together, 10 more men joined them. How many days will they now take to complete the remaining work?

- A.
12 days

- B.
8 days

- C.
10 days

- D.
9 days

Answer: Option D

**Explanation** :

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**21. SSC CHSL 27th May Shift 2 - QA | Percentage, Profit & Loss - SSC**

The difference between a discount of 35% on ₹8,000 and two successive discounts of 20% and 15% on the same amount is:

- A.
₹240

- B.
₹320

- C.
₹540

- D.
₹800

Answer: Option A

**Explanation** :

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**22. SSC CHSL 27th May Shift 2 - QA | Number Theory - SSC**

What is the largest 6-digit number divisible by 52?

- A.
999984

- B.
999999

- C.
999960

- D.
100000

Answer: Option C

**Explanation** :

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**23. SSC CHSL 27th May Shift 2 - QA | Average, Mixture & Alligation - SSC**

The average speed of a train running at a speed of 30 km/h during the first 100 km, at the speed of 40 km/h during the second 100 km and at the speed of 50 km/h during the last 100 km is nearly ________.

- A.
40.2 km/h

- B.
38.3 km/h

- C.
39.2 km/h

- D.
37.5 km/h

Answer: Option B

**Explanation** :

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**24. SSC CHSL 27th May Shift 2 - QA | Simple & Compound Interest - SSC**

The population of a country has been growing at a rate of 4% every decade. If the projected population of the country in 2030 is given as 1,58,18,400, what was the population of the country in 2000?

- A.
1,40,62,000

- B.
1,40,65,200

- C.
1,40,56,200

- D.
1,40,62,500

Answer: Option D

**Explanation** :

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**25. SSC CHSL 27th May Shift 2 - QA | Simplification - SSC**

What is the value of

1980 ÷ 9 + [- 77 + {- 1980 + ($\frac{1}{4}$ of 7920)}]?

- A.
1980

- B.
143

- C.
164

- D.
1990

Answer: Option B

**Explanation** :

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