# SSC CHSL 30th May Shift 3 - QA

**1. SSC CHSL 30th May Shift 3 - QA | Tables & Graphs - SSC**

**Study the given bar-graph and answer the question that follows.**

The given bar-graph shows the exports and imports (in crores of rupees) of five companies in a particular financial year.

Based on the given information, the ratio of exports to imports is highest in company _____ .

- A.
A

- B.
D

- C.
B

- D.
E

Answer: Option C

**Explanation** :

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**2. SSC CHSL 30th May Shift 3 - QA | Average, Mixture & Alligation - SSC**

The average runs scored by Sunil in 17 innings is 37. What is his score in the 17th inning, thereby, increasing his average score by 9 runs?

- A.
81

- B.
108

- C.
181

- D.
167

Answer: Option C

**Explanation** :

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**3. SSC CHSL 30th May Shift 3 - QA | Percentage, Profit & Loss - SSC**

In a company, there are only two types of employees: workers and officers. The average monthly salary of an officer is ₹78,000 more than the combined average monthly salary of an employee, while the combined average monthly salary of an employee is ₹42,000 more than the average monthly salary of a worker. What percentage of all the employees are officers?

- A.
28%

- B.
35%

- C.
30%

- D.
32%

Answer: Option B

**Explanation** :

Let the average salary of an worker be Rs. 's'.

∴ Average salary of a worker = s + 42,000

∴ Average salary of an officer = s + 42,000 + 78,000 = s + 120000

Now let the number of workers be 'w' and number of officers be 'o'.

⇒ Total salary = Salary of workers + Salary of Officers

⇒ (w + o) × (s + 42000) = w × s + o × (s + 120000)

⇒ ws + 42000s + os + 42000o = w × s + os + 120000o

⇒ 42000s + 42000o = 120000o

⇒ 42000s = 78000o

⇒ s/o = 78000/42000 = 39/21 = 13/7

∴ Percentage of officers in the office = 7/(7 + 13) × 100% = 35%

Hence, option (b).

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**4. SSC CHSL 30th May Shift 3 - QA | Trigonometry - SSC**

If α is an acute angle, which of the following options will NOT necessarily be equal to the value of sec α?

- A.
$\frac{1}{\mathrm{cos}\alpha}$

- B.
$\frac{1}{\mathrm{sin}\alpha}$

- C.
$\sqrt{1+{\mathrm{tan}}^{2}\alpha}$

- D.
$\frac{\mathrm{tan}\alpha}{\mathrm{sin}\alpha}$

Answer: Option B

**Explanation** :

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**5. SSC CHSL 30th May Shift 3 - QA | Circles - SSC**

What is the volume of a right circular cylinder whose curved surface area is 12 π cm^{2} and the circumference of its base is 4 π cm?

- A.
48π cm

^{3} - B.
36π cm

^{3} - C.
12π cm

^{3} - D.
24π cm

^{3}

Answer: Option C

**Explanation** :

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**6. SSC CHSL 30th May Shift 3 - QA | Circles - SSC**

The curved surface area of a right circular cone of radius 28 cm is 4664 cm2. What is the slant height of the cone?

(Use π = 22/7)

- A.
53 cm

- B.
56 cm

- C.
64 cm

- D.
48 cm

Answer: Option A

**Explanation** :

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**7. SSC CHSL 30th May Shift 3 - QA | Percentage, Profit & Loss - SSC**

The number 36 is increased by a certain percentage and becomes 6c: Calculate that percentage.

- A.
50%

- B.
75%

- C.
60%

- D.
85%

Answer: Option B

**Explanation** :

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**8. SSC CHSL 30th May Shift 3 - QA | Ratio, Proportion & Variation - SSC**

Find the third proportion to 16 and 24:

- A.
30

- B.
32

- C.
36

- D.
42

Answer: Option C

**Explanation** :

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**9. SSC CHSL 30th May Shift 3 - QA | Simple Equation - SSC**

If a + b = 25, then (a - 15)^{3} + (b - 10)^{3} is:

- A.
125

- B.
0

- C.
625

- D.
225

Answer: Option B

**Explanation** :

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**10. SSC CHSL 30th May Shift 3 - QA | Simple Equation - SSC**

If p^{3} + 3p^{2} + 3p = 26, then the value of p^{2} + 2p is:

- A.
8

- B.
12

- C.
10

- D.
15

Answer: Option A

**Explanation** :

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**11. SSC CHSL 30th May Shift 3 - QA | Coordinate Geometry - SSC**

In a triangle ABC, CA is produced to P, ∠BAP = 126°. If ∠B : ∠C = 5 : 2, the degree measures of ∠B and ∠C are respectively:

- A.
90° and 36°

- B.
84° and 42°

- C.
78° and 48°

- D.
70° and 56°

Answer: Option A

**Explanation** :

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**12. SSC CHSL 30th May Shift 3 - QA | Percentage, Profit & Loss - SSC**

When the price of a watch was reduced by 20%, the number of watches sold is increased by 40%. What was the effect on the sales in percentage?

- A.
12% increase

- B.
30% decrease

- C.
12% decrease

- D.
30% increase

Answer: Option A

**Explanation** :

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**13. SSC CHSL 30th May Shift 3 - QA | Tables & Graphs - SSC**

Study the given table and answer the question that follows.

The average number of tests per day per lakh in the four countries is:

- A.
15400

- B.
15500

- C.
15600

- D.
15000

Answer: Option D

**Explanation** :

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**14. SSC CHSL 30th May Shift 3 - QA | Simplification - SSC**

**Simplify:**

$\left[{\left(5\frac{1}{2}\right)}^{2}-{\left(2\frac{3}{4}\right)}^{2}\right]$ ÷ $2\frac{3}{4}$.

- A.
8$\frac{1}{4}$

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

- C.
8$\frac{3}{4}$

- D.
2$\frac{3}{4}$

Answer: Option A

**Explanation** :

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**15. SSC CHSL 30th May Shift 3 - QA | Tables & Graphs - SSC**

The given table shows the revenue, cost and tax rate for a company for a period of 6 years. The revenue and cost are given in Rs. lakhs.

Profit = Revenue - Cost

Profit after tax for any year = Profit for that year - Tax for that year

Tm, for any year = Tax rate for that year Profit for that year

Find the total sum (in Rs. lakhs) of profit after tax for 20 15 to 2020 .

- A.
206.6

- B.
196.8

- C.
220.2

- D.
215.3

Answer: Option A

**Explanation** :

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**16. SSC CHSL 30th May Shift 3 - QA | Simplification - SSC**

Simplify the following:

6 × {6 of (6 + 6)} ÷ {(6 ÷ 6) × (600% of 6)}

- A.
12

- B.
15552

- C.
108

- D.
6

Answer: Option A

**Explanation** :

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**17. SSC CHSL 30th May Shift 3 - QA | Percentage, Profit & Loss - SSC**

A book is sold for ₹1,554 by allowing a discount of 26% on its marked price. Find the marked price of the book.

- A.
₹1,854

- B.
₹2,100

- C.
₹1,750

- D.
₹2,000

Answer: Option B

**Explanation** :

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**18. SSC CHSL 30th May Shift 3 - QA | Time, Speed & Distance - SSC**

Malay walks around a circular field at the rate of 7 rounds per hour,while Neha runs around it at the rate of 11 rounds per hour. They start in the same direction from the same point at 02:45 p.m. They shall first cross each other at:

- A.
03:00 p.m.

- B.
03:05 p.m.

- C.
02:50 p.m.

- D.
03:00 a.m.

Answer: Option A

**Explanation** :

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**19. SSC CHSL 30th May Shift 3 - QA | Time & Work - SSC**

A can do a piece of work alone in 96 days and B can do it alone in 104 days. In how many days can the duo, working together, complete the work?

- A.
49.94

- B.
49.92

- C.
49.96

- D.
49.88

Answer: Option B

**Explanation** :

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**20. SSC CHSL 30th May Shift 3 - QA | Trigonometry - SSC**

The Earth makes a complete rotation about its axis in 24 hours. Through what angle will it turn in 3 hours 30 minutes?

- A.
60°

- B.
65°

- C.
50°

- D.
5b:5°

Answer: Option D

**Explanation** :

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**21. SSC CHSL 30th May Shift 3 - QA | Simple & Compound Interest - SSC**

What is the compound interest on ₹20,000 for 9 months at the rate of 4% per annum, when interest is compounded quarterly?

- A.
₹610

- B.
₹606.02

- C.
₹609.05

- D.
₹605

Answer: Option B

**Explanation** :

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**22. SSC CHSL 30th May Shift 3 - QA | Percentage, Profit & Loss - SSC**

The marked price of a shirt is ₹2,150. Let two successive discounts offered by the store be 10% and ‘x%’. If the selling price of the shirt is ₹1,505, then calculate the value of ‘x’.

[Give your answer correct to two decimal places.]

- A.
24.44%

- B.
24.24%

- C.
22.22%

- D.
22.42%

Answer: Option C

**Explanation** :

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**23. SSC CHSL 30th May Shift 3 - QA | Simple & Compound Interest - SSC**

Romesh opened a fixed deposits account in his bank for 3 years by depositing ₹80,000.The bank has promised to pay him compound interest annually at the rate of 7% per annum. What is the maturity value of his FDR? (Nearest to a ₹)

- A.
₹98,003

- B.
₹98,970

- C.
₹98,010

- D.
₹98,900

Answer: Option A

**Explanation** :

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**24. SSC CHSL 30th May Shift 3 - QA | Number Theory - SSC**

If the number 5X8146Y is divisible by 88, then what is the value of X?

- A.
3

- B.
1

- C.
2

- D.
4

Answer: Option A

**Explanation** :

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**25. SSC CHSL 30th May Shift 3 - QA | Percentage, Profit & Loss - SSC**

A man bought a piece of land for ₹48,000. He sold two-fifth of it at a loss of 10%. At what gain percentage (rounded off to 1 decimal place) should he sell the remaining land to earn an overall profit of 42%?

- A.
76.7%

- B.
84.3%

- C.
79.5%

- D.
89.8%

Answer: Option A

**Explanation** :

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