# SSC CHSL 6th June Shift 1 - QA

**1. SSC CHSL 6th June Shift 1 - QA | Percentage, Profit & Loss - SSC**

In an election that was contested by 2 candidates, one candidate got 20% of the total votes and yet lost by 600 votes. What is the total number of votes cast in the election, assuming all votes are valid?

- A.
900

- B.
700

- C.
800

- D.
1000

Answer: Option D

**Explanation** :

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**2. SSC CHSL 6th June Shift 1 - QA | Average, Mixture & Alligation - SSC**

Find the average of the numbers 61, 51, 41, 31, 21 and 11.

- A.
36

- B.
42

- C.
32

- D.
22

Answer: Option A

**Explanation** :

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**3. SSC CHSL 6th June Shift 1 - QA | Time & Work - SSC**

20 workers can paint 24 walls in 36 days. In how many days can 30 workers paint 20 walls?

- A.
20

- B.
30

- C.
24

- D.
15

Answer: Option A

**Explanation** :

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

Simplify:

$\frac{{\displaystyle \frac{27}{14}}\xf7{\displaystyle \frac{24}{7}}\mathrm{of}{\displaystyle \frac{63}{28}}-{\displaystyle \frac{9}{4}}}{{\displaystyle \frac{35}{8}}\xf7{\displaystyle \frac{15}{4}}\mathrm{of}{\displaystyle \frac{7}{48}}+{\displaystyle \frac{5}{16}}}$ ÷ $\frac{196}{95}$

- A.
$-\frac{40}{357}$

- B.
$\frac{40}{343}$

- C.
$-\frac{40}{343}$

- D.
$-\frac{40}{243}$

Answer: Option C

**Explanation** :

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**5. SSC CHSL 6th June Shift 1 - QA | Trigonometry - SSC**

If tan θ + $\frac{1}{\mathrm{tan}\theta}$ = 2, then the value of tan² θ + $\frac{1}{{\mathrm{tan}}^{2}\theta}$ is _________.

- A.
-4

- B.
2

- C.
4

- D.
3

Answer: Option B

**Explanation** :

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**6. SSC CHSL 6th June Shift 1 - QA | Tables & Graphs - SSC**

The year wise production of a company (in tonnes) is given in the following table.

From 2001-02 to 2008-09 generally the production was increased, with the exception of one year. The year was:

- A.
2005-06

- B.
2004-05

- C.
2002-03

- D.
2006-07

Answer: Option A

**Explanation** :

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

If (a - 1) 2 + (b + 2) 2 + (c - 1) 2 = 0 , then the value of a^{2} + b^{2} + c^{2} is:

- A.
6

- B.
0

- C.
2

- D.
1

Answer: Option A

**Explanation** :

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**8. SSC CHSL 6th June Shift 1 - QA | Tables & Graphs - SSC**

Based on the data given in the following table, find the arithmetic- mean of the number of major meals that included a potatobased dish,which the 39 students surveyed had eaten in a week.

- A.
7

- B.
5

- C.
6

- D.
8

Answer: Option C

**Explanation** :

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**9. SSC CHSL 6th June Shift 1 - QA | Simple Equation - SSC**

Simplify the following expression.

(2.19)^{2 }+ 2(2.19) (3.81) + (3.81)^{2}

- A.
216

- B.
12

- C.
36

- D.
6

Answer: Option C

**Explanation** :

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**10. SSC CHSL 6th June Shift 1 - QA | Percentage, Profit & Loss - SSC**

An article is sold for ₹840 after two successive discounts of 20% and 30% on its marked price. What is the discount (in ₹)?

- A.
660

- B.
460

- C.
560

- D.
760

Answer: Option A

**Explanation** :

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**11. SSC CHSL 6th June Shift 1 - QA | Percentage, Profit & Loss - SSC**

The marked price of a mobile phone is 12% more than its cost price. If a discount of 8% is given on the marked price, then the gain per cent is:

- A.
2.92%

- B.
2.12%

- C.
3.04%

- D.
4.03%

Answer: Option C

**Explanation** :

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**12. SSC CHSL 6th June Shift 1 - QA | Coordinate Geometry - SSC**

The diameter of the base and the slant height of a right circular cone are 10 cm and 16 cm, respectively.

Find its total surface area.

[Use π = 22/7]

- A.
$\frac{5720}{7}$ cm²

- B.
$\frac{720}{7}$ cm²

- C.
330 cm²

- D.
$\frac{1760}{7}$ cm²

Answer: Option C

**Explanation** :

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**13. SSC CHSL 6th June Shift 1 - QA | Simple & Compound Interest - SSC**

On a certain sum, the difference between the compound interest, compounded annually, and the simple interest at 10% per annum for 3 years is ₹93. The sum is:

- A.
₹3,500

- B.
₹3,000

- C.
₹4,000

- D.
₹2,500

Answer: Option B

**Explanation** :

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**14. SSC CHSL 6th June Shift 1 - QA | Percentage, Profit & Loss - SSC**

If the tax on a commodity is diminished by 20% and its consumption increased by 15%, the revenue decreases by:

- A.
8%

- B.
12%

- C.
10%

- D.
6%

Answer: Option A

**Explanation** :

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**15. SSC CHSL 6th June Shift 1 - QA | Tables & Graphs - SSC**

The following bar graph shows the data of the number of students of different classes who like to eat different types of fruits.

Find the ratio of the number of students from class 7 who like guavas to the number of students from Class 5 who like mangoes.

- A.
5 : 7

- B.
1 : 1

- C.
2 : 1

- D.
1 : 2

Answer: Option B

**Explanation** :

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**16. SSC CHSL 6th June Shift 1 - QA | Time, Speed & Distance - SSC**

A train running at the speed of 63 km/h crosses a pole in 24 seconds. What is the length of the train?

- A.
360 m

- B.
320 m

- C.
280 m

- D.
420 m

Answer: Option D

**Explanation** :

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**17. SSC CHSL 6th June Shift 1 - QA | Coordinate Geometry - SSC**

The maximum number of 4m 50 cm 20 cm slabs that may be stored in a 16m long, 12m wide, and 4m deep trench is:

- A.
1910

- B.
1890

- C.
1960

- D.
1920

Answer: Option D

**Explanation** :

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**18. SSC CHSL 6th June Shift 1 - QA | Triangles - SSC**

The height and slant height of a conical vessel are 12 cm and 13 cm, respectively. The capacity of the vessel is: (Use π = 3.14)

- A.
0.314 litres

- B.
0.424 litres

- C.
0.5 litres

- D.
0.298 litres

Answer: Option A

**Explanation** :

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**19. SSC CHSL 6th June Shift 1 - QA | Triangles - SSC**

If ∆ABC ~ ∆QRP, $\frac{ar(\u2206ABC)}{ar(\u2206QRP)}$ = $\frac{9}{4}$, AB=18 cm, BC=15 cm, then the length of PR is ______.

- A.
10 cm

- B.
12 cm

- C.
16 cm

- D.
14 cm

Answer: Option A

**Explanation** :

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**20. SSC CHSL 6th June Shift 1 - QA | Time, Speed & Distance - SSC**

A girl travels 30 km at a speed of 15 km/h. She travels another 20 km at a speed of 10 km/h. What is her average speed for the entire journey?

- A.
15 km/h

- B.
12.5 km/h

- C.
13 km/h

- D.
11.5 km/h

Answer: Option B

**Explanation** :

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**21. SSC CHSL 6th June Shift 1 - QA | Ratio, Proportion & Variation - SSC**

Find the 3rd proportional to 9 and 21.

- A.
49

- B.
12

- C.
30

- D.
81

Answer: Option A

**Explanation** :

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**22. SSC CHSL 6th June Shift 1 - QA | Number Theory - SSC**

How many positive two-digit numbers can be divided by 6?

- A.
12

- B.
15

- C.
14

- D.
13

Answer: Option B

**Explanation** :

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**23. SSC CHSL 6th June Shift 1 - QA | Average, Mixture & Alligation - SSC**

The average score of a cricket team (of ten players and one captain) is 32. The scores of ten players are: 22, 11, 5, 34, 21, 32, 0, 28, 9 and 53. What is the score of the captain?

- A.
129

- B.
137

- C.
115

- D.
121

Answer: Option B

**Explanation** :

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

The value of $\frac{{(a-b)}^{3}+{(b-c)}^{3}+{(c-a)}^{3}}{{({a}^{2}-{b}^{2})}^{3}+{({b}^{2}-{c}^{2})}^{3}+{({c}^{2}-{a}^{2})}^{3}}$ is equal to:

- A.
ab + bc + ca

- B.
0

- C.
1

- D.
$\frac{1}{(a+b)(b+c)(c+a)}$

Answer: Option D

**Explanation** :

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**25. SSC CHSL 6th June Shift 1 - QA | Percentage, Profit & Loss - SSC**

Vishnu sold two items X and Y for ₹600 each, thereby gaining 20% on item X and losing 20% on item Y. Find his overall loss or gain percentage.

- A.
Loss of 4%

- B.
Gain of 4%

- C.
Loss of 41.6%

- D.
Loss or gain of 0%

Answer: Option A

**Explanation** :

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