# SSC CHSL 25th May Shift 2 - QA

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

In Class 8 of a school, the ratio of students playing cricket to those playing football is 27 : 13, while the ratio of those playing football to those playing hockey is 26 : 14. If the total number of students in Class 8 is 470, and each student plays exactly one game, find the percentage of students of the class playing cricket. [Give your answer correct to two decimal places.]

- A.
55.47%

- B.
54.75%

- C.
57.45%

- D.
56.35%

Answer: Option C

**Explanation** :

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**2. SSC CHSL 25th May Shift 2 - QA | Tables & Graphs - SSC**

The table below provides information about the marks obtained by a group of students in a test.

How many students scored at least 30 marks but less than 40 marks in the test?

- A.
8

- B.
3

- C.
1

- D.
2

Answer: Option D

**Explanation** :

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**3. SSC CHSL 25th May Shift 2 - QA | Trigonometry - SSC**

If sec θ - cos θ = 14 and 14 sec θ = x, then thevalue of x is _________.

- A.
tan

^{2}θ - B.
sec

^{2}θ - C.
2 sec θ

- D.
2 tan θ

Answer: Option A

**Explanation** :

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**4. SSC CHSL 25th May Shift 2 - QA | Simple Equation - SSC**

If $x\frac{1}{x}$ = -13, what is the value of ${x}^{4}$ + $\frac{1}{{x}^{4}}$

- A.
27887

- B.
27891

- C.
29243

- D.
28561

Answer: Option A

**Explanation** :

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**5. SSC CHSL 25th May Shift 2 - QA | Simple Equation - SSC**

If $\left(x\frac{1}{x}\right)$ = 7.5, what is the value of $\left({X}^{3}+\frac{1}{{x}^{3}}\right)$

- A.
54.25

- B.
52.25

- C.
56.25

- D.
58.25

Answer: Option A

**Explanation** :

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**6. SSC CHSL 25th May Shift 2 - QA | Percentage, Profit & Loss - SSC**

The population of a city increases at the rate of 10% per annum. If the population of the city was 2 crore in 2018, then the population of the city in the year 2021 was:

- A.
2.3 crore

- B.
2.6 crore

- C.
2.662 crore

- D.
2.42 crore

Answer: Option C

**Explanation** :

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**7. SSC CHSL 25th May Shift 2 - QA | Percentage, Profit & Loss - SSC**

What will be a single equivalent discount for successive discounts of 20%, 40% and 75% on the marked price of an item?

- A.
65%

- B.
78%

- C.
88%

- D.
45%

Answer: Option C

**Explanation** :

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**8. SSC CHSL 25th May Shift 2 - QA | Tables & Graphs - SSC**

Study the given graph carefully and answer the question that follows.

In which of the following years was the sales of company 1 exactly half of the total sales of companies 2 and 3 together in that year?

- A.
2019

- B.
2021

- C.
2016

- D.
2020

Answer: Option C

**Explanation** :

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**9. SSC CHSL 25th May Shift 2 - QA | Average, Mixture & Alligation - SSC**

In a company there are only two types of employees, workers and officers. 35% of the employees are officers and the average monthly salary of an officer is ₹39,000 more than the combined average monthly salary of an employee. What is the difference between the average monthly salaries of an officer and a worker?

- A.
₹52,650

- B.
₹50,700

- C.
₹64,350

- D.
₹60,000

Answer: Option D

**Explanation** :

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**10. SSC CHSL 25th May Shift 2 - QA | Simple Equation - SSC**

Simplify:

[7$\frac{1}{2}$ ÷ {1$\frac{1}{4}$ - $\frac{1}{2}$ (2$\frac{1}{2}$ - $\frac{1}{4}$ - $\overline{)\frac{1}{4}-\frac{1}{6}}$)}]

- A.
26

- B.
36

- C.
43.2

- D.
23.6

Answer: Option C

**Explanation** :

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

If, in a family, consumption of sugar is 6 kg for 24 days, then what is the consumption of sugar for 18 days?

- A.
3.75 kg

- B.
4 kg

- C.
3.6 kg

- D.
4.5 kg

Answer: Option D

**Explanation** :

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**12. SSC CHSL 25th May Shift 2 - QA | Coordinate Geometry - SSC**

A pond is 50 m long, 35 m wide and 2.5 m deep. Find the capacity of the pond.

- A.
4165 m

^{3} - B.
4375 m

^{3} - C.
4164 m

^{3} - D.
3850 m

^{3}

Answer: Option B

**Explanation** :

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**13. SSC CHSL 25th May Shift 2 - QA | Time & Work - SSC**

16 men can paint 15 walls in 45 days. In how many days can 20 men paint 20 walls?

- A.
40

- B.
60

- C.
48

- D.
45

Answer: Option C

**Explanation** :

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**14. SSC CHSL 25th May Shift 2 - QA | Percentage, Profit & Loss - SSC**

The cost price of an article is Rs.6,450. If it sold at a profit 16%, how much would be its selling price?

- A.
Rs.7,482

- B.
Rs.7,428

- C.
Rs.7,842

- D.
Rs.7,282

Answer: Option A

**Explanation** :

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**15. SSC CHSL 25th May Shift 2 - QA | Percentage, Profit & Loss - SSC**

In a Panchayat election, three candidates were there in the fray. The losing candidates got an equal number of votes and the winning candidate got as many votes as the rest of the two got collectively. If the total votes polled were 1500, find the number of votes that the winning candidate got assume all votes polled were valid.

- A.
750

- B.
625

- C.
575

- D.
800

Answer: Option A

**Explanation** :

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**16. SSC CHSL 25th May Shift 2 - QA | Percentage, Profit & Loss - SSC**

A shopkeeper wanted to sell ₹2,700 worth of products. But he had two options — giving two successive discounts of 10% and 15%, respectively, or giving a single discount of 25%. What was the difference between the two options?

- A.
₹40.50

- B.
₹42.75

- C.
₹44.00

- D.
₹47.50

Answer: Option A

**Explanation** :

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**17. SSC CHSL 25th May Shift 2 - QA | Number Theory - SSC**

On dividing 8675123 by a certain number, the quotient is 33611 and the remainder is 3485. The divisor is ______.

- A.
538

- B.
258

- C.
248

- D.
356

Answer: Option B

**Explanation** :

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**18. SSC CHSL 25th May Shift 2 - QA | Circles - SSC**

RA and RB are two tangents from a common point ‘R’ outside the circle with centre ‘O’, having a radius of 6 cm. If ∠ARB = 70°, find the measure of the angle AOB.

- A.
130°

- B.
110°

- C.
120°

- D.
80°

Answer: Option B

**Explanation** :

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**19. SSC CHSL 25th May Shift 2 - QA | Tables & Graphs - SSC**

The given table shows the consumption of grains (in kilograms)by a village per day over the given set of year. Study the table and answer the following question. For which set of years (in options) is the combined consumption per day equal to that for the other set of years?

- A.
1998-2000 and 2008-2010

- B.
2008-2010 and 2013-2015

- C.
2003-2005 and 2013-2015

- D.
1998-2000 and 2003-2005

Answer: Option C

**Explanation** :

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**20. SSC CHSL 25th May Shift 2 - QA | Coordinate Geometry - SSC**

If the total surface area of a cube is 96 cm^{2}, then find the volume of the cube.

- A.
64 cm

^{3} - B.
82 cm

^{3} - C.
27 cm

^{3} - D.
74 cm

^{3}

Answer: Option A

**Explanation** :

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**21. SSC CHSL 25th May Shift 2 - QA | Coordinate Geometry - SSC**

Find the surface area of a cuboid 17 m long, 8 m broad and 3 m high.

- A.
420 m

^{2} - B.
417 m

^{2} - C.
402 m

^{2} - D.
422 m

^{2}

Answer: Option D

**Explanation** :

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**22. SSC CHSL 25th May Shift 2 - QA | Percentage, Profit & Loss - SSC**

A worker’s average income for a week is ₹180. He earned ₹115, ₹212, ₹170, ₹165, ₹185, and ₹225 from Monday to Saturday. Find his Sunday’s income.

- A.
₹191

- B.
₹188

- C.
₹195

- D.
₹178

Answer: Option B

**Explanation** :

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**23. SSC CHSL 25th May Shift 2 - QA | Time, Speed & Distance - SSC**

The time taken by a 180 m long train running at a speed of 54 km/h to cross a man standing on the platform is:

- A.
10 seconds

- B.
12 seconds

- C.
11 seconds

- D.
9 seconds

Answer: Option B

**Explanation** :

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

If 49 litres of a milk solution has 63% milk in it, then how much milk should be added to make the concentration of milk 70% in the solution?

- A.
11$\frac{13}{30}$ litres

- B.
14$\frac{7}{30}$ litres

- C.
12$\frac{11}{30}$ litres

- D.
13$\frac{1}{30}$ litres

Answer: Option A

**Explanation** :

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**25. SSC CHSL 25th May Shift 2 - QA | Simple Equation - SSC**

If x + y + z = 0, then find the value of x^{3} + y^{3} + z^{3} - 3xyz.

- A.
1

- B.
x

^{3}+ y^{3}+ z^{3} - C.
3xyz

- D.
0

Answer: Option C

**Explanation** :

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