# SSC CHSL 31st May Shift 1 - QA

**1. SSC CHSL 31st May Shift 1 - QA | Time, Speed & Distance - SSC**

A train crosses a 400 m-long platform in 50 seconds. It crosses another 600 m-long platform in 60 seconds. What are the length and the speed of the train?

- A.
600 m; 72 km/h

- B.
550 m; 75 km/h

- C.
500 m; 70 km/h

- D.
650 m; 74 km/h

Answer: Option A

**Explanation** :

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**2. SSC CHSL 31st May Shift 1 - QA | Simplification - SSC**

If $\frac{a}{b}$ + $\frac{b}{a}$ = -1, a ≠ 0, b ≠ 0, then the value of 6$({a}^{3}$ - ${b}^{3})$ is:

- A.
6

- B.
3

- C.
0

- D.
1

Answer: Option C

**Explanation** :

⇒ $\frac{a}{b}$ + $\frac{b}{a}$ = -1

⇒ a^{2} + b^{2} = -ab

⇒ a^{2} + b^{2} + ab = 0 ...(1)

Now, we have 6(a^{3} - b^{3})

⇒ 6(a^{3} - b^{3}) = (a - b)(a^{2} + b^{2} + ab)

⇒ 6(a^{3} - b^{3}) = (a - b) × 0 = 0 [a^{2} + b^{2} + ab = 0 from (1)]

Hence, option (c).

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**3. SSC CHSL 31st May Shift 1 - QA | Circles - SSC**

The curved surface area of a hemisphere is 1232 cm^{2}. Its radius will be:

(Take π = 22/7)

- A.
12 cm

- B.
14 cm

- C.
16 cm

- D.
10 cm

Answer: Option B

**Explanation** :

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**4. SSC CHSL 31st May Shift 1 - QA | Simple & Compound Interest - SSC**

The population of a city increases 5% annually in compounded manner (yearly compounding). The present population of this city is 93051. The population of this city 2 years ago was:

- A.
84400

- B.
84000

- C.
88000

- D.
88400

Answer: Option A

**Explanation** :

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**5. SSC CHSL 31st May Shift 1 - QA | Time & Work - SSC**

Asha and Bhuvan can do a piece of work in 6 days and 9 days, respectively. They work on alternate days, starting with Asha on the first day. In how many days will the work be completed?

- A.
6 days

- B.
7 days

- C.
9 days

- D.
8 days

Answer: Option B

**Explanation** :

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**6. SSC CHSL 31st May Shift 1 - QA | Triangles - SSC**

The ratio of measures of the angles of a triangle is given as 3 : 4 : 8. What is the measure of the smallest of the three angles?

- A.
33°

- B.
39°

- C.
30°

- D.
36°

Answer: Option D

**Explanation** :

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**7. SSC CHSL 31st May Shift 1 - QA | Tables & Graphs - SSC**

The score in Maths of 50 students of a class is given in the following table. Calculate the mean score.

- A.
28.8

- B.
22.2

- C.
24.4

- D.
26.6

Answer: Option C

**Explanation** :

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**8. SSC CHSL 31st May Shift 1 - QA | Trigonometry - SSC**

If sin x - 3 cos x = $\sqrt{3}$ cos x, then the value of cot x

- A.
3 - $\sqrt{3}$

- B.
3 + $\sqrt{3}$

- C.
$\sqrt{3}$

- D.
$\frac{3-\sqrt{3}}{6}$

Answer: Option D

**Explanation** :

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**9. SSC CHSL 31st May Shift 1 - QA | Percentage, Profit & Loss - SSC**

The marked price of a refrigerator is ₹60,000. A shopkeeper offers a flat discount of ₹12,000 on full cash payment. Further he offers an extra discount of 5% on the marked price to his regular customers. How much does a regular customer have to pay for the refrigerator?

- A.
₹45,000

- B.
₹48,000

- C.
₹44,000

- D.
₹47,000

Answer: Option A

**Explanation** :

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**10. SSC CHSL 31st May Shift 1 - QA | Ratio, Proportion & Variation - SSC**

Soham’s initial expenditure and savings were in the ratio 5: 1. His income increases by 25%, while his savings increase by 20%. If Soham’s current expenditure is ₹4,347, what was his initial income?

- A.
₹4,130

- B.
₹4,140

- C.
₹4,150

- D.
₹4,160

Answer: Option B

**Explanation** :

Let Soham's initial expenditure and savings be 5x and x respectively.

∴ Initial Income of Soham = 5x + x = 6x

His new income = 6x × 1.25 = 7.5x

His new savings = x × 1.20 = 1.2x

∴ His new expenditure = 7.5x - 1.2x = 6.3x

⇒ 6.3x = 4347

⇒ x = 690

∴ Soham's initial income = 6x = 6 × 690 = Rs. 4140.

Hence, option (b).

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**11. SSC CHSL 31st May Shift 1 - QA | Percentage, Profit & Loss - SSC**

A 25% profit is made when a discount of 25% is given on the marked price of an item. When the discount is 35%, what will be the profit?

(Give your answer correct to the nearest whole number.)

- A.
13%

- B.
8%

- C.
9%

- D.
11%

Answer: Option B

**Explanation** :

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**12. SSC CHSL 31st May Shift 1 - QA | Number Theory - SSC**

What is the remainder when 8127 is divided by 8?

- A.
7

- B.
5

- C.
4

- D.
6

Answer: Option A

**Explanation** :

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**13. SSC CHSL 31st May Shift 1 - QA | Circles - SSC**

What is the surface area of a cylinder with base radius 2 cm and height 6 cm?

(Use π = 3.14)

- A.
73 cm

^{2} - B.
88.24 cm

^{2} - C.
81 cm

^{2} - D.
75.36 cm

^{2}

Answer: Option D

**Explanation** :

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**14. SSC CHSL 31st May Shift 1 - QA | Tables & Graphs - SSC**

The table below provides information about the number of registered voters and the percentage of registered voters who voted in a particular election in three different centers. P, Q, and R.

What percentage of the total number of voters registered at center Q cast invalid votes, if the number of votes castes at centre Q was 25% of all votes cast at the centre?

- A.
25%

- B.
40%

- C.
20%

- D.
75%

Answer: Option C

**Explanation** :

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**15. SSC CHSL 31st May Shift 1 - QA | Simplification - SSC**

If ${p}^{4}$ = 4354 - $\frac{1}{{p}^{4}}$ the value of ${p}^{3}$ - $\frac{1}{{p}^{3}}$ can be:

- A.
536

- B.
436

- C.
416

- D.
516

Answer: Option A

**Explanation** :

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**16. SSC CHSL 31st May Shift 1 - QA | Time, Speed & Distance - SSC**

Sunila drove her car at an average speed of 45 km/h for the first 75 km of a trip, and then at an average speed of 70 km/h for the remaining 45 km of the trip. If she made no stops during the trip, what was Sunila's average speed (in km/h) for the entire trip?

- A.
52

- B.
51$\frac{3}{7}$

- C.
51

- D.
51$\frac{93}{97}$

Answer: Option D

**Explanation** :

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**17. SSC CHSL 31st May Shift 1 - QA | Simplification - SSC**

8 + [16 − {7 + 4 − (9 of 3 + 6 − 4 × 7)}] = ?

- A.
21

- B.
16

- C.
18

- D.
23

Answer: Option C

**Explanation** :

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**18. SSC CHSL 31st May Shift 1 - QA | Ratio, Proportion & Variation - SSC**

If a ∶ b = 2 ∶ 3 and b ∶ c = 6 ∶ 8, then find a ∶ b ∶ c.

- A.
2 ∶ 3 ∶ 5

- B.
2 ∶ 3 ∶ 4

- C.
1 ∶ 2 ∶ 3

- D.
2 ∶ 3 ∶ 6

Answer: Option B

**Explanation** :

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**19. SSC CHSL 31st May Shift 1 - QA | Average, Mixture & Alligation - SSC**

The average of the first 43 natural numbers is:

- A.
33

- B.
44

- C.
43

- D.
22

Answer: Option D

**Explanation** :

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**20. SSC CHSL 31st May Shift 1 - QA | Simple Equation - SSC**

If x + y = 14, then the value of x^{3} + y^{3} + 42xy is:

- A.
2744

- B.
2644

- C.
2742

- D.
2714

Answer: Option A

**Explanation** :

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**21. SSC CHSL 31st May Shift 1 - QA | Percentage, Profit & Loss - SSC**

If the length and the breadth of a rectangle are increased by 15% and 20%, respectively, then by how much percent the area of the rectangle will increase?

- A.
32%

- B.
38%

- C.
36%

- D.
48%

Answer: Option B

**Explanation** :

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**22. SSC CHSL 31st May Shift 1 - QA | Tables & Graphs - SSC**

If it is known that 35 students mentioned momos as their preferred food , on the basis of the information provided in the following pie chart, calculate the number of students who mentioned either rolls or Alu Parathas as their preferred food.

- A.
116

- B.
108

- C.
112

- D.
120

Answer: Option C

**Explanation** :

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**23. SSC CHSL 31st May Shift 1 - QA | Coordinate Geometry - SSC**

The sum of the length, breadth and depth of a cuboid is 23 cm, and its diagonal is 5√7 cm. Its surface area is:

- A.
144 cm

^{2} - B.
177 cm

^{2} - C.
188 cm

^{2} - D.
111 cm

^{2}

Answer: Option B

**Explanation** :

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**24. SSC CHSL 31st May Shift 1 - QA | Percentage, Profit & Loss - SSC**

A pen was sold for ₹28.75 at a profit of 15%. If it was sold for ₹25.75, then what would have been the percentage of profit?

- A.
2%

- B.
3%

- C.
4%

- D.
1%

Answer: Option B

**Explanation** :

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**25. SSC CHSL 31st May Shift 1 - QA | Ratio, Proportion & Variation - SSC**

In what ratio must a grocer mix two varieties of pulses costing ₹15 and ₹20 per kg, respectively, so as to get a mixture worth ₹18 per kg?

- A.
3 : 2

- B.
3 : 4

- C.
2 : 3

- D.
2 : 5

Answer: Option C

**Explanation** :

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