SSC CHSL 31st May Shift 1 Previous Year Paper Quantitative Aptitude questions | CHSL Past Year Papers

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

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

⇒ a² + b² = -ab
⇒ a² + b² + ab = 0 ...(1)

Now, we have 6(a³ - b³)

⇒ 6(a³ - b³) = (a - b)(a² + b² + ab)
⇒ 6(a³ - b³) = (a - b) × 0 = 0 [a² + b² + ab = 0 from (1)]

Hence, option (c).

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

The curved surface area of a hemisphere is 1232 cm². Its radius will be:

(Take π = 22/7)

A.
12 cm
B.
14 cm
C.
16 cm
D.
10 cm

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

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

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°

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

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

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

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

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%

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

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 cm²
B.
88.24 cm²
C.
81 cm²
D.
75.36 cm²

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%

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

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 $\frac{93}{97}$

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

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

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

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

If x + y = 14, then the value of x³ + y³ + 42xy is:

A.
2744
B.
2644
C.
2742
D.
2714

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%

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

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 cm²
B.
177 cm²
C.
188 cm²
D.
111 cm²

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%

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

SSC CHSL 31st May Shift 1 - QA

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