SSC CHSL 2021 10th August Shift 2 Previous Year Paper Quantitative Aptitude questions | CHSL Past Year Papers

1. SSC CHSL 2021 10th August Shift 2 - QA | Tables & Graphs - SSC

Study the given graph and answer the question that follows.

31 $\frac{1}{4}$ % of the total number of vehicles of type A produced in 2013, 2015 and 2017 is equal to the number of vehicles of type B produced in the year:

A.
2017
B.
2018
C.
2015
D.
2016

2. SSC CHSL 2021 10th August Shift 2 - QA | Lines & Angles - SSC

If S is a point on side QR ofa triangle PQR such that QS = 10 cm. QR = 18 cm and ∠PSR = ∠QPR, then the length of PR will be:

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

3. SSC CHSL 2021 10th August Shift 2 - QA | Percentage, Profit & Loss - SSC

The marked price of a juicer mixer is ₹5,500, and three successive discounts of 40%, 30% and 20% are given on this marked price. The selling price of the juicer mixer is:

A.
₹1,835
B.
₹1,868
C.
₹1,848
D.
₹1,858

4. SSC CHSL 2021 10th August Shift 2 - QA | Ratio, Proportion & Variation - SSC

In any triangle,if the angles are in the ratio 1 : 2 : 3, then what will be the ratio of the sides opposite to them?

A.
1 : $\sqrt{3}$ : 1
B.
1 : $\sqrt{3}$ : 2
C.
2 : 2 : $\sqrt{3}$
D.
2 : $\sqrt{3}$ : 1

5. SSC CHSL 2021 10th August Shift 2 - QA | Trigonometry - SSC

If sin² x - 3 cos² x = 0, then the value of x(0 < x < 90°) is:

A.
45°
B.
30°
C.
60°
D.
15°

6. SSC CHSL 2021 10th August Shift 2 - QA | Simple Equation - SSC

The value of $\sqrt{\cos 60 ° \cos 30 ° - \sin 60 ° \sin 30 °}$ is:

A.
$\frac{\sqrt{3}}{2}$
B.
$\frac{1}{\sqrt{2}}$
C.
0
D.
1

7. SSC CHSL 2021 10th August Shift 2 - QA | Percentage, Profit & Loss - SSC

In a workshop with 80 students and 10 resource persons, sweets were distributed at the end of the workshop. The amount spent for distributing sweets to each student was 30%of the total numberof students and amount spent towards each resource person was 40%of the total numberofstudents. The total amountspent for sweets distribution in the workshop was:

A.
₹2,400
B.
₹2,440
C.
₹2,420
D.
₹2,240

8. SSC CHSL 2021 10th August Shift 2 - QA | Lines & Angles - SSC

In a circle with center O, P4 and PB aretangents to the circle at.4 and B, respectively, from an external point P. If, ∠AOB = 116° then whatis the measure of ∠OPB?

A.
32°
B.
90°
C.
58°
D.
30°

9. SSC CHSL 2021 10th August Shift 2 - QA | Tables & Graphs - SSC

The histogram shows the marks scored by 40 students in a test with maximum 30 marks.

What is the percentage of the students who scored less than 20 marks?

A.
50
B.
25
C.
87.5
D.
62.5

10. SSC CHSL 2021 10th August Shift 2 - QA | Simple Equation - SSC

If x + $\frac{1}{3}$ x = 5, then the value of 27x³ + $\frac{1}{x^{3}}$ will be:

A.
3240
B.
3024
C.
3042
D.
3420

11. SSC CHSL 2021 10th August Shift 2 - QA | Simple & Compound Interest - SSC

Find the compoundinterest (in ₹) on a sum of ₹7,500 for 4 years if the rate ofinterest is 20% per annum for the first two years and 10% per annum for the next two years.(The interest is compounded annually.)

A.
5,658
B.
5,586
C.
6,558
D.
5,568

12. SSC CHSL 2021 10th August Shift 2 - QA | Tables & Graphs - SSC

Study the given pie charts and answer the question that follows.
The pie charts show the distribution of students of graduate and postgraduate levels in five different institutes P, Q, R, S and T in a town.

The difference between the average number of students of graduate level in institutes P, R and T to the average number of students of postgraduate level in institutes P, R and is:

A.
425
B.
426
C.
328
D.
428

13. SSC CHSL 2021 10th August Shift 2 - QA | Time & Work - SSC

15 persons working 6 hours per day earn ₹900. How much money will 20 persons earn, working 10 hours per day?

A.
₹1,800
B.
₹1,500
C.
₹2,000
D.
₹2,100

14. SSC CHSL 2021 10th August Shift 2 - QA | Average, Mixture & Alligation - SSC

x, y and z are three positive numbers such that y is $\frac{4}{5}$ times of x and z is $\frac{5}{8}$ times of y. If the average of reciprocals of the numbers x, y and z is $\frac{17}{240}$ , then the average of 3 times of x and 5 times of y will be:

A.
70
B.
60
C.
40
D.
45

15. SSC CHSL 2021 10th August Shift 2 - QA | Simple Equation - SSC

If 2x + 3y + 4z = 11, 8x³ + 27y³ + 64z³ = 105 and xyz = 1, then the value 4x² + 9y² + 16z² - 6xy - 12yz - 8xz is:

A.
3
B.
4
C.
5
D.
6

16. SSC CHSL 2021 10th August Shift 2 - QA | Simple Equation - SSC

If 1 + 4x² + 16x⁴ = 512, and 1 - 2x + 4x² = 64, then the value of 1 + 2x + 4x² is:

A.
6
B.
8
C.
12
D.
10

17. SSC CHSL 2021 10th August Shift 2 - QA | Time, Speed & Distance - SSC

With a speed of 48 kn/h. Raghuis able to complete his journey in 2 hours 28 minutes. If he wants to cover the same distance in 1 hour 36 minutes, then what should be his new speed?

A.
72 km/h
B.
64 km/h
C.
66 km/h
D.
74 km/h

18. SSC CHSL 2021 10th August Shift 2 - QA | Coordinate Geometry - SSC

The sum of the squares of the sides of a rhombusis 1600 cm . What is the side of the rhombus?

A.
15 cm
B.
20 cm
C.
25 cm
D.
10 cm

19. SSC CHSL 2021 10th August Shift 2 - QA | Coordinate Geometry - SSC

If the length of a chord of a circle, that makes an angle of with the tangent drawnat one end point of the chord, is 83 cm, then the radius of the circle will be:

A.
8 cm
B.
5 cm
C.
6 cm
D.
7 cm

20. SSC CHSL 2021 10th August Shift 2 - QA | Triangles - SSC

The sides of a triangle are in the ratio $\frac{1}{3}$ : $\frac{1}{5}$ : $\frac{1}{4}$ and its perimeter is 141 cm. The difference between the greatest side and the smallest side is:

A.
18 cm
B.
15 cm
C.
12 cm
D.
24 cm

21. SSC CHSL 2021 10th August Shift 2 - QA | Trigonometry - SSC

If $\frac{5 c o t θ + \sqrt{3} \cos e c θ}{2 \sqrt{3} \cos e c θ + 3 c o t θ}$ = 1, 0° < θ < 90° then the value of $\frac{\frac{7}{2} \cot^{2} θ - \frac{3}{4} {cosec}^{2} θ}{4 \sin^{2} θ + \frac{3}{2} \tan^{2} θ}$ will be:

A.
7
B.
2
C.
3
D.
5

22. SSC CHSL 2021 10th August Shift 2 - QA | Percentage, Profit & Loss - SSC

Gaurav bought some articles at 5 for ₹6 and sold them at 10 for ₹11. His loss percentage is:

A.
8 $\frac{1}{3}$ %
B.
7 $\frac{1}{3}$ %
C.
7 $\frac{2}{3}$ %
D.
8 $\frac{2}{3}$ %

23. SSC CHSL 2021 10th August Shift 2 - QA | Number Theory - SSC

If the number 44306768B2 is divisible by both 8 and 11, then the smallest possible values of A and will be:

A.
A = 5, B = 3
B.
A = 3, B = 5
C.
A = 5, B = 2
D.
A = 5, B = 4

24. SSC CHSL 2021 10th August Shift 2 - QA | Tables & Graphs - SSC

Study the following graph and answer the question that follows.
Number of students that appeared and qualified, from various colleges, at a scholarship examination.

What is the ratio of the number of students that appeared to the number of students that qualified at the scholarship examination from College X?

A.
5 : 4
B.
5 : 2
C.
4 : 3
D.
5 : 3

25. SSC CHSL 2021 10th August Shift 2 - QA | Simple Equation - SSC

The value of $\frac{284}{5}$ ÷ [( $\frac{4}{5}$ ) × (15 + 35) - 11 $\frac{3}{5}$ ] is:

A.
2
B.
1
C.
0
D.
3

SSC CHSL 2021 10th August Shift 2 - QA

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