SSC CHSL 2021 9th August Shift 3 Previous Year Paper Quantitative Aptitude questions | CHSL Past Year Papers

1. SSC CHSL 2021 9th August Shift 3 - QA | Trigonometry - SSC

For what value of θ (in degrees) is the following equation true?

sin 3θ cos θ - cos 3θ sin θ = $\frac{1}{2}$ , 0 < θ < $\frac{π}{2}$

A.
45
B.
30
C.
60
D.
15

2. SSC CHSL 2021 9th August Shift 3 - QA | Simple Equation - SSC

If a² + b² + c² = 576 and (ab + bc + ca) = 50, then what is the value of (a + b + c), if(a + b + c) < 0 ?

A.
±26
B.
-24
C.
-26
D.
±24

3. SSC CHSL 2021 9th August Shift 3 - QA | Percentage, Profit & Loss - SSC

A bought a thing in ₹900 and sold to B at 25% profit. B sold it to C on ₹1350 at a loss of 10%. What is the approx. profit percentage of B?

A.
33
B.
30
C.
35
D.
34

4. SSC CHSL 2021 9th August Shift 3 - QA | Percentage, Profit & Loss - SSC

The list price of coconut oil is 15% more than its cost price. At what per cent less should it be sold for no profit and no loss?

A.
13 $\frac{3}{23}$ %
B.
13 $\frac{11}{23}$ %
C.
13 $\frac{2}{23}$ %
D.
13 $\frac{4}{23}$ %

5. SSC CHSL 2021 9th August Shift 3 - QA | Tables & Graphs - SSC

Study the given bar graphs and answer the question that follows.
The bar graphs represent the amount invested in raw materials (in 2 crore) and the sale of the products, by a textile companyin the years 2007— 2012. The X-axis represents the years. The Y-axis represents the amount invested in raw materials (in 2 crore) in figure 1 and sale of products in figure 2, respectively

In which two years was the difference of the amount invested and the sales of products the same?

A.
2009 and 2012
B.
2010 and 2011
C.
2007 and 2009
D.
2008 and 2011

6. SSC CHSL 2021 9th August Shift 3 - QA | Simplification - SSC

The value of

28 ÷ [25 + 8 ÷ 4 − {25 + (25 of 8 ÷ 20) − (125 ÷ 5 of 25)}] + (25 × 5) is:

A.
129
B.
-121
C.
-4
D.
121

7. SSC CHSL 2021 9th August Shift 3 - QA | Simple Equation - SSC

If $(2 x + \frac{1}{2 x})$ = 5, then what is the value of $(8 x^{3} + \frac{1}{8 x^{3}})$

A.
110
B.
120
C.
100
D.
125

8. SSC CHSL 2021 9th August Shift 3 - QA | Tables & Graphs - SSC

Study the given graph and answer the question that follows.

What is the ratio of the total expenditure on Infrastructure and Transport to the total expenditure on Taxes and Interest on Loans?

A.
13 : 5
B.
13 : 6
C.
13 : 7
D.
13 : 8

9. SSC CHSL 2021 9th August Shift 3 - QA | Time & Work - SSC

A can complete one-sixth of a work in 5 days and B can complete one-fourth of the same work in 15 days. In how many days, will both working together complete the work?

A.
20 days
B.
10 days
C.
25 days
D.
12 days

10. SSC CHSL 2021 9th August Shift 3 - QA | Circles - SSC

Chords AB and CD of a circle intersect externally at P. If AB = 8.8 cm, PB = 7.2 cm, PD = 6.4 cm, then CD is equal to:

A.
10.8 cm
B.
10.6 cm
C.
11.4 cm
D.
11.6 cm

11. SSC CHSL 2021 9th August Shift 3 - QA | Coordinate Geometry - SSC

The total surface area of a solid cube is 4.86 m². It is melted and recastinto a right circular cylinderof radius 0.3 m. What is the height (in m)of the cylinder (correct to one decimal place)?

Take π = $\frac{22}{7}$

A.
1.8
B.
2.6
C.
2.8
D.
3.5

12. SSC CHSL 2021 9th August Shift 3 - QA | Simple & Compound Interest - SSC

In what time will a sum of ₹1,25,000 amountto ₹1,48,877 at 12% per annum, if interest is being compounded half yearly?

A.
1 $\frac{1}{2}$ year
B.
2 $\frac{1}{2}$ years
C.
1 year
D.
3 years

13. SSC CHSL 2021 9th August Shift 3 - QA | Trigonometry - SSC

If sin B = $\frac{9}{11}$ , then what is the value of cot B, where 0° < B < 90°?

A.
$\frac{41}{9}$
B.
$\frac{40}{9}$
C.
$\frac{9}{41}$
D.
$\frac{9}{40}$

14. SSC CHSL 2021 9th August Shift 3 - QA | Coordinate Geometry - SSC

Two trains X and Yof lengths 450 meters and 550 meters, respectively, are running in the same direction on parallel tracks. If the speeds of X and Yare 58 km/h and 86 knvh, respectively, then what will be the time taken by them to cross each other?

(correct to one decimal place)

A.
122.6 seconds
B.
128.6 seconds
C.
126.6 seconds
D.
124.6 seconds

15. SSC CHSL 2021 9th August Shift 3 - QA | Trigonometry - SSC

$\frac{\cos 8 ° \cos 24 ° \cos 60 ° \cos 66 ° \cos 82 °}{\sin 82 ° \sin 66 ° \sin 60 ° \sin 8 ° \sin 24 °}$ is:

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

16. SSC CHSL 2021 9th August Shift 3 - 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.

The average number of students that qualified in the examination from Colleges X and Y is what percentage of the average number of students that appeared for the examination from the same colleges?

A.
66
B.
68
C.
62
D.
64

17. SSC CHSL 2021 9th August Shift 3 - QA | Simple Equation - SSC

If 3x + y = 12 and xy = 9, then the value of (3x - y) is:

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

18. SSC CHSL 2021 9th August Shift 3 - QA | Triangles - SSC

The difference between the two perpendicular sides of a right-angled triangle is 17 cm andits area is 84 cm , What is the perimeter (in cm) of the triangle?

A.
56
B.
65
C.
72
D.
49

19. SSC CHSL 2021 9th August Shift 3 - QA | Triangles - SSC

The perimeter of an isosceles triangle is 220 cm.If the base is 40 cm, then the length of each ofthe other sides is:

A.
85 cm
B.
90 cm
C.
80 cm
D.
95 cm

20. SSC CHSL 2021 9th August Shift 3 - QA | Simple Equation - SSC

If x : y = 4 : 5, then the value of (8x - 6y) : (9x - 7y) is:

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

21. SSC CHSL 2021 9th August Shift 3 - QA | Number Theory - SSC

If 34⁴⁷ + 43⁴⁷ is divided by 37, the remainder is:

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

22. SSC CHSL 2021 9th August Shift 3 - QA | Percentage, Profit & Loss - SSC

A dealer allows his customers a discount of 35% and still gains 30%. If the cost price of an article is ₹950, then what is its marked price (in ₹)?

A.
1,900
B.
1,750
C.
1,800
D.
1,500

23. SSC CHSL 2021 9th August Shift 3 - QA | Circles - SSC

In a circle, two chords UV and WX intersect each other at a point Z within the circle. If UV = 18 cm, ZV = 6 cm and WZ = 9 cm,
then the length of ZY is:

A.
6 cm
B.
8 cm
C.
4 cm
D.
10 cm

24. SSC CHSL 2021 9th August Shift 3 - QA | Tables & Graphs - SSC

Study the given bar graph and answer the question that follows.
A soft drink company prepares drinks of three different flavors A, B and C. The bar graph shows the production of three flavors over a period of five years from 2010 to 2014.

What percentage of the total production of soft drink of flavor A in 2013 and 2014 is the total production of soft drink of flavor B in 2011 and 2012?

A.
60%
B.
70%
C.
55%
D.
75%

25. SSC CHSL 2021 9th August Shift 3 - QA | Average, Mixture & Alligation - SSC

The average of 29 numbers is 38. The average of the first 19 numbers is 34 andthat of the last 9 numbers is 48. The 20 number is:

A.
28
B.
26
C.
24
D.
22

SSC CHSL 2021 9th August Shift 3 - QA

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