SSC CHSL 2021 11th August Shift 3 Previous Year Paper Quantitative Aptitude questions | CHSL Past Year Papers

1. SSC CHSL 2021 11th August Shift 3 - QA | Triangles - SSC

In △ABC, P and Q are the mid-points of the sides AB and AC, respectively. R is a point on the segment PQ such that PR : RQ = 1 : 3. If PR = 4 cm, then BC is equal to:

A.
36 cm
B.
28 cm
C.
24 cm
D.
32 cm

2. SSC CHSL 2021 11th August Shift 3 - QA | Trigonometry - SSC

The value of $\frac{\cos^{2} 89 ° + \cos^{2} 1 °}{\cos 30 ° \sin 90 ° - \sin 30 ° \cos 90 °}$ is:

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

3. SSC CHSL 2021 11th August Shift 3 - QA | Tables & Graphs - SSC

Study the given graph and answer the question that follows.
The chart represents the demand and production of leather bags by five companies U, V, X, Y and Z.

The difference between the average demand and average production of the five companies taken together is:

A.
525
B.
450
C.
475
D.
500

4. SSC CHSL 2021 11th August Shift 3 - QA | Number Theory - SSC

The largest six-digit number exactly divisible by 243 is:

A.
999943
B.
999945
C.
999947
D.
999949

5. SSC CHSL 2021 11th August Shift 3 - QA | Tables & Graphs - SSC

Study the given graph and answer the question that follows.
The chart represents the demand and production of leather bags by five companies U, V, X, Y and Z.

If h% of the demand of leather bags for company X equals the demand of the leather bags for company V, then h equals:

A.
22
B.
20
C.
18
D.
24

6. SSC CHSL 2021 11th August Shift 3 - QA | Ratio, Proportion & Variation - SSC

A sum of ₹9,400 is divided between A, B and C such that the ratio of the shares of A and B is 4 : 3 and that of B and C is 5 : 4. What is the share of C?

A.
₹2,600
B.
₹2,200
C.
₹2,000
D.
₹2,400

7. SSC CHSL 2021 11th August Shift 3 - QA | Simple Equation - SSC

If x = 555, y = 556 and z = 557, then find the value of x³ + y³ + z³ - 3xyz.

A.
5006
B.
5002
C.
5008
D.
5004

8. SSC CHSL 2021 11th August Shift 3 - QA | Average, Mixture & Alligation - SSC

The average age of 35 persons is 40 years. 5 new persons with an average age of 35 years joined them. The average age of all the persons is:

A.
39 $\frac{3}{8}$ years
B.
39 $\frac{1}{8}$ years
C.
39 $\frac{7}{8}$ years
D.
39 $\frac{5}{8}$ years

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

The area of the largest triangle that can be inscribed in a semi-circle of radius 6 cm is:

A.
36 cm²
B.
34 cm²
C.
35 cm²
D.
38 cm²

10. SSC CHSL 2021 11th August Shift 3 - QA | Trigonometry - SSC

If 6 tan² α - 2 = 0, (0 < a < 90°), then the value of α is:

A.
30°
B.
45°
C.
15°
D.
75°

11. SSC CHSL 2021 11th August Shift 3 - QA | Number Theory - SSC

If a + 5b = 25 and ab = 20, then one of the values of (a - 5b) is:

A.
15
B.
14
C.
16
D.
13

12. SSC CHSL 2021 11th August Shift 3 - QA | Time & Work - SSC

Varun and Gaurav can dig a pond in 10 days and 18 days. respectively. After finishing that work together, they receive an amount of ₹7,280. What is the share of Gaurav in that amount?

A.
₹2,600
B.
₹2,500
C.
₹2,700
D.
₹2,800

13. SSC CHSL 2021 11th August Shift 3 - QA | Percentage, Profit & Loss - SSC

Ram sold plot for ₹6,55,000 at 20% loss. For what price should he sell the plot to gain 15% profit ?

A.
₹7,41,562.50
B.
₹6,41,562.50
C.
₹8,41.562.50
D.
₹9,41.562.50

14. SSC CHSL 2021 11th August Shift 3 - QA | Tables & Graphs - SSC

Study the given pie-chart and answer the question that follows.
The pie-chart represents the percentage distribution of candidates qualified in a bank examination from six different districts of a State in 2016. The total number of qualified candidates from the State is 68000.

What is the difference (to the nearest whole number) between the average number of qualified students from the Districts A. C and F and the average number of qualified students from the Districts B, D and E?

A.
906
B.
910
C.
900
D.
907

15. SSC CHSL 2021 11th August Shift 3 - QA | Time, Speed & Distance - SSC

Pawan travels from X to Y at the speed of 10 km/h, from Y to Z at 15 km/h and from Z to W at 20 km/h. If XY = YZ = ZW (in km), then the average speed of Pawan for the whole journey is:

A.
13 $\frac{10}{13}$ km/h
B.
13 $\frac{11}{13}$ km/h
C.
13 $\frac{8}{13}$ km/h
D.
13 $\frac{9}{13}$ km/h

16. SSC CHSL 2021 11th August Shift 3 - QA | Lines & Angles - SSC

Line AC is a tangent to a circle at point B on it, and PQ is a chord of the circle such that BP = BQ. If ∠ABP = 64°, then find the measure of ∠PBQ.

A.
58°
B.
64°
C.
52°
D.
32°

17. SSC CHSL 2021 11th August Shift 3 - QA | Simple Equation - SSC

The value of 364 - [142 - {75 + $(38 - \frac{5}{4} + \frac{14}{8})$ }] is:

A.
332
B.
330
C.
331
D.
334

18. SSC CHSL 2021 11th August Shift 3 - QA | Percentage, Profit & Loss - SSC

A shopkeeper marks his goods 25% above the cost price. Then, he allows a 40% discount on it. What is the percentage loss?

A.
25%
B.
15%
C.
20%
D.
30%

19. SSC CHSL 2021 11th August Shift 3 - QA | Trigonometry - SSC

If sin α + cosec α = tan $\frac{π}{3}$ , then the value of (sin³ α + cosec³ α) is equal to:

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

20. SSC CHSL 2021 11th August Shift 3 - QA | Tables & Graphs - SSC

Study the given pie chart and table and answer the question that follows.
The pie chart represents the percentage wise distribution of 300 students of class X in a school in six different sections A, B, C, D, E and F.

The table shows the number of boys of class X in six different sections A, B, C, D, E and F.

If the total number of students in section C is 57, then the total number of girls in section C and D together will be:

A.
36
B.
46
C.
48
D.
40

21. SSC CHSL 2021 11th August Shift 3 - QA | Simple Equation - SSC

If 3a - b = 1 and ab = 4, then thevalue of (9a² - b²) is:

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

22. SSC CHSL 2021 11th August Shift 3 - QA | Simple & Compound Interest - SSC

In how much time will a sum of ₹5,000 invested at the rate of 15% simple interest per annum amount to ₹6,500?

A.
2.5 years
B.
1 year
C.
1.5 years
D.
2 years

23. SSC CHSL 2021 11th August Shift 3 - QA | Percentage, Profit & Loss - SSC

The cost price of a chair is 21.800. Later, its cost price becomes 22,100. What is the percentage increase in the cost price of the chair?

A.
16 $\frac{5}{6}$ %
B.
16 $\frac{2}{3}$ %
C.
16 $\frac{1}{2}$ %
D.
16 $\frac{1}{3}$ %

24. SSC CHSL 2021 11th August Shift 3 - QA | Circles - SSC

Two parallel chords are drawn in a circle of diameter 50 cm on the opposite sides of its centre. The length of one chord is 40 cm and the distance between the two chords is 22 cm. The length of the other chord is:

A.
46 cm
B.
50 cm
C.
44 cm
D.
48 cm

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

The perimeter of a rectangle is 86 cm. The numbers representing its area and breadth are in the ratio of 9: 1, respectively. The breadth of the rectangle is:

A.
32 cm
B.
34 cm
C.
36 cm
D.
30 cm

SSC CHSL 2021 11th August Shift 3 - QA

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