SSC CHSL 8th June Shift 3 Previous Year Paper Quantitative Aptitude questions | CHSL Past Year Papers

1. SSC CHSL 8th June Shift 3 - QA | Time & Work - SSC

If Priya and Renu can do a job in 12 hours (working together at their respective constant speeds) and Priya can do the job alone in 18 hours, in how many hours can Renu do the job alone?

A.
36
B.
24
C.
27
D.
21

Answer: Option A

Explanation :

Let Renu alone takes R hours to complete the task.

∴ $\frac{1}{12}$ = $\frac{1}{18}$ + $\frac{1}{R}$

⇒ $\frac{1}{R}$ = $\frac{1}{18}$ - $\frac{1}{12}$

⇒ R = 36 hours.

Hence, option (a).

2. SSC CHSL 8th June Shift 3 - QA | Tables & Graphs - SSC

The following table shows the sales of cars of four manufacturers for the period from 2015 to 2020 in a metropolitan city (all the figures are in thousands).

What are the total sales of cars of the four manufacturers under consideration in the city in the entire period of 6 years (from 2015 to 2020)?

A.
1650000
B.
1053000
C.
1052000
D.
1651000

3. SSC CHSL 8th June Shift 3 - QA | Trigonometry - SSC

If $s e c^{2} θ = \frac{4}{3},$ then the value of cosec (θ + 30°) is __________. [θ is an acute angle.]

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

4. SSC CHSL 8th June Shift 3 - QA | Simplification - SSC

If $p x^{3}$ + $x^{2}$ + 3x + q is exactly divisible by (x + 2) and (x - 2), then the values of p and q are:

A.
p = $- \frac{3}{4}$ q = 4
B.
p = $\frac{3}{4}$ q = 4
C.
p = $\frac{3}{4}$ q = -4
D.
p = $- \frac{3}{4}$ q = -4

5. SSC CHSL 8th June Shift 3 - QA | Tables & Graphs - SSC

The following pie chart is the distribution of 36 marbles among three persons. The number of marbles that Madhuri has is ________.

A.
18
B.
20
C.
16
D.
12

6. SSC CHSL 8th June Shift 3 - QA | Tables & Graphs - SSC

Study the given table and answer the question that follows.
Given that the total number of students is 100.

If at least 60% marks in B and C are required for pursuing Post-doc in B, how many students in total will be eligible to pursue higher studies in B and C?

A.
38
B.
36
C.
46
D.
48

7. SSC CHSL 8th June Shift 3 - QA | Coordinate Geometry - SSC

The surface area of a cube is 726 cm². Find the volume of the cube

A.
2744 cm³
B.
1729 cm³
C.
1331 cm³
D.
2197 cm³

8. SSC CHSL 8th June Shift 3 - QA | Simplification - SSC

If a number 7P323Q is completely divisible by 88, then the values of P and Q, respectively, are:

A.
3; 2
B.
2; 3
C.
4; 2
D.
9; 2

9. SSC CHSL 8th June Shift 3 - QA | Ratio, Proportion & Variation - SSC

If a : b = 2 : 5 and b : c = 3 : 4, find the value of a : b : c.

A.
6 : 16 : 21
B.
2 : 5 : 7
C.
6 : 15 : 20
D.
3 : 8 : 10

10. SSC CHSL 8th June Shift 3 - QA | Coordinate Geometry - SSC

Find the length of diagonal of a cuboid 13 m long, 7 m broad and 3 m high.

A.
$\sqrt{207}$ m
B.
$\sqrt{232}$ m
C.
$\sqrt{327}$ m
D.
$\sqrt{227}$ m

Answer: Option D

Explanation :

Length of body diagonal = $\sqrt{13^{2} + 7^{2} + 3^{2}}$

= $\sqrt{169 + 49 + 9}$

= $\sqrt{227}$

Hence, option (d).

11. SSC CHSL 8th June Shift 3 - QA | Percentage, Profit & Loss - SSC

If half of the quantity of sugar in a bag was sold at a profit of 20%, a quarter of the quantity of sugar in the bag was sold at a profit of 16%, and the remaining sugar in the bag was sold at a profit of 24%, and the total profit obtained by selling all the sugar in the bag was ₹90, what was the cost price of the entire quantity of sugar in the bag?

A.
₹450
B.
₹750
C.
₹500
D.
₹400

12. SSC CHSL 8th June Shift 3 - QA | Circles - SSC

If two circles of radii 28 cm and 18 cm touch each other externally, then the length of a common tangent is _________. [Give your answer correct to 2 decimal places.]

A.
40.90 cm
B.
42.00 cm
C.
44.90 cm
D.
44.12 cm

Answer: Option C

Explanation :

Length of Direct Common Tangent = $\sqrt{d^{2} - {(r_{1} - r_{2})}^{2}}$

∴ $\sqrt{{(28 + 18)}^{2} - {(28 - 18)}^{2}}$ = $\sqrt{46^{2} - 10^{2}}$ = 44.90

Hence, option (c).

13. SSC CHSL 8th June Shift 3 - QA | Ratio, Proportion & Variation - SSC

How much water (in ml) should be added to 300 ml of a 75% milk and water mixture so that it becomes a 45% milk and water mixture?

A.
300
B.
250
C.
150
D.
200

14. SSC CHSL 8th June Shift 3 - QA | Percentage, Profit & Loss - SSC

The marked price of a shirt is ₹1,200. The shopkeeper gives successive discounts of 25% and 20%. Find the selling price of the shirt.

A.
₹660
B.
₹640
C.
₹720
D.
₹680

15. SSC CHSL 8th June Shift 3 - QA | Average, Mixture & Alligation - SSC

A batch of 30 students took an intelligence test in an institution. 20 of them scored an average of 75 marks and the remaining students scored an average of 87 marks. What is the average score of the entire batch of students?

A.
79
B.
75
C.
78
D.
77

16. SSC CHSL 8th June Shift 3 - QA | Simplification - SSC

Find the value of p from the following.

1 $\frac{2}{3}$ ÷ $\frac{4}{9}$ ÷ $\frac{p}{9}$ = 1 $\frac{1}{4}$ × $\frac{2}{3}$ ÷ $\frac{1}{6}$

A.
12
B.
18
C.
20
D.
6

Answer: Option A

Explanation :

1 $\frac{2}{3}$ ÷ $\frac{4}{9}$ ÷ $\frac{p}{9}$ = 1 $\frac{1}{4}$ × $\frac{2}{3}$ ÷ $\frac{1}{6}$

⇒ $\frac{5}{3}$ ÷ $\frac{4}{p}$ = $\frac{5}{4}$ × 4

⇒ $\frac{5 p}{12}$ = 5

⇒ p = 12

Hence, option (a).

17. SSC CHSL 8th June Shift 3 - QA | Simple & Compound Interest - SSC

Sundar lends a sum of ₹6,000 to Mahesh at an interest rate of 10% p.a., compounded annually. What will be the amount at the end of 2 years?

A.
₹7,160
B.
₹7,250
C.
₹7,200
D.
₹7,260

18. SSC CHSL 8th June Shift 3 - QA | Percentage, Profit & Loss - SSC

At 19% discount, the selling price of a book is ₹453.60. What is its marked price (in ₹)?

A.
690
B.
490
C.
520
D.
560

19. SSC CHSL 8th June Shift 3 - QA | Average, Mixture & Alligation - SSC

Kumar’s salary is ₹ 30,000 per month. He spends 25% of this on food and rent and 20% of the remaining on education. But he pays 5% of his total salary on paying the income tax and saves ₹ 8,000 after all these three deductions. What is the amount (in ₹.) available with him after his savings?

A.
8500
B.
7500
C.
7250
D.
8550

20. SSC CHSL 8th June Shift 3 - QA | Simplification - SSC

If x³ + y³ = 416 and x + y = 8, then find x⁴ + y⁴.

A.
3002
B.
3204
C.
3004
D.
3104

21. SSC CHSL 8th June Shift 3 - QA | Simplification - SSC

Simplify the following expression.

32³ - 3(32²) (12) + 3(32) (12³) - 12³

A.
8000
B.
4000
C.
16000
D.
800

22. SSC CHSL 8th June Shift 3 - QA | Time, Speed & Distance - SSC

A ship sails out to a mark at the speed of 15 km/h and sails back to the starting point at the speed of 10 km/h. The average speed of sailing of the ship is:

A.
12 km/h
B.
15 km/h
C.
13 km/h
D.
14 km/h

23. SSC CHSL 8th June Shift 3 - QA | Percentage, Profit & Loss - SSC

A woman spends 25% of her income. If her expenditure is ₹1,250, then find her income.

A.
₹2,500
B.
₹5,000
C.
₹1,250
D.
₹1,000

24. SSC CHSL 8th June Shift 3 - QA | Time, Speed & Distance - SSC

Three cities, A, B, and C are located such that they form the vertices of an equilateral triangle if joined by straight lines. Rashid travels from A to B at the speed of 40 km/h, from B to C at the speed of 60 km/h and from C to A at the speed of 72 k /h. Find the average speed of Rashid for the entire journey.

A.
54 km/h
B.
56 $\frac{2}{3}$
C.
55 km/h
D.
57 $\frac{1}{3}$

25. SSC CHSL 8th June Shift 3 - QA | Triangles - SSC

The perimeter of an equilateral triangle is 75 cm. Find its area.

A.
$\frac{625 \sqrt{2}}{4}$ cm²
B.
$\frac{625 \sqrt{3}}{4}$ cm²
C.
$\frac{625 \sqrt{3}}{3}$ cm²
D.
$\frac{125 \sqrt{3}}{4}$ cm²

Answer: Option B

Explanation :

Perimeter = 3 × Side = 75 cm.
∴ Side = 25 cm.

Area of an equlateral triangle = $\frac{\sqrt{3}}{4}$ (side)²

= $\frac{\sqrt{3}}{4} \times 25^{2}$

= $\frac{625 \sqrt{3}}{4}$

Hence, option (b).

SSC CHSL 8th June Shift 3 - QA

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