SSC CHSL 10th June Shift 1 Previous Year Paper Quantitative Aptitude questions | CHSL Past Year Papers

1. SSC CHSL 10th June Shift 1 - QA | Tables & Graphs - SSC

Based on the data given in the following table find the arithematic mean of the marks obtained out of 10 in a class test by the students of a class.

A.
5.1
B.
6.4
C.
5.2
D.
5

2. SSC CHSL 10th June Shift 1 - QA | Simplification - SSC

Simplify the folowing expression.

$(\frac{1}{2} \times \frac{1}{2} \times \frac{1}{2})$ + $(\frac{3}{2} \times \frac{3}{2} \times \frac{3}{2})$ + (6 × 6 × 6) + 3 $(\frac{1}{2} + \frac{3}{2})$ $(\frac{1}{2} + 6)$ $(6 + \frac{3}{2})$

A.
521
B.
64
C.
512
D.
256

Answer: Option C

Explanation :

Given, $(\frac{1}{2} \times \frac{1}{2} \times \frac{1}{2})$ + $(\frac{3}{2} \times \frac{3}{2} \times \frac{3}{2})$ + (6 × 6 × 6) + 3 $(\frac{1}{2} + \frac{3}{2})$ $(\frac{1}{2} + 6)$ $(6 + \frac{3}{2})$

= $\frac{1}{8}$ + $\frac{27}{8}$ + 216 + 6 × $\frac{13}{2}$ × $\frac{15}{2}$

= $\frac{28}{8}$ + 216 + $\frac{1170}{4}$

= $\frac{7}{2}$ + 216 + $\frac{585}{2}$

= 216 + $\frac{592}{2}$

= 216 + 296

= 512

Hence, option (c).

3. SSC CHSL 10th June Shift 1 - QA | Percentage, Profit & Loss - SSC

A vendor bought oranges at 5 for ₹15 and sold them at 3 for ₹5. Find his loss percent.

A.
$41 \frac{4}{9} %$
B.
$42 \frac{4}{9} %$
C.
$43 \frac{4}{9} %$
D.
$44 \frac{4}{9} %$

4. SSC CHSL 10th June Shift 1 - QA | Time, Speed & Distance - SSC

For the first part of her journey,Sunita travelled at a speed of 450 m/min and,for the rest of the journey, at a speed 1.4 times of her initial speed. If Sunita travelled a total distance of 33.3 km in 1hour, what was the distance that Sunita travelled at a lower speed?

A.
11.50 KM
B.
11.15 KM
C.
11.25 KM
D.
11.20 KM

5. SSC CHSL 10th June Shift 1 - QA | Time & Work - SSC

40 men can complete a piece of work in 18 days. 9 days after they start working together, 5 more men join them. How many days will they now take to complete the remaining work?

A.
9 days
B.
8 days
C.
6 days
D.
7 days

6. SSC CHSL 10th June Shift 1 - QA | Simple & Compound Interest - SSC

A sum of money is invested at a rate of compounded interest that is paid out yearly. In the first two years, the interest was ₹400 and ₹420 respectively.The sum is:

A.
₹7,500
B.
₹9,530
C.
₹8,000
D.
₹8,765

7. SSC CHSL 10th June Shift 1 - QA | Percentage, Profit & Loss - SSC

A man spends 20% of his monthly salary on food and one-fourth of the remaining salary on charity. If he saves ₹9,600 per month, which is equal to half of the balance after spending on food and charity, then his monthly salary is:

A.
₹28,000
B.
₹32,000
C.
₹26,000
D.
₹30,000

8. SSC CHSL 10th June Shift 1 - QA | Coordinate Geometry - SSC

What is the length of the arc of a circle whose radius is 35 cm and arc subtends an angle of 36° at the centre of the circle?

(Take π = 22/7)

A.
44 cm
B.
22 cm
C.
10 cm
D.
220 cm

9. SSC CHSL 10th June Shift 1 - QA | Ratio, Proportion & Variation - SSC

Calculate the third proportional to 4, 15 and 24.

A.
$\frac{32}{5}$
B.
$\frac{29}{5}$
C.
$\frac{21}{5}$
D.
$\frac{26}{5}$

Answer: Option A

Explanation :

Let x be the third proportion.

∴ $\frac{4}{15}$ = $\frac{x}{24}$

⇒ x = $\frac{4 \times 24}{15}$ = $\frac{32}{5}$

Hence, option (a).

10. SSC CHSL 10th June Shift 1 - QA | Trigonometry - SSC

Using the formula tan $\frac{x}{2}$ = $\frac{1 - \cos x}{\sin x},$ find the value of 22.5°.

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

Answer: Option A

Explanation :

Given tan $\frac{x}{2}$ = $\frac{1 - \cos x}{\sin x}$

Substitute x = 45°, we get

tan $\frac{45}{2}$ = $\frac{1 - \cos 45}{\sin 45}$ = $\frac{1 - \frac{1}{\sqrt{2}}}{\frac{1}{\sqrt{2}}}$ = √2 - 1

Hence, option (a).

11. SSC CHSL 10th June Shift 1 - QA | Tables & Graphs - SSC

What is the average amount invested in raw materials from year 1997 to 1999?

A.
₹310 lakh
B.
₹330 lakh
C.
₹400 lakh
D.
₹410 lakh

12. SSC CHSL 10th June Shift 1 - QA | Simplification - SSC

Find the value of ‘a’ using the concept of BODMAS.

42 ÷ 2 + a × 3 - 22 = 8

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

13. SSC CHSL 10th June Shift 1 - QA | Average, Mixture & Alligation - SSC

In an examination, the average marks of 7 children was 20, that of 3 children was 45, that of another 4 children was 15 and that of 2 children was 0. What is the average marks of all the 16 children?

(Correct to one decimal place)

A.
20
B.
20.9
C.
4
D.
4.9

Answer: Option B

Explanation :

Average of all 16 children = $\frac{7 \times 20 + 3 \times 45 + 4 \times 15 + 2 \times 0}{7 + 3 + 4 + 2}$ = $\frac{335}{16}$ = 20.9

Hence, option (b).

14. SSC CHSL 10th June Shift 1 - QA | Percentage, Profit & Loss - SSC

A washing machine is sold at a discount of 10% on its marked price. A further discount of 5% on the selling price is offered if a person makes the payment in cash. If the marked price of the machine is ₹54,000, how much will a customer paying in cash have to pay for purchasing it?

A.
₹46,200
B.
₹45,800
C.
₹46,170
D.
₹46,000

15. SSC CHSL 10th June Shift 1 - QA | Mensuration - SSC

The length, breadth and height of a room are 7 m, 4 m and 9 m, respectively. Find the cost of whitewashing the walls of the room and the ceiling at the rate of ₹7.50 per m².

A.
₹1,965
B.
₹1,695
C.
₹1,968
D.
₹1,698

16. SSC CHSL 10th June Shift 1 - QA | Percentage, Profit & Loss - SSC

Find the selling price of an article if a shopkeeper allows two successive discounts of 5% each on the marked price of ₹80.

A.
₹76.60
B.
₹72
C.
₹72.20
D.
₹74.40

17. SSC CHSL 10th June Shift 1 - QA | Number Theory - SSC

Which of the following numbers is NOT divisible by 15?

A.
2595
B.
3195
C.
3465
D.
2995

18. SSC CHSL 10th June Shift 1 - QA | Trigonometry - SSC

If sin θ = $\frac{\sqrt{3}}{2},$ and θ is an acute angle, find the value of cos 3θ.

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

Answer: Option C

Explanation :

Given, sin θ = $\frac{\sqrt{3}}{2}$

∴ θ = 60°

⇒ cos 3θ = cos 180° = -1.

Hence, option (c).

19. SSC CHSL 10th June Shift 1 - QA | Simplification - SSC

Simplify (5 × 5 × 5 × 5 × 5)⁵ × (5 × 5 × 5)⁵÷ 5 = (125)^?.

A.
15
B.
21
C.
13
D.
14

20. SSC CHSL 10th June Shift 1 - QA | Tables & Graphs - SSC

Study the given graph and answer the question that follows.

For which of the following years was the percentage rise/fall in production from the previous year maximum for country R?

A.
2013
B.
2011
C.
2012
D.
2015

21. SSC CHSL 10th June Shift 1 - QA | Mensuration - SSC

If the length, breadth and height of a cuboid are 7.5 m, 22 m and 13 m, respectively, then find the volume of the cuboid.

A.
2145 m³
B.
1245 m³
C.
4215 m³
D.
2154 m³

22. SSC CHSL 10th June Shift 1 - QA | Average, Mixture & Alligation - SSC

What is the average of first 10 multiples of 6?

A.
55
B.
66
C.
60
D.
33

23. SSC CHSL 10th June Shift 1 - QA | Percentage, Profit & Loss - SSC

The price of a bike is ₹75,500. What will be the price of the bike after a reduction of 17%?

A.
₹68,650
B.
₹68,680
C.
₹62,665
D.
₹62,650

24. SSC CHSL 10th June Shift 1 - QA | Simple & Compound Interest - SSC

If the compound interest on a principal for one year is ₹350 and the compound interest for the second year is ₹420, find the rate of interest.

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

25. SSC CHSL 10th June Shift 1 - QA | Triangles - SSC

The area of quadrilateral is 336 and the perpendiculars drawn to one diagonal from the opposite vertices are 16 m and 12 m long. Find the length of this diagonal.

A.
28 cm
B.
26 cm
C.
21 cm
D.
24 cm

SSC CHSL 10th June Shift 1 - QA

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