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

1. SSC CHSL 9th June Shift 3 - QA | Time, Speed & Distance - SSC

The average of a car is $1 \frac{3}{5}$ times the average of a bus. A tracor covers 1150 km in 23 hours. how much distance will the car cover in 4 hours if the speed of the bus is twice the speed of the tractor?

A.
540 km
B.
740 km
C.
440 km
D.
640 km

2. SSC CHSL 9th June Shift 3 - QA | Number Theory - SSC

If x² - 9x + 1 = 0, what is the value of x⁸ - 6239x⁴ + 1?

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

3. SSC CHSL 9th June Shift 3 - QA | Trigonometry - SSC

(cosec θ - cot θ)² = ?. 0° < θ < 90°

A.
$\frac{1 - \sin θ}{1 + \cos θ}$
B.
$\frac{1 - \cos θ}{1 + \cos θ}$
C.
$\frac{1 + \cos θ}{1 - \cos θ}$
D.
$\frac{1 + \cos θ}{1 - \sin θ}$

Answer: Option B

Explanation :

(cosec θ - cot θ)2

= ${(\frac{1}{sinθ} - \frac{cosθ}{sinθ})}^{2}$

= ${(\frac{1 - \cos θ}{sinθ})}^{2}$

= $\frac{{(1 - \cos θ)}^{2}}{\sin^{2} θ}$

= $\frac{{(1 - \cos θ)}^{2}}{1 - \cos^{2} θ}$

= $\frac{(1 - \cos θ) (1 - \cos θ)}{(1 - \cos θ) (1 + \cos θ)}$

= $\frac{1 - \cos θ}{1 + \cos θ}$

Hence, option (b).

4. SSC CHSL 9th June Shift 3 - QA | Average, Mixture & Alligation - SSC

The weekly earnings of a shopkeeper in February 2021 are ₹21,980, ₹20,580, ₹22,380, ₹22,616, respectively. What is his average daily income in February 2021?

A.
₹3,227
B.
₹3,120
C.
₹3,127
D.
₹3,027

5. SSC CHSL 9th June Shift 3 - QA | Time & Work - SSC

3 men and 7 women can complete a task in 10 days. On the other hand, 4 men and 6 women, take 8 days to complete the same task. How long will it take 10 women to complete the same task?

A.
36 days
B.
43 days
C.
48 days
D.
40 days

6. SSC CHSL 9th June Shift 3 - QA | Mensuration - SSC

What is the volume of a cylinder with radius 15 cm and height 119 cm?

(Take π = 22/7)

A.
84150 cm³
B.
85140 cm³
C.
84510 cm³
D.
85500 cm³

7. SSC CHSL 9th June Shift 3 - QA | Tables & Graphs - SSC

The pie-chart below gives the spending of a country on various sports during a particular year as percentages of total spending of all sports by the country in that year.

Based on the information given in the pie-chart, find the total amount spent (in crores of rupees) by the country on volleyball and gymnastic taken together in that year, if the total spending by the country in that year on all sports taken together was ₹286 crores.

A.
₹89.2 crore
B.
₹78.56 crore
C.
₹69.84 crore
D.
₹74.36 crore

8. SSC CHSL 9th June Shift 3 - QA | Percentage, Profit & Loss - SSC

A table fan, passing through two hands, is sold finally at a profit of 30% of the original cost price. If the first dealer makes a profit of 25%, then the profit made by the second dealer is:

A.
5%
B.
10%
C.
15%
D.
4%

9. SSC CHSL 9th June Shift 3 - QA | Mensuration - SSC

A rectangular piece of paper is 52 cm long and 18 cm wide. A cylinder is formed by rolling the paper along its breadth. Find the volume of the cylinder.

[Taken π = 22/7]

A.
1870 cm³
B.
2002 cm³
C.
1030 cm³
D.
1290 cm³

10. SSC CHSL 9th June Shift 3 - QA | Average, Mixture & Alligation - SSC

A few boys and a few girls appeared for a test. The average score of the boys was 52, the average score of the girls was 72, while the combined average was 60. What was the ratio of the number of boys to the number of girls who took the test?

A.
3 : 2
B.
13 : 18
C.
18 : 13
D.
2 : 3

Answer: Option A

Explanation :

Using alligation,

$\frac{Boys}{Girls}$ = $\frac{72 - 60}{60 - 52}$ = $\frac{12}{8}$ = $\frac{3}{2}$

Hence, option (a).

11. SSC CHSL 9th June Shift 3 - QA | Number Theory - SSC

The number 123456 is divisible by:

A.
4
B.
14
C.
56
D.
7

12. SSC CHSL 9th June Shift 3 - QA | Tables & Graphs - SSC

The given pie charts show the proportion of the population and the proportion of population below poverty line of six towns P, Q, R, S, T and U in 2018. Study the pie charts and answer the question that follows.

If the population of the town 'U' is 12,00,000 then the population below poverty line of town 'P' is:

A.
74000
B.
68,000
C.
56,000
D.
72,000

13. SSC CHSL 9th June Shift 3 - QA | Time, Speed & Distance - SSC

Anjali and Babita are running on a circular track in opposite directions from same time at same point with speeds of 8 m/sec and 6 m/sec, respectively. If the length of the circular track is 960 m, how many times distinct points they will meet?

A.
7 times
B.
6 times
C.
12 times
D.
14 times

14. SSC CHSL 9th June Shift 3 - QA | Simplification - SSC

The value of 272 ÷ 16 + [119 ÷ {1491 ÷ 3(21 - 13 × 8 + 4 × 3)}] is.

A.
-9
B.
0
C.
8
D.
11

15. SSC CHSL 9th June Shift 3 - QA | Percentage, Profit & Loss - SSC

Khushi went to purchase a mixer. The marked price of the mixer was ₹6,000 and 20% flat discount was offered on it by the shopkeeper. How much does Khushi have to pay for the mixer?

A.
₹4,200
B.
₹4,500
C.
₹4,800
D.
₹5,000

16. SSC CHSL 9th June Shift 3 - QA | Circles - SSC

The ratio in which a transverse common tangent drawn to two circles with radii 4 cm and 6 cm, respectively, divides the line joining their centres is:

A.
2 : 3
B.
1 : 1
C.
1: 2
D.
3 : 4

17. SSC CHSL 9th June Shift 3 - QA | Tables & Graphs - SSC

The table below gives the numbers of units of four different products manufactured by a company during four different months of a particular year. The total number of units manufactured in March of all four products taken together is what percentage of the total number of spoons manufactured by the company in these four given months taken together?

A.
108.4%
B.
109.6%
C.
95.78%
D.
10.96%

18. SSC CHSL 9th June Shift 3 - QA | Percentage, Profit & Loss - SSC

The ratio of income and expenditure of a person is 8 : 5. If her income increases by 25% and her expenditure increases by 28%, then what is the percentage increase in her savings?

A.
18%
B.
20%
C.
$16 \frac{2}{3} %$
D.
$22 \frac{1}{2} %$

19. SSC CHSL 9th June Shift 3 - QA | Percentage, Profit & Loss - SSC

The annual salary of Suhas has increased from ₹18,00,000 to ₹22,00,000. What is the percentage increase?

(Correct to two decimal places)

A.
33:33%
B.
18.18%
C.
81.81%
D.
22:22%

20. SSC CHSL 9th June Shift 3 - QA | Simple & Compound Interest - SSC

A man borrows a sum of ₹1,025 and pays back in two equal yearly instalments. If the rate of interest is 5% p.a, compounded yearly, then how much is each instalments?

A.
₹425.25
B.
₹525.32
C.
₹451.32
D.
₹551.25

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

Find the mean proportional between 0.04 and 0.0036.

A.
0.012
B.
0.12
C.
0.0012
D.
0.004

Answer: Option A

Explanation :

Let the mean proportional be x.

⇒ $\frac{0.04}{x}$ = $\frac{x}{0.0036}$

⇒ x² = 0.04 × 0.0036

⇒ x = 0.2 × 0.06

⇒ x = 0.012

Hence, option (a).

22. SSC CHSL 9th June Shift 3 - QA | Simplification - SSC

Evaluate 107 × 93.

A.
10047
B.
9951
C.
10049
D.
9953

23. SSC CHSL 9th June Shift 3 - QA | Number Theory - SSC

Simplify:

(a^-1 + b^-1) ÷ (a^-3 + b^-3)

A.
$\frac{a b}{(a^{2} - a b + b^{2})}$
B.
$\frac{a^{3} b^{3}}{(a^{2} - a b + b^{2})}$
C.
$\frac{a^{2} b^{2}}{(a^{2} + a b + b^{2})}$
D.
$\frac{a^{2} b^{2}}{(a^{2} - a b + b^{2})}$

Answer: Option D

Explanation :

Given, (a^-1 + b^-1) ÷ (a^-3 + b^-3)

= $\frac{\frac{1}{a} + \frac{1}{b}}{\frac{1}{a^{3}} + \frac{1}{b^{3}}}$

= $\frac{\frac{a + b}{a b}}{\frac{a^{3} + b^{3}}{{(a b)}^{3}}}$

= $\frac{(a + b) {(a b)}^{2}}{(a + b) (a^{2} - a b + b^{2})}$

= $\frac{{(a b)}^{2}}{(a^{2} - a b + b^{2})}$

Hence, option (d).

24. SSC CHSL 9th June Shift 3 - QA | Triangles - SSC

The length of the hypotenuse of a right-angled triangle is 37 cm and the length of one of its other two sides is 12 cm. What is the area of the triangle?

A.
204 cm²
B.
216 cm²
C.
210 cm²
D.
222 cm²

25. SSC CHSL 9th June Shift 3 - QA | Percentage, Profit & Loss - SSC

A washing machine marked at ₹28,000 is sold at two successive discounts of 15% and 10%. An additional discount of 5% is offered for cash payment. The selling price of the washing machine at cash payment is:

A.
₹21,458
B.
₹19,568
C.
₹20,349
D.
₹18,851

SSC CHSL 9th June Shift 3 - QA

Subscribe to our Newsletter