SSC CHSL 8th June Shift 2 Previous Year Paper Quantitative Aptitude questions | CHSL Past Year Papers

1. SSC CHSL 8th June Shift 2 - QA | Trigonometry - SSC

If sin θ = $\frac{12}{13}$ , 0 < θ < 90°, then $\frac{\sin^{2} θ - \cos^{2} θ}{2 \sin θ . \cos θ}$ × $\frac{1}{\tan^{2} θ}$ = __________.

A.
$\frac{295}{3456}$
B.
$\frac{590}{3542}$
C.
$\frac{695}{3542}$
D.
$\frac{595}{3456}$

2. SSC CHSL 8th June Shift 2 - QA | Simplification - SSC

What is the value of the following expression?

$2^{2}$ ${(\frac{x^{a}}{x^{b}})}^{(a + b)}$ × $3^{2}$ ${(\frac{x^{b}}{x^{c}})}^{(b + c)}$ × $6^{- 2}$ ${(\frac{x^{2}}{x^{a}})}^{(a + c)}$

A.
1
B.
0
C.
4
D.
9

3. SSC CHSL 8th June Shift 2 - QA | Operator Based Questions - SSC

What value must be given to ‘*’ to make 6347*25 exactly divisible by 11?

A.
1
B.
2
C.
8
D.
0

4. SSC CHSL 8th June Shift 2 - QA | Average, Mixture & Alligation - SSC

The average weight of each box in a consignment of 20 boxes of mangoes and 15 boxes of apples is 30 kg. If the average weight of a box of mangoes is 35 kg, then what is the average weight of a box of apples?

A.
$\frac{70}{3}$ kg
B.
$\frac{75}{2}$ kg
C.
$\frac{70}{5}$ kg
D.
$\frac{26}{5}$ kg

5. SSC CHSL 8th June Shift 2 - QA | Average, Mixture & Alligation - SSC

The average runs of a cricket player in 20 matches is 30. If the average of the first 12 matches is 40, find the average of the last 8 matches.

A.
14
B.
15
C.
16
D.
8

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

The following table shows the number of students of seven colleges participating in extra-curricular activities. Study the table and answer the question that follows.

The colleges in which the minimum number of students participate in extra-curricular activities are:

A.
E and G
B.
A and E
C.
D and G
D.
B and D

7. SSC CHSL 8th June Shift 2 - QA | Simplification - SSC

If x - $\frac{1}{x}$ = 11 and x > 0, What is the value of (x² - $\frac{1}{x^{2}}$ )?

A.
-11 $\sqrt{123}$
B.
55 $\sqrt{5}$
C.
11 $\sqrt{123}$
D.
-55 $\sqrt{5}$

8. SSC CHSL 8th June Shift 2 - QA | Percentage, Profit & Loss - SSC

The ratio of the cost price to the marked price of an article is 4 ∶ 7. A discount of 25% is given on the marked price and the shopkeeper made a profit of ₹50. Find the cost price of the article.

A.
₹160
B.
₹165
C.
₹150
D.
₹155

9. SSC CHSL 8th June Shift 2 - QA | Percentage, Profit & Loss - SSC

A shopkeeper claims that he is selling sugar at Rs.27/kg which cost him Rs.30/kg, but he gives 750 grams instead of 1000 grams. What is his profit or loss percentage?

A.
10% loss
B.
7.5% profit
C.
b:5 %loss
D.
20% profit

10. SSC CHSL 8th June Shift 2 - QA | Time, Speed & Distance - SSC

Two trains having lengths of 230 m and 240 m are 130 m apart. They start moving towards each other on parallel tracks, at speeds of 160 km/h and 200 km/h, respectively. In how much time will the trains cross each other?

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

11. SSC CHSL 8th June Shift 2 - QA | Percentage, Profit & Loss - SSC

40% of the cost price of an article is equal to 30% of its selling price. The approximate percentage of profit or loss on the cost price is:

A.
44.44% profit
B.
4b:22% loss
C.
35.55% loss
D.
3c:33% profit

12. SSC CHSL 8th June Shift 2 - QA | Simplification - SSC

Find the radius of the circle x² + y² - 4x + 6y = 12.

A.
4
B.
3
C.
5
D.
2

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

The pie chart shows the percentage-wise break up of students in terms of specialisation in Engineering.

Total number of students = 8000

What is the total number of students having specialisation in Operating system, java and DBMS?

A.
4640
B.
5260
C.
4008
D.
4160

14. SSC CHSL 8th June Shift 2 - QA | Simple & Compound Interest - SSC

In what time will ₹3,90,625 amount to ₹4,56,976 at 8 % per annum, interest being compounded half-yearly?

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

15. SSC CHSL 8th June Shift 2 - QA | Simple & Compound Interest - SSC

Find the compound interest on ₹1,60,000 at 10% per annum for 2 years if the interest is compounded half-yearly.

A.
₹32,282
B.
₹34,481
C.
₹33,458
D.
₹35,550

16. SSC CHSL 8th June Shift 2 - QA | Time & Work - SSC

A, B and C can do a work in 5 days,6 days and 10 days, respectively. Working together, in how many days will they finish the same work?

A.
2 $\frac{1}{7}$
B.
4 $\frac{1}{7}$
C.
3 $\frac{1}{7}$
D.
1 $\frac{1}{7}$

17. SSC CHSL 8th June Shift 2 - QA | Circles - SSC

Each edge of the following square is 20 cm long, and a circle is inscribed in the square as shown. What is the area of the shaded region?

[Use π = 3.14]

A.
88 cm²
B.
85 cm²
C.
86 cm²
D.
84 cm²

18. SSC CHSL 8th June Shift 2 - QA | Circles - SSC

The diameter of the base of a right-circular cylinder is 12 cm and the height of the cylinder is 2.45 times the radius of its base.

Find the volume of the cylinder [Use π = 3.14]

A.
1636.2 cm³
B.
1666.2 cm³
C.
1663:2 cm³
D.
1665.2 cm³

19. SSC CHSL 8th June Shift 2 - QA | Simplification - SSC

If y varies directly with x, and y = 61 when x = 42, find y when x = 54 (consider integral value).

A.
86
B.
78
C.
82
D.
72

20. SSC CHSL 8th June Shift 2 - QA | Triangles - SSC

What is the area of an equilateral triangle whose each sides is 12 cm?

A.
36 $\sqrt{3}$ cm²
B.
38 $\sqrt{3}$ cm²
C.
34 $\sqrt{3}$ cm²
D.
40 $\sqrt{3}$ cm²

21. SSC CHSL 8th June Shift 2 - QA | Simplification - SSC

Simplify the following expression.

$\frac{17 . 46^{2} - 4 . 46^{2}}{17.46 + 4.46}$

A.
13
B.
17
C.
21.92
D.
4

22. SSC CHSL 8th June Shift 2 - QA | Ratio, Proportion & Variation - SSC

The salaries of X, Y and Z are in the ratio 2 : 3 : 5. By what percentage is the salary of Z more than that of X?

A.
100
B.
200
C.
120
D.
150

23. SSC CHSL 8th June Shift 2 - QA | Average, Mixture & Alligation - SSC

The average of two numbers is 96. If 2 is added to the smaller number, the ratio between the numbers becomes 2 : c: The smaller number is _________.

A.
116.4
B.
133:4
C.
75.6
D.
59.6

24. SSC CHSL 8th June Shift 2 - QA | Simplification - SSC

What is the value of [ $\frac{1}{5}$ + { $\frac{1}{7}$ of ( $\frac{25}{42}$ ÷ $\frac{35}{6}$ ) - ( $\frac{4}{7}$ × $\frac{6}{5}$ ÷ $\frac{54}{63}$ } + $\frac{28}{40}$ ]

A.
$\frac{403}{3430}$
B.
$\frac{99}{490}$
C.
$\frac{383}{3430}$
D.
$\frac{393}{3430}$

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

Study the given table carefully to answer the question that follows.
The following table gives the information about the populations of five different cities in the year 2020.

The number of children in city S is:

A.
6130
B.
6820
C.
6310
D.
6280

SSC CHSL 8th June Shift 2 - QA

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