SSC CHSL 2021 12th August Shift 1 Previous Year Paper Quantitative Aptitude questions | CHSL Past Year Papers

1. SSC CHSL 2021 12th August Shift 1 - QA | Number Theory - SSC

A sum of ₹ x is divided among A, B and C such that the ratio of the shares of A and C is 8 : 7 and that of B and is 3 : 2. If the difference between the shares of A and B is ₹240, then what is the value of ?

A.
2544
B.
2580
C.
2490
D.
2448

2. SSC CHSL 2021 12th August Shift 1 - QA | Percentage, Profit & Loss - SSC

If a pair of shoes marked at ₹350 is offered at ₹308, then what will be the discount percentage?

A.
42%
B.
13.6%
C.
12%
D.
14%

3. SSC CHSL 2021 12th August Shift 1 - QA | Triangles - SSC

In △ABC, AD is the bisector of ∠A meeting BC at D. If AB = 15 cm, BC = 10 cm and the length of BD is 2 cm less than that of DC, then the length of AC is:

A.
18.5 cm
B.
18 cm
C.
16 cm
D.
22.5 cm

4. SSC CHSL 2021 12th August Shift 1 - QA | Simple Equation - SSC

Simplify the following expression.

$\frac{13 \frac{7}{9} \div \frac{2}{3} of \frac{1}{3} + \frac{2}{3} \times 3}{\frac{7}{5} of 325 - 20 + 7}$

A.
$\frac{40}{1989}$
B.
$\frac{31}{2210}$
C.
$\frac{32}{221}$
D.
$\frac{33}{217}$

5. SSC CHSL 2021 12th August Shift 1 - QA | Trigonometry - SSC

The value of cosec(58° + θ) - sec(32° - θ) + sin 15° sin 35° sec 55° sin 30° sec 75° is:

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

6. SSC CHSL 2021 12th August Shift 1 - QA | Tables & Graphs - SSC

Some persons went on an outstation tour.

The histogram shows their ages.

How many persons are less than 20 years of age?

A.
22
B.
31
C.
25
D.
18

7. SSC CHSL 2021 12th August Shift 1 - QA | Tables & Graphs - SSC

Study the given graph and answer the question that follow

The total production of paper by company B in 2015 and 2017 to 2019 was what percentage less than 90% of the total production of paper by company A in 2014 to 2019 (correct to one decimal place)?

A.
22.4%
B.
19.6%
C.
21.2%
D.
17.5%

8. SSC CHSL 2021 12th August Shift 1 - QA | Triangles - SSC

In △ABC, D and E are points on AB and BC, respectively, such that DE is parallel to AC. If DE = 3 cm, AC = 5 cm and the area of trapezium ACED = 32 cm², then what will be the area of △BDE?

A.
$\frac{144}{17}$ cm²
B.
$\frac{48}{5}$ cm²
C.
16 cm²
D.
18 cm²

9. SSC CHSL 2021 12th August Shift 1 - QA | Tables & Graphs - SSC

Study the given pie chart and answer the question that follows.
Total number of students admitted in a college = 700.
Distribution of the percentage of students in various courses.

Percentage-wise distribution of the number of boys

The ratio of the total number of girls admitted in B.Sc. Maths to the total number of students admitted in B.Sc. Maths is:

A.
3 : 7
B.
4 : 7
C.
3 : 5
D.
2 : 5

10. SSC CHSL 2021 12th August Shift 1 - QA | Circles - SSC

In a circle with centre O and radius 6.5 cm, a chord AB is at a distance 2.5 cm from the centre. If tangents at A and B intersect at P, then find the distance of P from the centre.

A.
16.9 cm
B.
18 cm
C.
15 cm
D.
17 cm

11. SSC CHSL 2021 12th August Shift 1 - QA | Simple & Compound Interest - SSC

What is the compound interest(₹) on a sum of ₹46,000 for years at 15% per annum, interest being compounded annually (nearst to a ₹)?

A.
18,458
B.
18,485
C.
19,485
D.
19,458

12. SSC CHSL 2021 12th August Shift 1 - QA | Simple Equation - SSC

If $\sqrt{x}$ + $\frac{1}{\sqrt{x}}$ = 2 $\sqrt{3}$ , then what will be the value of x⁴ + $\frac{1}{x^{4}}$ ?

A.
10402
B.
9606
C.
9602
D.
10406

13. SSC CHSL 2021 12th August Shift 1 - QA | Simple Equation - SSC

If 3x - 2y + 3 = 0, then what will be the value of 27x³ + 54xy + 30 - 8y³?

A.
-27
B.
57
C.
-57
D.
3

14. SSC CHSL 2021 12th August Shift 1 - QA | Circles - SSC

Chords AB and CD of a circle meet at point P (outside the circle), when produced. If AB = 9cm, PB = $\frac{1}{3}$ AB and CD = 5 cm, then the length of PD (in cm) is:

A.
7
B.
6
C.
5
D.
4

15. SSC CHSL 2021 12th August Shift 1 - QA | Percentage, Profit & Loss - SSC

By selling an article for ₹3,150, a shopkeeper earns 5% profit. For how much money should he sell the article in order to gain 8%?

A.
₹3,240
B.
₹3,180
C.
₹3,200
D.
₹3,250

16. SSC CHSL 2021 12th August Shift 1 - QA | Simple Equation - SSC

Given that 3 $\sqrt{3}$ x³ - 8y³ = ( $\sqrt{3}$ x + Ay)(3x² + By² + Cxy), the value of (A² + B² + C²) is:

A.
4
B.
8
C.
12
D.
0

17. SSC CHSL 2021 12th August Shift 1 - QA | Circles - SSC

A solid metallic sphere of radius 12 cm is melted and recast in the form of small spheres of radius 2 cm. How many small spheres are formed?

A.
24
B.
96
C.
864
D.
216

18. SSC CHSL 2021 12th August Shift 1 - QA | Time & Work - SSC

A tap can fill a tank in 4 hours. Another tap can fill the same tank in 6 hours. If both the taps are opened at the same time, then in how much time will the empty tank be filled completely?

A.
2h 30 min
B.
2h 24 min
C.
3 h
D.
2 h

19. SSC CHSL 2021 12th August Shift 1 - QA | Trigonometry - SSC

If tan 30θ = sin 45°. cos 45° + cos 60° and 3θ is an acute angle, then what will be the value of sin 4θ?

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

20. SSC CHSL 2021 12th August Shift 1 - QA | Time, Speed & Distance - SSC

A boat can go 15 km downstream and 8 km upstream in 2h. It can go 20 km downstream and 12 km upstream in 2h 50 min. What is the speed (in km/h of the boat while going downstream?

A.
16
B.
15
C.
20
D.
18

21. SSC CHSL 2021 12th August Shift 1 - QA | Tables & Graphs - SSC

Study the given pie chart and answer the question that follows.
The pie chart shows the distribution (degree wise) of the number of computers sold by a shopkeeper during five months.

If the difference between the number of computers sold in May and the number of computers sold in February is x, then the value of x will be:

A.
450
B.
480
C.
540
D.
420

22. SSC CHSL 2021 12th August Shift 1 - QA | Average, Mixture & Alligation - SSC

The average of 40 numbers is 48.2. The average of the first 15 numbers is 45 and that of the next 22 numbers is 50.5. The 38th number is 1 more than the 39th number, and the 39th number is 3 less than the 40th number. What is the average of the 39th and 40th numbers?

A.
48
B.
49
C.
47.5
D.
48.5

23. SSC CHSL 2021 12th August Shift 1 - QA | Number Theory - SSC

If the five-digit number 457 ab is divisible by 3, 7 and 11, then whatis the value of a² + b² - ab ?

A.
49
B.
36
C.
24
D.
33

24. SSC CHSL 2021 12th August Shift 1 - QA | Percentage, Profit & Loss - SSC

Renu spends 68% of her income. When her income increases by 40%, she increases her expenditure by 30%. Her savings are increased by:

A.
62.5%
B.
37.98%
C.
61.25%
D.
51.6%

25. SSC CHSL 2021 12th August Shift 1 - QA | Trigonometry - SSC

If tan θ + cot θ = 3, then what will be the value of tan² θ + cot² θ?

A.
1
B.
7
C.
11
D.
-1

SSC CHSL 2021 12th August Shift 1 - QA

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