SSC CGL Previous Year Question Paper 11th April Shift 2 | QA | Quantitative Aptitude questions | CGL Past Year Papers

1. SSC CGL 11th April Shift 2 - QA | Percentage, Profit & Loss - SSC

A, B and C started a business in partnership initially. A invested ₹29,000, while B and C invested ₹25,000 each. After 4 months. A withdrew ₹3,000. After 2 more months, C invested ₹12,000 more. Find the share of C (in ₹) in the profit of ₹33,200 at the end of the year.

A.
10,800
B.
10,000
C.
11,067
D.
12,400

2. SSC CGL 11th April Shift 2 - QA | Simplification - SSC

If cos (A - B) = $\frac{\sqrt{3}}{2}$ and sec A, 0° ≤ A ≤ 90°, 0° ≤ B ≤ 90° then what is the measure of B?

A.
60°
B.
0°
C.
30°
D.
90°

3. SSC CGL 11th April Shift 2 - QA | Ratio, Proportion & Variation - SSC

All alloy contains 40% of silver. 30% of copper and 30% of nickel. How much silver (in kg) should be added to 15 kg of the alloy so that lhe new alloy contains 50% of silver?

A.
5
B.
10
C.
12
D.
20

4. SSC CGL 11th April Shift 2 - QA | Tables & Graphs - SSC

Study the given bar graph and answer the question that follows.
The bar graph shows the exports of cars of type A and B (in ₹ millions) from 2014 to 2018.

In which year were the exports of cars of type A ₹55 million less than the average exports (per year) of cars of type B over the five years?

A.
2015
B.
2014
C.
2017
D.
2016

5. SSC CGL 11th April Shift 2 - QA | Tables & Graphs - SSC

The given bar graph shows exports of cars of type A and B (in₹ millions) from 2014 to 2018. Study the graph and answer the question that follows.
Exports of Cars of Type A and B (in ₹ millions) from 2014-2018.

The total exports of cars of type B in 2014 to 2017 is what per cent more than the total exports of cars of type A in 2015 to 2018?

(Correct to one decimal place).

A.
5.6%
B.
4.9%
C.
6.5%
D.
7.2%

6. SSC CGL 11th April Shift 2 - QA | Tables & Graphs - SSC

The given histogram shows the daily wages (in ₹) of workers in a factory.
Study the histogram and answer the question that follows.

The number of workers with daily wages less than ₹180 is what percentage of the number of workers with daily wages more than ₹190? Express your answer correct to one decimal place.

A.
85.6%
B.
86.7%
C.
75.8%
D.
74.8%

7. SSC CGL 11th April Shift 2 - QA | Lines & Angles - SSC

In a circle with centre O, chords PR and QS meet at the point T, when produced, and PQ is a diameter. If ∠ROS = 42° then the measure of ∠PTQ is

A.
59°
B.
58°
C.
48°
D.
69°

8. SSC CGL 11th April Shift 2 - QA | Circles - SSC

O is the centre of a circle with diameter 20 cm. T is a point onside the circle and TA is a tangent to a circle. If OT is = 26 cm. what is the length (in cm) of the tangent TA?

A.
20
B.
26
C.
24
D.
18

9. SSC CGL 11th April Shift 2 - QA | Simple Equation - SSC

Find the value of the following expression:

980 ÷ 35 × 16 + 4 − 2 × 2

A.
$\frac{15}{2}$
B.
448
C.
$\frac{7}{4}$
D.
556

10. SSC CGL 11th April Shift 2 - QA | Triangles - SSC

What is the height (in cm) of an equilateral triangle whose each side is 8 cm?

A.
4 $\sqrt{3}$
B.
3 $\sqrt{2}$
C.
4 $\sqrt{2}$
D.
3 $\sqrt{5}$

11. SSC CGL 11th April Shift 2 - QA | Simple & Compound Interest - SSC

A sum invested at compound inrerest amounts to ₹7,800 in 3 years and ₹11,232 in 5 years. What is the rate per cent?

A.
26
B.
20
C.
15
D.
18

12. SSC CGL 11th April Shift 2 - QA | Coordinate Geometry - SSC

The width of the path around a square field is 4.5 m and its area is 105.75 m². Find the cost of fencing the path at the rate of ₹100 per metre.

A.
₹550
B.
₹600
C.
₹275
D.
₹400

13. SSC CGL 11th April Shift 2 - QA | Coordinate Geometry - SSC

The length and the breadth of a rectangle are made to increase and decrease, respectively, by 8% and 10%. What is the percentage increase or decrease in its area?

A.
Decrease by 1.8%
B.
Increase by 1.8%
C.
Increase by 2.8%
D.
Decrease by 2.8%

14. SSC CGL 11th April Shift 2 - QA | Coordinate Geometry - SSC

A vertical pole and a vertical tower are on the same level of ground in such a way that from the top of the pole, the angle of elevation of the top of the tower is 60° and the angle of depression of the bottom of the tower is 30°. If the height of the tower is 76 m. then find the height (in ₹) of the pole.

A.
38
B.
19 $\sqrt{3}$
C.
19
D.
57

15. SSC CGL 11th April Shift 2 - QA | Coordinate Geometry - SSC

A pole 23 m long reaches a window which is 3 $\sqrt{5}$ m above the ground on one side of a street. Keeping its foot at the same point, the pole is turned to the other side of the street to reach a window 4 is m high. What is the width (in m) of the street?

A.
17
B.
35
C.
39
D.
22

16. SSC CGL 11th April Shift 2 - QA | Time & Work - SSC

X, Y and Z can do a piece of work in 46 days, 92 days and 23 days, respectively. X started the work. Y joined him after 2 days. If Z joined them after 8 days from the beginning, then for how many days did X work?

A.
16
B.
21
C.
18
D.
13

17. SSC CGL 11th April Shift 2 - QA | Trigonometry - SSC

What is the value of:

8 $\sqrt{3}$ sin 30° tan 60° - 3 cos 0° + 3 sin² 45° + 2 cos² 30?

A.
15
B.
12
C.
9
D.
18

18. SSC CGL 11th April Shift 2 - QA | Average, Mixture & Alligation - SSC

A car runs first 275 km at an average speed of 50 km/h and the next 315 km at an average speed of 70 km/h. What is the average speed (in km/h) for the entire journey?

A.
58.5
B.
60
C.
59
D.
62

19. SSC CGL 11th April Shift 2 - QA | Simplification - SSC

If (4x + 2y)3 + (4x - 2y)3 = 16(Ax³ + Bxy²), then what is the value of $\frac{1}{2}$ $(\sqrt{A^{2} + B^{2}})$ ?

A.
8
B.
3
C.
5
D.
7

20. SSC CGL 11th April Shift 2 - QA | Number Theory - SSC

Find the greatest number which divides 108, 124 and 156, leaving the same remainder.

A.
18
B.
10
C.
12
D.
16

21. SSC CGL 11th April Shift 2 - QA | Tables & Graphs - SSC

Monthly expenditure of a family on different heads is shown in the following pie chart. The family earns ₹10,08,000 every month.
The money ( in ₹) spent on Misc. Expenses is how much more than that spent on Children Education?

A.
1,800
B.
1,350
C.
1,500
D.
1,200

22. SSC CGL 11th April Shift 2 - QA | Percentage, Profit & Loss - SSC

The profit earned by selling an article for ₹832 is equal to the loss incurred when the article is sold for ₹448. What will be the selling price of the article if it is sold at a ₹10%, loss?

A.
₹576
B.
₹540
C.
₹625
D.
₹640

23. SSC CGL 11th April Shift 2 - QA | Average, Mixture & Alligation - SSC

In the first 10 overs of a cricket game, the run rate was only 7.2. What should be the average run rate in the remaining 40 overs to reach the target of 272 runs?

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

24. SSC CGL 11th April Shift 2 - QA | Number Theory - SSC

How many numbers are there from 500 to 650 (including both) which are neither divisible by 3 nor by 7?

A.
21
B.
121
C.
87
D.
99

25. SSC CGL 11th April Shift 2 - QA | Simplification - SSC

Simplify the foilovdng expression:

$\frac{{(a^{2} - 4 b^{2})}^{3} + 64 {(b^{2} - 4 c^{2})}^{3} + {(16 c^{2} - a^{2})}^{3}}{{(a - 2 b)}^{3} + {(2 b - 4 c)}^{3} + {(4 c - a)}^{3}}$

A.
− (a + 2b)(b + 2c)(4c + a)
B.
2 (a + 2b)(b + 2c)(4c + a)
C.
(a + 2b)(b + 2c)(4c + a)
D.
4 (a + 2b)(b + 2c)(4c + a)

SSC CGL 11th April Shift 2 - QA

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