SSC CGL Previous Year Question Paper 18th April Shift 2 | QA | Quantitative Aptitude questions | CGL Past Year Papers

1. SSC CGL 18th April Shift 2 - QA | Trigonometry - SSC

The expression (cos⁶ θ + sin⁶ θ tan² θ + tan² θ + 2) + 1

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

2. SSC CGL 18th April Shift 2 - QA | Time, Speed & Distance - SSC

A railway engine passes two bridges of lengths 400 m and 235 m and 100 seconds and 60 seconds. respectively. Twice the length of the railway engine (in m) is:

A.
24
B.
25
C.
12.5
D.
12

3. SSC CGL 18th April Shift 2 - QA | Lines & Angles - SSC

The sides AB and AC of △ABC are produced to points D and E. respectively. The bisectors of ∠CBD and ∠BCE meet at P. If ∠A = 88°, then the measure of ∠P is:

A.
46°
B.
56°
C.
51°
D.
61°

4. SSC CGL 18th 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) during 2014 to 2018.

In which year are the exports of cars of type A ₹20 million less more than the average exports (per year) of cars of type B?

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

5. SSC CGL 18th April Shift 2 - QA | Simple Equation - SSC

If a² + b² + 49c² + 18 = 2 (b − 28c − a), then the value of (a - b - 7c) is:

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

6. SSC CGL 18th April Shift 2 - QA | Simple & Compound Interest - SSC

Joseph deposited a total of ₹52,500 in a bank in the names of his two daughters aged 15 years and 16 years in such a way that they would get equal amounts when they become 18 years old. If the bank gives 10', compound interest compounded annually, then what is the amount (in ₹) that Joseph had deposited in the name of his younger daughter?

A.
5,500
B.
4,500
C.
5,000
D.
6,000

7. SSC CGL 18th April Shift 2 - QA | Circles - SSC

The circumference of the base of a right circular cylinder is 62.8 cm and its volume is 8792 cm³. What is the curved surface area (in cm²) of the cylinder (Take π = 3.14)

A.
1695.6
B.
1758.4
C.
1632.8
D.
1570.2

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

The average of eight consecutive odd numbers is 28. The sum of the smallest and the largest number is:

A.
45
B.
52
C.
48
D.
56

9. SSC CGL 18th April Shift 2 - QA | Triangles - SSC

In ∆ABC, AB = 7 cm. BC = 10 cm. and AC = 8 cm. If AD is the angle bisector of ∠BAC, where D is a point on BC, then $\frac{D C}{4}$ (in cm) is equal to:

A.
$\frac{14}{3}$
B.
$\frac{4}{3}$
C.
$\frac{11}{3}$
D.
$\frac{7}{3}$

10. SSC CGL 18th April Shift 2 - QA | Tables & Graphs - SSC

The number of cars passing the road near a colony from 6 am to 12 noon has been shown in the following histogram.
During which hour(s) is the number of cars passed more than the average number of cars passed from 6 am to 11 am?

A.
8- 9 am, 9- 10 am
B.
8- 9 am
C.
7- 8 am, 8- 9 am, 9--10 am, 10-11 am
D.
7- 8 am, 8- 9 am, 9--10 am

11. SSC CGL 18th April Shift 2 - QA | Number Theory - SSC

What is the greatest four-digit number which on being divided by 6, 7 and 8 leaves 4, 5 and 6 as remainders, respectively?

A.
9910
B.
9920
C.
9921
D.
9912

12. SSC CGL 18th April Shift 2 - QA | Lines & Angles - SSC

A poster is on top of a building. A person is standing on the ground at a distance of 50 m from the building. The angles of elevation to the top of the poster and bottom of the poster are 45° and 30°, respectively. What is 200% of the height (in m) of the poster?

A.
$\frac{25}{3}$ (3 - $\sqrt{3}$ )
B.
$\frac{75}{3}$ (3 - $\sqrt{3}$ )
C.
$\frac{50}{3}$ (3 - $\sqrt{3}$ )
D.
$\frac{100}{3}$ (3 - $\sqrt{3}$ )

13. SSC CGL 18th April Shift 2 - QA | Ratio, Proportion & Variation - SSC

The ratio of the profits of P and Q is 5: 8. What is their investment ratio, if their investment time period ratio is 3: 5?

A.
13 : 25
B.
12 : 25
C.
24 : 25
D.
25 : 24

14. SSC CGL 18th April Shift 2 - QA | Number Theory - SSC

If a nine digit number 468 5138y is divisible by 72, then the value of $\sqrt{4 x - 3 y}$ is:

A.
8
B.
9
C.
12
D.
6

15. SSC CGL 18th April Shift 2 - QA | Tables & Graphs - SSC

The given bar graph shows the sales of computers from six dealers A, B, C, D, E and F, during two consecutive years 2015 and 2016. Study the graph and answer the question that follows.

What is the ratio of the total sales from dealers A, B and C taken together for the year 2015 to the sales from dealers D, E and F taken together for die year 2016?

A.
25 : 39
B.
37 : 21
C.
21 : 37
D.
39 : 25

16. SSC CGL 18th April Shift 2 - QA | Simplification - SSC

The value of 15 + 6.3 ÷ 7 - 3 × 1.3 - 2 is:

A.
9
B.
-10
C.
10
D.
7

17. SSC CGL 18th April Shift 2 - QA | Time, Speed & Distance - SSC

A river 6 m deep and 35 m wide is flowing at the rate of 2.5 km/h, the amount of water that runs into the sea per minute is:

A.
8570 m³
B.
7850 m³
C.
7580 m³
D.
8750 m³

18. SSC CGL 18th April Shift 2 - QA | Time & Work - SSC

A can complete work in 25 days and B can complete the same work in 20 days. They started the work together but B left after 4 days and A continued to work, In how many days will the entire work completed?

A.
25
B.
20
C.
28
D.
22

19. SSC CGL 18th April Shift 2 - QA | Simplification - SSC

If 2 $\sqrt{2}$ $x^{3}$ - 3 $\sqrt{3}$ $y^{3}$ = ( $\sqrt{2}$ x - $\sqrt{3}$ y) (A $x^{2}$ - Bxy + C $y^{2}$ ), then the value of $\sqrt{(A^{2} + B^{2} + C^{2})}$

A.
$\sqrt{19}$
B.
$\sqrt{11}$
C.
$\sqrt{17}$
D.
$\sqrt{21}$

20. SSC CGL 18th April Shift 2 - QA | Percentage, Profit & Loss - SSC

The cost prices of two articles A and B are in the ratio 4 : 5. While selling these articles, the shopkeeper gains 10% on article A and 20% profit on article B, and the difference in their selling prices is ₹480. Find 300, of the total cost price (in ₹) of both the articles.

A.
1,250
B.
1,000
C.
900
D.
810

21. SSC CGL 18th April Shift 2 - QA | Trigonometry - SSC

The value of 2 - $\sqrt{\frac{c o t θ - \cos θ}{c o t θ - \cos θ}}$ , when 0° < θ < 90° is equal to:

A.
2 + sec θ + tan θ
B.
2 − sec θ + tan θ
C.
2 − sec θ − tan θ
D.
2 + sec θ − tan θ

22. SSC CGL 18th April Shift 2 - QA | Number Theory - SSC

If a positive number 'k' when multiplied by 30% of itself gives a number which is 170% more than the number 'k', then the number 'k' is equal to:

A.
9
B.
5
C.
6
D.
7

23. SSC CGL 18th April Shift 2 - QA | Lines & Angles - SSC

AB is a chord of a circle with centre O. while PAQ is the tangent at A. R is a point on the mirror are AB. If ∠BAQ = 70°, then find the measure of ∠ARB.

A.
110°
B.
125°
C.
70°
D.
145°

24. SSC CGL 18th April Shift 2 - QA | Percentage, Profit & Loss - SSC

A shopkeeper announces a discount of 48% and then by a further discount of 15% what is the final sale price ( in Rs, to the nearest rupee) of a sofa costing Rs 29600 and what is the discount (in Rs)?

A.
13280, 16517
B.
13083, 16517
C.
16517, 13083
D.
16517, 13280

25. SSC CGL 18th April Shift 2 - QA | Tables & Graphs - SSC

The following pie chart shows the distribution of percentage of a certain corporate office employees in various age-groups.
Total number of employees of the corporate office = 2500
Study the chart carefully and answer the question that follow.

What is the central angle (in degrees) corresponding to the age groups 38+ to 48 years and 58+ years and above, taken together?

A.
36
B.
144
C.
120
D.
108

SSC CGL 18th April Shift 2 - QA

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