SSC CGL Previous Year Question Paper 19th April Shift 2 | QA | Quantitative Aptitude questions | CGL Past Year Papers

1. SSC CGL 19th April Shift 2 - QA | Time & Work - SSC

X, Y and Z can complete a piece of work in 46 days, 92 days and 23 days, respectively. X started the work. Y joined him after 7 days. If Z joined them after 8 days from the beginning, then for how many days did Y work?

A.
12 $\frac{5}{7}$
B.
10 $\frac{5}{7}$
C.
9 $\frac{5}{7}$
D.
11 $\frac{5}{7}$

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

If x² - 5x - 1 = 0, what is the value of $\frac{x^{2} - x^{4} + x^{2} - 1}{x^{3}}$

A.
140
B.
145
C.
135
D.
130

3. SSC CGL 19th April Shift 2 - QA | Tables & Graphs - SSC

Study the given histogram and answer the question that follows.
The histogram represents the percentage of marks obtained by a number of students of a school in the class X Board
Examination in 2018. The total number of students = 250.

The number of students who have obtained less than 50% marks is approximately what percentage less than the number of students who have obtained 90% marks and above?

A.
40%
B.
75%
C.
80%
D.
60%

4. SSC CGL 19th April Shift 2 - QA | Time, Speed & Distance - SSC

A car covers a distance of 90 km in 50 min What is its speed (in m/s)?

A.
30
B.
108
C.
60
D.
90

5. SSC CGL 19th April Shift 2 - QA | Percentage, Profit & Loss - SSC

An article is sold at a profit of 13 $\frac{1}{4}$ . Had it been sold for ₹76.70 more, the profit would have been 16 $\frac{1}{5}$ %. 50% of the cost price of the article (in ₹) is:

A.
1,500
B.
1,250
C.
1,300
D.
2,500

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

What is the simplified value of the following?

A.
$\frac{40}{7}$
B.
$\frac{51}{56}$
C.
$\frac{5}{56}$
D.
$\frac{7}{40}$

7. SSC CGL 19th April Shift 2 - QA | Number Theory - SSC

If 8A5146B is divisible by 88 then what is the value of A⁸?

A.
27
B.
81
C.
12
D.
64

8. SSC CGL 19th April Shift 2 - QA | Percentage, Profit & Loss - SSC

Find a single discount percentage equivalent to successive discounts of 10%, 20% and 25%.

A.
55%
B.
46%
C.
18.3%
D.
20%

9. SSC CGL 19th April Shift 2 - QA | Simple Equation - SSC

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

A.
1
B.
-3
C.
-4
D.
5

10. SSC CGL 19th April Shift 2 - QA | Tables & Graphs - SSC

The following pie-charts show the number of students studying in different departments of an institute during the academic years 2019 and 2020. The total number of students was 2000 and 2400, respectively, in academic years 2019 and 2020.
What is the ratio of the number of students studying science in the year 2019 to that in the year 2020?

A.
15 : 19
B.
20 : 21
C.
18 : 19
D.
14 : 15

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

Two similar jugs have their heights of 8 cm and 12 cm, respectively. If the capacity of the smaller jug is 80 cm³, what is the capacity of the bigger jug (in cm³)?

A.
270
B.
216
C.
192
D.
120

12. SSC CGL 19th April Shift 2 - QA | Trigonometry - SSC

If cos B = $\frac{5}{7}$ , what is the value of cosec B + cot B?

Given that 0 < B < $\frac{π}{2}$

A.
$\frac{\sqrt{6}}{12}$
B.
$\sqrt{6}$
C.
$\frac{7}{\sqrt{6}}$
D.
$\frac{5}{\sqrt{6}}$

13. SSC CGL 19th April Shift 2 - QA | Tables & Graphs - SSC

The given pie charts show the number of start-ups in various industries since 2010 at the the number of successful start-ups in those industries.
Study the charts and answer the question that follows.
Start-ups in various industries started since 2010

Successful start-ups in various industries

What should be the increase in the number (to the nearest integer) of successful start-ups in the industry of Health & Sports, so that its success percentage is the same as that of Education?

A.
220
B.
127
C.
155
D.
187

14. SSC CGL 19th April Shift 2 - QA | Percentage, Profit & Loss - SSC

A is 120% of B and B is 65% of C. If the sum of A, B and C is 12 1.5, then the value of C - 2B + A is:

A.
24
B.
14
C.
39
D.
35

15. SSC CGL 19th April Shift 2 - QA | Lines & Angles - SSC

A 20 m long ladder rests against a wall so that the angle between the ladder and the wall is 30°. How far (in m) is the base of the ladder from the wall?

A.
10 $\sqrt{3}$
B.
20
C.
10
D.
20 $\sqrt{3}$

16. SSC CGL 19th April Shift 2 - QA | Lines & Angles - SSC

In ∆ABC, ∠A = 66∘, BD ⊥ AC and CE ⊥ AB. BD and EC inrersect at P. The bisectors ∠PBC and ∠PCB meet at Q. What is the measure of ∠BQC?

A.
132°
B.
143°
C.
147°
D.
127°

17. SSC CGL 19th April Shift 2 - QA | Triangles - SSC

A circle is inscribed in ∆ABC, touching AB, BC and AC at the points P, Q and R, respectively. If AB - BC = 4 cm, AB -AC= 2 cm and the perimeter of ∆ABC = 32 cm , then $\frac{B C}{2}$ (in cm) =?

A.
$\frac{11}{3}$
B.
$\frac{10}{3}$
C.
$\frac{13}{3}$
D.
$\frac{20}{3}$

18. SSC CGL 19th April Shift 2 - QA | Simple & Compound Interest - SSC

The compound interest on a certain sum of money at 21% p.a. for 2 years is ₹11,138.40 (interest compounded yearly).

The total amount received (in ₹) after 2 years is:

A.
35,138.40
B.
40,00.50
C.
28,315.40
D.
31,538.40

19. SSC CGL 19th 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.

The total exports of cars of type B from 2015 to 2018 is what percentage more than the total exports of cars of type A from 2015 to 2018 ( correct to one decimal place)?

A.
14.9%
B.
17.2%
C.
16.7%
D.
15.5%

20. SSC CGL 19th April Shift 2 - QA | Circles - SSC

Chords AB and CD of a circle intersect externally at P. If AB = 7 cm, CD = 1 cm and PD = 5 cm, then 50% of the length of PA (in cm) is:

A.
5
B.
10
C.
8
D.
3

21. SSC CGL 19th April Shift 2 - QA | Percentage, Profit & Loss - SSC

A and B had a joint business in which A invested ₹60,000 in the business for one year. After 3 months B invested ₹80,000. At the beginning of the second year, A invested ₹30,000 more and B withdrew ₹5,000. At the end of two years, profit earned by A is ₹35,880. What is the profit (in ₹) earned by B, if they distributed half of the total profit equally and rest in the capital ratio?

A.
58,940
B.
69,920
C.
34,040
D.
38,060

22. SSC CGL 19th April Shift 2 - QA | Average, Mixture & Alligation - SSC

The average of three numbers is 15. The average of the second and the third number is 12.5. What is the first number?

A.
18
B.
20
C.
21
D.
24

23. SSC CGL 19th April Shift 2 - QA | Triangles - SSC

The circumcentre of an equilateral triangle is at a distance of 3.2 cm from the base of the triangle. What is the length (in cm) of each of its atitudes?

A.
9.6
B.
6.4
C.
12.8
D.
7.2

24. SSC CGL 19th April Shift 2 - QA | Number Theory - SSC

What is the LCM of 3.6, 18 and 0.144?

A.
36
B.
3600
C.
3.6
D.
360

25. SSC CGL 19th April Shift 2 - QA | Trigonometry - SSC

If cos 53° = $\frac{x}{y}$ , then sec 53° + cot 37° is equal to:

A.
$\frac{x + \sqrt{y^{2} - x^{2}}}{x}$
B.
$\frac{x + \sqrt{y^{2} - x^{2}}}{y}$
C.
$\frac{y + \sqrt{y^{2} - x^{2}}}{x}$
D.
$\frac{y + \sqrt{y^{2} - x^{2}}}{y}$

SSC CGL 19th April Shift 2 - QA

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