SSC CGL Previous Year Question Paper 20th April Shift 3 | QA | Quantitative Aptitude questions | CGL Past Year Papers

1. SSC CGL 20th April Shift 3 - QA | Time, Speed & Distance - SSC

The distance between two towns is covered in 7 hours at a speed of 50 km/h. By how much should the speed (in km/h) be increased so that 2 hours of travelling time will be saved?

A.
20
B.
40
C.
70
D.
30

2. SSC CGL 20th April Shift 3 - QA | Percentage, Profit & Loss - SSC

A person bought a book at 31% discount on its printed price. If no discount was given, then he would have to pay ₹2,480 more. How much did he pay (in ₹) for the book?

A.
5,520
B.
8,000
C.
4,560
D.
7,000

3. SSC CGL 20th April Shift 3 - QA | Trigonometry - SSC

The value of

$\frac{5 \cos^{2} 62 ° + 5 \cos^{2} 28 ° - 21}{7 \sin^{2} 35 ° + 7 \sin^{2} 55 ° + 1}$

A.
-2
B.
-3
C.
2
D.
3

4. SSC CGL 20th April Shift 3 - QA | Average, Mixture & Alligation - SSC

While preparing the results of English of a class, the marks of one student got recorded as 95 in place of 57, as a result of which there was an increase in the average score by 0.95. How many students were there in the class?

A.
57
B.
37
C.
40
D.
45

5. SSC CGL 20th April Shift 3 - QA | Circles - SSC

A circle is circumscribed on a quadrilateral ∠ABCD. If ∠DAB = 100°, ∠ADB = 35° and ∠CDB = 40°, then find the measure of ∠DBC.

A.
45°
B.
60°
C.
35°
D.
40°

6. SSC CGL 20th April Shift 3 - QA | Triangles - SSC

In a triangle ABC, angle A = 68. If 'I' is incentre, then find out the measure of angle BIC.

A.
124°
B.
68°
C.
56°
D.
112°

7. SSC CGL 20th April Shift 3 - QA | Number Theory - SSC

Which of the following is the smallest number that is a perfect square and is divisible by each of ihe numbers 6, 8 and 15?

A.
225
B.
121
C.
3600
D.
576

8. SSC CGL 20th April Shift 3 - QA | Triangles - SSC

In a right-angled triangle PQR, ∠Q = 90°. A and B are the mid-points of PQ and PR, respectively. If PQ = 16 cm, QR= 30 cm and PR= 34 cm, what is perimeter (in cm) of the trapezium ABRQ?

A.
65
B.
70
C.
80
D.
40

9. SSC CGL 20th April Shift 3 - QA | Number Theory - SSC

If a + b + c = 6, a² + b² + c² = 32, and a³ + b³ + c³ = 189, then the value of 4abc is

A.
9
B.
12
C.
8
D.
16

10. SSC CGL 20th April Shift 3 - QA | Simple & Compound Interest - SSC

Divide ₹66,300 between A and B in such a way that the amount that A receives after 8 years is equal to the amount that B receives after 10 years; with compound interest being compounded annually at a rate of 10% per annum.

A.
A = ₹35,200, B =₹31,100
B.
A = ₹35,520, B =₹30,810
C.
A = ₹37,000, B =₹29,300
D.
A = ₹36,300, B =₹30,000

11. SSC CGL 20th April Shift 3 - QA | Trigonometry - SSC

A ladder of length 3.5 m just reaches the top of a wall. If the ladder makes an angle of 60° with the wall, then what is the height of the wall (in m)?

A.
$7 \sqrt{3}$
B.
1.75
C.
$3.5 \sqrt{3}$
D.
$\frac{3.5}{\sqrt{3}}$

12. SSC CGL 20th April Shift 3 - QA | Tables & Graphs - SSC

The following bar graph shows the number of youth (in lakhs) and the number of employed youth (in lakhs) in five states A, B, C, D and E. what is the average number of youth in the five states?

A.
1200000
B.
1025000
C.
1015000
D.
1010000

13. SSC CGL 20th April Shift 3 - QA | Trigonometry - SSC

The value of ${(\frac{1 - c o t θ}{1 - \tan θ})}^{2}$ +1, if 0° < θ < 90°, is equal to:

A.
cos² θ
B.
cosec² θ
C.
sin² θ
D.
sec² θ

14. SSC CGL 20th April Shift 3 - QA | Tables & Graphs - SSC

The given bar graph shows the income and expenditure (in crores ₹) of a company over 5 years, from 2014 to 2018.

Study the bar graph and answer the question that follows.

What is the difference (in crores ₹) between the expenditure for the years 2017 and 2018 taken together and the income for the years 2015 and 2016 taken together?

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

15. SSC CGL 20th April Shift 3 - QA | Tables & Graphs - SSC

Performance of 1800 students in grades has been shown in the following pie chart. How many more students have obtained grade B than those who have obtained grade C?

A.
54
B.
3
C.
60
D.
50

16. SSC CGL 20th April Shift 3 - 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 less than the average number of cars passed from 7 am to 12 noon?

A.
7- 8, 8-9 9-10
B.
6-7, 11-12
C.
6-7, 10-11, 11-12
D.
0-11, 11-12

17. SSC CGL 20th April Shift 3 - QA | Number Theory - SSC

If (4a - 3b) = 1, ab = $\frac{1}{2}$ , where a > 0 and b > 0, what is the value of (64a³ + 27b³)?

A.
15
B.
35
C.
25
D.
30

18. SSC CGL 20th April Shift 3 - QA | Percentage, Profit & Loss - SSC

A is 25% more than B, and B is 40% less than C. If C is 20% more than D, then A is what percentage less than D?

A.
12%
B.
10%
C.
11%
D.
9%

19. SSC CGL 20th April Shift 3 - QA | Ratio, Proportion & Variation - SSC

Three partners shared the profit in a business in the proportion of 9 : 8 : 11. They invested their capitals for 4 months, 6 months and 18 months, respectively. What was the ratio of their capitals?

A.
27 : 48 : 22
B.
81 : 48 : 22
C.
81 : 16 : 66
D.
27 : 16 : 66

20. SSC CGL 20th April Shift 3 - QA | Percentage, Profit & Loss - SSC

An article is sold at a certain price. If it is sold at 70% of this price, then there is a loss of 10%. What is the percentage profit, when it is sold at the original selling price?

A.
$\frac{100}{7}$ %
B.
$\frac{50}{7}$ %
C.
$\frac{300}{7}$ %
D.
$\frac{200}{7}$ %

21. SSC CGL 20th April Shift 3 - QA | Mensuration - SSC

The length of the body diagonal of a cube is 8√3 cm. What is the volume (in ) of the cube?

A.
512
B.
343
C.
216
D.
729

22. SSC CGL 20th April Shift 3 - QA | Time & Work - SSC

A and B can do a work in 12 days and 18 days, respectively. They worked together for 4 days after which B was replaced by C and the remaining work was completed by A and C in the next 4 days. In how many days will C alone complete 50% of the same work?

A.
24
B.
36
C.
21
D.
18

23. SSC CGL 20th April Shift 3 - QA | Simplification - SSC

Find the value of the following expression:

$\frac{1 \frac{1}{2} + 1 \frac{3}{7} \div (1 \frac{3}{5} of 1 \frac{1}{4}) \times 2 \frac{1}{3}}{2 \frac{2}{3} \div \frac{4}{9} \times \frac{5}{6} + 14}$

A.
$\frac{107}{342}$
B.
$\frac{49}{114}$
C.
$\frac{1}{6}$
D.
$\frac{13}{114}$

24. SSC CGL 20th April Shift 3 - QA | Quadrilaterals & Polygons - SSC

PQRS is a cyclic quadrilateral and PQ is a diameter of the circle. If ∠RPQ = 23°, then what is the measure of ∠PSR?

A.
147°
B.
113°
C.
123°
D.
157°

25. SSC CGL 20th April Shift 3 - QA | Number Theory - SSC

If 5 $\sqrt{3} + \sqrt{75}$ = 17.32, then the value of $14 \sqrt{3} + \sqrt{108}$

A.
33.86
B.
34.64
C.
35.64
D.
32.46

SSC CGL 20th April Shift 3 - QA

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