SSC CGL Previous Year Question Paper 12th April Shift 2 | QA | Quantitative Aptitude questions | CGL Past Year Papers

1. SSC CGL 12th April Shift 2 - QA | Tables & Graphs - SSC

The given histogram represents the marks of students in Mathematics test of a certain class.
The total number of students is 350 and the maximum marks of the test are 200. Study the graph and answer the question that follows.

What is the class average ( correct up to one place of decimal) of mathematics test?

A.
119.3
B.
123.7
C.
115.8
D.
127.3

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

In a quadrilateral ABCD, the bisectors of ∠C and ∠D meet at point E. If ∠CED = 57° and ∠A = 47°, then the measure of ∠B is:

A.
47°
B.
67°
C.
77°
D.
57°

3. SSC CGL 12th April Shift 2 - QA | Simplification - SSC

The value of 40 ÷ 5 2 × [18 ÷ 6 × (12 − 9) of5 − (3 − 8)] ÷ 25 is:

A.
5
B.
7
C.
8
D.
4

4. SSC CGL 12th April Shift 2 - QA | Time & Work - SSC

A can complete 25% of a work in 15 days. He works for 15 days and then B alone finishes the remaining work in 30 days. In how many days will A and B working together finish 50% of the same work?

A.
24
B.
20
C.
12
D.
25

5. SSC CGL 12th April Shift 2 - QA | Percentage, Profit & Loss - SSC

A and B start a business. A invests %, of the total capital and B invests the remaining. If the total profit at the end of the year is ₹1,62,000, then B's share (in ₹) is:

A.
1,08,000
B.
1,12,000
C.
1,20,000
D.
54,000

6. SSC CGL 12th April Shift 2 - QA | Percentage, Profit & Loss - SSC

A shopkeeper marks his goods at a price 20% higher than their cost price and allows 10% discount on every item. Find his gain percentage.

A.
10%
B.
10.5%
C.
9%
D.
8%

7. SSC CGL 12th April Shift 2 - QA | Tables & Graphs - SSC

The following bar graph shows the number of youth (in lakhs) and the number of employed youth (in lakhs) in 5 states A, B, C, D and E.
In which state(s) is the number of youth more than the average number of youth in the five states?

A.
A
B.
A, C
C.
A, C, D, E
D.
A, C, D

8. SSC CGL 12th April Shift 2 - QA | Average, Mixture & Alligation - SSC

Six bells begin to toll together and toll, respectively, at intervals of 3, 4, 6, 7, 8 and 12 seconds. After how many seconds, will they toll together again?

A.
167
B.
168
C.
176
D.
186

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

The angle of elevation of the top of a tall building from the points M and N at the distances of 72 m and 128 m, respectively, from the base of the building and in the same straight line with it, are complementary. The height of the building (in m) is:

A.
84
B.
96
C.
80
D.
90

10. SSC CGL 12th April Shift 2 - QA | Simple & Compound Interest - SSC

The simple interest on a certain sum is one-eighth of the sum when the number of years is equal to half of the rate percentage per annum. Find the simple inrerest (in ₹) on ₹ 15,000 at the same rate of simple interest for 8 years.

A.
5,800
B.
5,000
C.
6,000
D.
5,250

11. SSC CGL 12th April Shift 2 - QA | Average, Mixture & Alligation - SSC

What is the average of all the prime numbers between 70 and 90?

A.
80
B.
78.66
C.
79
D.
81.6

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

In △ABC,∠A = 88°. If I is the incentre of the triangle, then the measure of ∠BIC is:

A.
112°
B.
134°
C.
56°
D.
68°

13. SSC CGL 12th 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

14. SSC CGL 12th April Shift 2 - QA | Tables & Graphs - SSC

The breakup of the total number of employees of a company working in different offices (A to E). in degrees, is given in the pie chart.
Total number of employees = 2400.

In which office is the number of employees 600?

A.
E
B.
A
C.
C
D.
D

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

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

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

16. SSC CGL 12th April Shift 2 - QA | Circles - SSC

If the volume of a sphere is equal to that of a cylinder having the same radius, then find the ratio of the radius to the height of the cylinder.

A.
1 : 2
B.
2 : 3
C.
3 : 4
D.
3 : 5

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

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

A.
cos² −1
B.
sec² θ + 1
C.
cot² θ − 1
D.
sin²θ − 1

18. SSC CGL 12th April Shift 2 - QA | Triangles - SSC

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 = 78°, then the measure of ∠P is:

A.
51°
B.
61°
C.
55°
D.
56°

19. SSC CGL 12th April Shift 2 - QA | Time, Speed & Distance - SSC

A and B started their journeys from X to Y and Y to X, respectively. After crossing each other, A and B completed remaining parts of their journeys in 6 $\frac{1}{8}$ hours and 8 hours, respectively. If the speed of A is 32 km/h, then the speed, in km/h, of B is:

A.
21
B.
28
C.
30
D.
25

20. SSC CGL 12th April Shift 2 - QA | Tables & Graphs - SSC

The following bar chart shows the number of students enrolled in two Summer Camps A and B from 2014 to 2019.
Study the chart carefully and answer the question that follows.

The number of students enrolled in Camp A in 2016 and 2019 together is what percentage of the number of students enrolled in Camp B in 2015 and 2017 together?

A.
64%
B.
75%
C.
60%
D.
80%

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

A cyclic quadrilateral ABCD is drawn in a circle with centre O, A and C are joined to O. If ∠ABC = 2p and ∠ADC = 3p, what is the measure (in degrees) of the ∠AOC reflex?

A.
200
B.
245
C.
210
D.
216

22. SSC CGL 12th April Shift 2 - QA | Number Theory - SSC

If 8A5146B is divisible by 88, then what is the value of B - A?

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

23. SSC CGL 12th April Shift 2 - QA | Simple Equation - SSC

If a + b + C = 6, a² + b² + c² = 32, and a² + b² + c² = 189, then the value of abc - 3 is:

A.
2
B.
3
C.
1
D.
0

24. SSC CGL 12th 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% on article B and the difference in their selling prices is ₹480. The difference in the cost price (in ₹) of articles B and A is:

A.
250
B.
300
C.
400
D.
350

25. SSC CGL 12th April Shift 2 - QA | Number Theory - SSC

$\frac{11}{5}$ of a number A is 22% of a number B. The number B is equal to 2.5% of a third number C. If the value of C is 5500, then the sum of 80% of A and 40% of B is:

A.
88
B.
75
C.
48
D.
66

SSC CGL 12th April Shift 2 - QA

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