SSC CGL 2023-17.07.2023-3 SSC Question Paper

SSC CGL 2023 Question Papers

SSC CGL 2023-17.07.2023-3 SSC Questions

51.
Quantitative Aptitude
If a cot θ + b cosec θ = p and b cot θ + a cosec θ = q then p² - q² is equal to
A.
a² + b²
B.
a² - b²
C.
b² - a²
D.
b - a
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ANSWER :
C. b² - a²
52.

What is the value of the given expression?
(a + b + c)² - a²- b² - c²

A.

2abc

B.

2(ab + bc + ca)

C.

2(a+b+c)

D.

2ab+bc-2ca

😑 View Answer Rough Work
ANSWER :

B. 2(ab + bc + ca)

53.

Study the table and answer
The table shows classification of 100 students based on marks obtained by them in statistics and mathematics in an examination out of 50.

Swipe →
Subject 40 and above 30 and above 20 and above 10 and above 0 and above
Mathematics 8 33 90 82 100
Statistics 5 22 60 87 100

If at least 60% marks in Mathematics are required for pursuing higher studies in Mathematics, then how many students will be eligible to pursue higher studies in Mathematics?

A.

33

B.

27

C.

90

D.

10

😑 View Answer Rough Work
ANSWER :

A. 33

54.
After allowing a discount of 15%, the value of a washing machine is ₹29,750. If no discount is allowed, then the shopkeeper gains 12%. The cost price of the washing machine is:
A.
31250
B.
31500
C.
31750
D.
32000
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ANSWER :
A. 31250
55.
Pratima and Diksha can complete a typing work separately in 10 hours and 15 hours, respectively. After typing for 4 hours alone, Pratima leaves the work. In how many hours will Diksha complete the remaining typing work?
A.
8
B.
10
C.
9
D.
7
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ANSWER :
C. 9
56.
What is the volume of a cube if the perimeter of one face of the cube is 40 cm?
A.
1000 cm³
B.
820 cm³
C.
600 cm³
D.
800 cm³
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ANSWER :
A. 1000 cm³
57.

The following tbale gives the information of the number of students (in 1000s) placed in 5 different companies during 6 different years.

Swipe →
Year
Company
A G Y T F
2010 9.6 10.4 9.3 9.8 8.7
2011 10.4 12.6 7.2 13.8 6.2
2012 12.6 9.8 10.4 14.9 9.8
2013 16.8 15.4 11.4 16.3 11.3
2014 19.3 13.4 13.4 11.8 7.8
2015 18.7 16.7 12.7 15.7 13.7

What is the difference (in thousands) between the students placed in all companies in the year 2014 and 2012? 

A.

9000

B.

7800

C.

8200

D.

7500

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ANSWER :

C. 8200

58.
One quality of rice at ₹45 per kg is mixed with another quality at a certain rate in the ratio of 3:2. If the mixture so formed is worth ₹50 per kg, what is the rate per kg of the second quality of rice?
A.
57
B.
57.5
C.
58
D.
58.5
😑 View Answer Rough Work
ANSWER :
B. 57.5
59.
What is the radius of circle which circumscribes the triangle ABC whose sides are 16, 30, 34 units, respectively?
A.
16 units
B.
17 units
C.
28 units
D.
34 units
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ANSWER :
B. 17 units
60.
How many of the following numbers are divisible by 132?
660, 754, 924, 1452, 1526, 1980, 2045 and 2170
A.
3
B.
6
C.
5
D.
4
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ANSWER :
D. 4