SSC CGL 2024-12.09.2024-3 SSC Question Paper

SSC CGL 2024 Question Papers

SSC CGL 2024-12.09.2024-3 SSC Questions

51.
Quantitative Aptitude
A pair of straight lines from an external point F intersects a circle at A and B (FA < FB), and touches the circle at C. O is the centre of the circle.
Given that ∠ACF = 50° and ∠AFC = 30°, find ∠AOB.
A.
80°
B.
90°
C.
100°
D.
40°
😑 View Answer Rough Work
ANSWER :
C. 100°
52.
The difference between a discount of 25% and two successive discounts of 15% and 20% on a certain bill was ₹28. Find the amount of the bill.
A.
500
B.
400
C.
450
D.
550
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ANSWER :
B. 400
53.
Which of the following numbers is divisible by 2, 5, 10 and 11?
A.
203467
B.
830942
C.
589270
D.
1234560
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ANSWER :
C. 589270
54.
Which of the following is the sum of the values of a and b if the equations 2x + y = a, 8x + by = 12 have infinite solutions?
A.
16
B.
9
C.
7
D.
18
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ANSWER :
C. 7
55.
How much simple interest will ₹6,700 earn in 13 months at a 12% interest rate per annum?
A.
871
B.
889
C.
821
D.
813
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ANSWER :
A. 871
56.
If tan 4θ.tanθ=, where θ is an acute angle, then find the value of Cotθ
A.
√3
B.
- √3
C.
-1
D.
1
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ANSWER :
D. 1
57.
Study the given chart and answer the question that follows. The following chart shows the production of textbooks in thousands in the years 2018, 2020 and 2022 from the print houses A, B and C, respectively.
The ratio of textbooks produced by Print house B in the year 2018 to the textbooks produced by Print house C in the year 2020 is ______.
A.
4:5
B.
3:4
C.
4:3
D.
2:3
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ANSWER :
C. 4:3
58.
In △ABD and △FEC, ∠BAD = 60°, l(BD) = l(EC), ∠ABD = ∠FEC = 90° and l(AB) = l(FE), Find the ratio of ∠BAD/∠FCE
A.
2:3
B.
1:2
C.
2:5
D.
2:1
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ANSWER :
D. 2:1
59.
The following pie chart shows the percentage distribution of a total of 1600 employees in different departments of a company. The table shows the ratio of male to female employees in different departments. Study the information and answer the question that follows. What is the percentage of the number of employees in production department to the number of female employees of all the departments taken together? (correct to one decimal place)
A.
64.3%
B.
50.7%
C.
44.9%
D.
59.1%
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ANSWER :
D. 59.1%
60.
Find the smallest value that must be assigned to number ‘a’ in order for 91876a2 to be divisible by 8.
A.
3
B.
0
C.
1
D.
2
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ANSWER :
A. 3