SSC CGL 2024-18.09.2024-1 SSC Question Paper

SSC CGL 2024 Question Papers

SSC CGL 2024-18.09.2024-1 SSC Questions

51.
Quantitative Aptitude
A certain sum of money is given at a certain rate of simple interest for 6 years. Had it been given at 7% higher rate, it would have fetched ₹1,512 more. Find the sum (in ₹).
A.
3200
B.
3600
C.
3100
D.
4200
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ANSWER :
B. 3600
52.
A chord of length 32 cm is drawn at a distance of 12 cm from the centre of a circle. Find the radius of the circle.
A.
18 cm
B.
22 cm
C.
20 cm
D.
28 cm
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ANSWER :
C. 20 cm
53.
A shopkeeper offers the following discount schemes for buyers.
I. Two successive discounts of 15% and 20%
II. Successive discount of 25 % and 10%
III. A discount of 33%
The selling price will be minimum under the scheme:
A.
I
B.
I or II
C.
III
D.
II
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ANSWER :
C. III
54.
The perimeter of a rectangular garden is 48 m. If the length is 6 m more than the breadth, the area (in m²) of the garden is:
A.
135
B.
96
C.
84
D.
112
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ANSWER :
A. 135
55.
If three cubes of volume 512 cm³ each are joined end to end, find the surface area of the resulting cuboid.
A.
896 cm²
B.
986 cm²
C.
895 cm²
D.
869 cm²
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ANSWER :
A. 896 cm²
56.
A number r when divided by 8 leaves remainder 3. What will be the remainder when (r² + 6r + 7) is divided by 8?
A.
2
B.
3
C.
1
D.
4
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ANSWER :
A. 2
57.

\(\text{If } \sec(t) = \frac{x}{y}, \text{ then } \cot(t) \text{ is equal to:}\)

A.

\(\frac{y}{\sqrt{x^2 - y^2}}\)

B.

\(\frac{x}{\sqrt{x^2 + y^2}}\)

C.

\(\frac{x}{\sqrt{x^2 - y^2}}\)

D.

\(\frac{y}{\sqrt{x^2 + y^2}}\)

😑 View Answer Rough Work
ANSWER :

A.\(\frac{y}{\sqrt{x^2 - y^2}}\)

58.

Simplify the following:

\[\left[\left(5\frac{1}{2} - 3\frac{1}{3}\right) \text{ of } 1\frac{5}{13} + 1 - 2 \times 3\frac{5}{2} \div 2\frac{3}{4}\right]\]
A.

0

B.

\(\frac{11}{2}\)

C.

-2

D.

\(3\frac{1}{2}\)

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ANSWER :

A. 0

59.
Find the mean proportional of 36 and 100.
A.
65
B.
60
C.
55
D.
70
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ANSWER :
B. 60
60.
In a constituency, 45% of the total number of voters are males and the rest are females. If 60% of the males are illiterate and 60% of the females are literate, then by what per cent is the number of illiterate females more than that of literate males? (Rounded off to 2 decimal places)
A.
19.11%
B.
27.23%
C.
30.24%
D.
22.22%
😑 View Answer Rough Work
ANSWER :
D. 22.22%