SSC GD 2023-13.1.2023-3 SSC Question Paper

SSC GD 2023 Question Papers

SSC GD 2023-13.1.2023-3 SSC Questions

41.

Part C - Elementary Mathematics
A toy is in the form of a cone mounted on a hemisphere. The radius of the hemisphere and that of the cone is 7 cm and height of the cone is 5 cm. The total surface area of the toy (take π =\( \frac{22}{7} \)) is (rounded off to two places of decimal):

A.

2648.81 cm²

B.

2666.85 cm²

C.

497.25 cm²

D.

486.65 cm²

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ANSWER :

C. 497.25 cm²

42.
Find the mean proportional of (x + y)⁴ and (x – y)⁴.
A.
(x² − y²)³
B.
(x² − y²)
C.
(x² − y²)²
D.
(x² − y²)⁴
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ANSWER :
C. (x² − y²)²
43.
The average salary of all the workers in a factory is Rs.3,000. Among these workers, there are 12 higher officers and their average salary is Rs.12,000. The average salary of the remaining workers is Rs.2,500. The total number of the workers is ______.
A.
200
B.
204
C.
216
D.
228
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ANSWER :
D. 228
44.

The HCF of \( \frac{3}{8} \), \( \frac{5}{12} \) and \( \frac{15}{16} \) is:

A.

\( \frac{1}{12} \)

B.

\( \frac{1}{24} \)

C.

\( \frac{1}{48} \)

D.

\( \frac{1}{36} \)

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ANSWER :

C. \( \frac{1}{48} \)

45.
The population of a town is increasing at 5% per annum. What will be the population of the town after 2 years, if the present population is 16000?
A.
17960
B.
16560
C.
16960
D.
17640
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ANSWER :
D. 17640
46.
A sum on compound interest, compounding annually amounts to Rs.30,250 in 2 years and to Rs.33,275 in 3 years. Find the sum.
A.
Rs.23,000
B.
Rs.26,000
C.
Rs.24,000
D.
Rs.25,000
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ANSWER :
D. Rs.25,000
47.
A and B can together finish a work in 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days can A alone finish the whole work?
A.
60
B.
66
C.
56
D.
62
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ANSWER :
A. 60
48.
By selling goods for ₹15,000, Ramu gains ₹3,000. What is his profit percentage?
A.
18%
B.
25%
C.
30%
D.
20%
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ANSWER :
B. 25%
49.

A, B and C together can complete a piece of work in \( \frac{40}{3} \) days. All three started working at it together and after 5 days A left. Then B and C together completed the remaining work in 17 days. Find the number of days (approximately) in which A alone can complete the total work.

A.

24 days

B.

29 days

C.

26 days

D.

44 days

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ANSWER :

C. 26 days

50.
Find the remainder when the smallest 6-digit number divisible by 12, 15 and 25 is divided by 9.
A.
3
B.
1
C.
2
D.
0
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ANSWER :
A. 3