SSC GD 2023-13.1.2023-3 SSC Question Paper

SSC GD 2023-13.1.2023-3

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

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
ANSWER :
C. (x² − y²)²
43.
The average salary of all the workers in a factory is ₹3,000. Among these workers, there are 12 higher officers and their average salary is ₹12,000. The average salary of the remaining workers is ₹2,500. The total number of the workers is ______.
A.
200
B.
204
C.
216
D.
228
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.

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

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
ANSWER :
D. 17640
46.
A sum on compound interest, compounding annually amounts to ₹30,250 in 2 years and to ₹33,275 in 3 years. Find the sum.
A.
₹23,000
B.
₹26,000
C.
₹24,000
D.
₹25,000
ANSWER :
D. ₹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
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%
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

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
ANSWER :
A. 3