SSC GD 2023-10.1.2023-3 SSC Question Paper

SSC GD 2023-10.1.2023-3 SSC Questions

41.
Part C - Elementary Mathematics
The value of an article depreciated from ₹18,000 to ₹14,580 in 2 years. Find the yearly rate of depreciation in the value of the article.
A.
10%
B.
12%
C.
9%
D.
8%
ANSWER :
A. 10%
42.

Ramu and Mohan can separately complete a work in 10 hours and 16 hours,respectively. After working for 2 hours together, Mohan leaves the work. In how many hours will Ramu finish the remaining work?

A.

6\( \frac{1}{4} \)

B.

6\( \frac{3}{4} \) hours

C.

5\( \frac{3}{4} \) hours

D.

7\( \frac{3}{4} \) hours

ANSWER :

B. 6\( \frac{3}{4} \) hours

43.

A car covers a certain distance in 3 h with a speed of 108 km/h. If the speed is reduced by 27 km/h, then the time taken by the car to cover the same distance will be:

A.

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

B.

2 h

C.

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

D.

4 h

ANSWER :

D. 4 h

44.
Rahul travels a certain distance at a speed of 4 km/h and returns at a speed of 3 km/h via same route. What was his average speed for the entire journey (correct to 2 decimal places)?
A.
3.43 km/h
B.
5.92 km/h
C.
1.23 km/h
D.
2.5 km/h
ANSWER :
A. 3.43 km/h
45.

Rohan divides his complete journey in three equal parts and covers the first part at 30 km/h, second part at 40 km/h and last part at 50 km/h with his car. What is the average speed (in km/h) of his car during the entire journey?

A.

38 \( \frac{14}{47} \)

B.

35 \( \frac{14}{47} \)

C.

40

D.

45

ANSWER :

A. 38 \( \frac{14}{47} \)

46.
A can do a piece of work in 8 days and B in 24 days. They begin together, but 4 days before the completion of the work, A leaves. Find the number of days taken by A and B to complete the entire work.
A.
11 days
B.
8 days
C.
9 days
D.
7 days
ANSWER :
C. 9 days
47.

A thief started his journey at a speed of 60 km/h. After 30 minutes, police started from the same place but at a speed of 80 km/h. How much time (in hours) will the police take to catch the thief?

A.

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

B.

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

C.

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

D.

\( \frac{5}{2} \) hours

ANSWER :

A. \( \frac{3}{2} \) hours

48.
What is the difference between the compound interest on Rs.5,750 for one year at 16% per annum compounded yearly and compounded half-yearly?
A.
Rs.49.76
B.
Rs.36.80
C.
Rs.29.50
D.
Rs.32.58
ANSWER :
B. Rs.36.80
49.

Evaluate the following expression: [(\( \frac{-4}{7} \)) ÷ (\( \frac{1}{12} \))] ÷ [(-\( \frac{4}{5} \) × {(-2) - (-\( \frac{2}{7} \))}]

A.

-5

B.

-\( \frac{1}{5} \)

C.

\( \frac{1}{5} \)

D.

5

ANSWER :

A. -5

50.
The volumes of two cones are in the ratio of 3:2 and their radii are in the ratio 3:4. The ratio of their heights is:
A.
8:3
B.
9:4
C.
4:9
D.
2:1
ANSWER :
A. 8:3