SSC CGL 2024-10.09.2024-2 SSC Question Paper

SSC CGL 2024-10.09.2024-2 SSC Questions

51.
Quantitative Aptitude
Find the values of x, y and z, so as to satisfy the equations given below:
x + y + z = 12; x + y – z = 6; x – y + z = 4
A.
x = 5, y = 4, z = –3
B.
x = 5, y = –4, z = 3
C.
x = 5, y = 4, z = 3
D.
x = 5, y = –4, z = –3
ANSWER :
C. x = 5, y = 4, z = 3
52.
A policeman noticed a thief at a distance of 500 metres. The policeman started running and the thief also started running at the same time. The thief is running at a speed of 15 km/h. It took 15 minutes for the policeman to catch the thief. Find the speed of the policeman (in km/h).
A.
11
B.
17
C.
12
D.
10
ANSWER :
B. 17
53.
The given table shows the number of books on different subjects. Subjects Number of Books B1 120 B2 150 B3 150 B4 120 B5 120 What is the ratio of the number of books for subject B1 to the average number of books per subject?
A.
3:5
B.
10:11
C.
4:5
D.
2:5
ANSWER :
B. 10:11
54.
If A:B = 6 : 8 and B:C = 5 : 12, then A:B:C is:
A.
11:32:44
B.
10:23:14
C.
14:31:28
D.
15:20:48
ANSWER :
D. 15:20:48
55.
If 2tan θ=3 then is equal to:
A.
6/13
B.
6/7
C.
5/7
D.
5/13
ANSWER :
D. 5/13
56.
If p cos A = 2q sin A and 2p cosec A - q sec A=3, then the value of p2+4q2 is:
A.
2
B.
4
C.
1
D.
3
ANSWER :
B. 4
57.
ΔEFG and ΔHIJ are similar. Also, ∠E = ∠H and ∠F = ∠I. If 3EF = HI and FG = 9 cm, then IJ is equal to ____.
A.
9 cm
B.
27 cm
C.
3 cm
D.
18 cm
ANSWER :
B. 27 cm
58.
Study the given bar-graph and answer the question that follows.
The bar-graph shows the sales of books (in thousands) from six branches (B1, B2, B3, B4, B5 and B6) of a publishing company during two consecutive years 2000 and 2001. The total sales of branch B6 for both the years is what percentage of the total sales of branch B3 for both the years (correct up to two decimal places)?
A.
70.69%
B.
73.17%
C.
69.25%
D.
82.26%
ANSWER :
B. 73.17%
59.
Places A and B are 20 km apart on the highway. A car starts from A and another from B at the same time. If the cars travel in the same direction at different speeds, they meet in one hour. If they travelled towards each other, they met in 12 minutes.
What are the speeds (in km/h) of two cars?
A.
60, 40
B.
52, 48
C.
51, 49
D.
55, 45
ANSWER :
A. 60, 40
60.
If 45° and 65° are the angles of a triangle, then find the exterior angle of the third angle (remaining angle).
A.
110°
B.
120°
C.
70°
D.
100°
ANSWER :
A. 110°