SSC CGL 2024-25.09.2024-2 SSC Question Paper

SSC CGL 2024-25.09.2024-2 SSC Questions

61.
The relation between K1 and K2 for which the system of linear equations K1x + 3y = 8 and 4x + K2y = 16 represents coincident lines, is:
A.
K2 = 3K1
B.
K2 + 3K1 = 0
C.
K2 = K1
D.
K1 + K2 = 0
ANSWER :
A. K2 = 3K1
62.
Two pipes X and Y can fill a tank in 14 hours and 21 hours, respectively. Both pipes are opened simultaneously to fill the tank. In how many hours will the empty tank be filled?
A.
8(2/5)hours
B.
6(2/5)hours
C.
7(2/5)hours
D.
5(5/5)hours
ANSWER :
A. 8(2/5)hours
63.
The two circles intersect at two points P and Q. PR and PS are diameters of the two circles. What is ∠PQR?
A.
90°
B.
0°
C.
45°
D.
60°
ANSWER :
A. 90°
64.
Naman borrows a sum of ₹3,48,020 at the rate of 8% per annum simple interest. At the end of the first year, he repays ₹15,090 towards return of principal amount borrowed. If Naman clears all pending dues at the end of the second year, including interest payment that accrued during the first year, how much does he pay (in ₹) at the end of the second year?
A.
3,79,386
B.
3,87,406
C.
3,88,931
D.
3,92,733
ANSWER :
B. 3,87,406
65.
IF x = p SecA CosB, y = q SecA SinB and z = r tanA, what is the value of the following expression?
[x2/p2] + [y2/q2] -[z2/r2]
A.
1
B.
p2 +q2 - r2
C.
p2 -q2 + r2
D.
0
ANSWER :
A. 1
66.
The value of (x+y)2 + (x-y)2 is equal to ?
A.
2(x+y)2
B.
2(x2+y2)
C.
(2x+2y)2
D.
4xy
ANSWER :
B. 2(x2+y2)
67.
A policeman noticed a thief at some distance. The policeman started running to catch the thief and the thief also started running at the same time. The speed of both policeman and the thief was 12 km per hour and 10 km per hour, respectively. It took 30 minutes for the policeman to catch the thief. Find the initial distance (in metres) between them.
A.
500
B.
600
C.
1000
D.
100
ANSWER :
C. 1000
68.
A circular arc whose radius is 14cm, making an angle of 45° at the centre. Find the perimeter (in cm) of the sector.
A.
38
B.
28
C.
39
D.
34
ANSWER :
C. 39
69.
The table shows the number of clerical and officer cadre employees recruited by 4 different banks A,B,C,D from 2011-2014.
Compute the ratio of the number of officer cadre employees of Bank A to the number of officer cadre employees of Bank C. Year A B C D Officer clerk Officer clerk Officer clerk Officer clerk 2011 260 458 255 460 205 428 265 470 2012 310 569 286 584 230 539 246 554 2013 350 730 321 725 340 740 361 725 2014 400 890 452 845 380 850 480 860
A.
6:5
B.
7:8
C.
5:6
D.
8:7
ANSWER :
D. 8:7
70.
If m is even, then (8m – 1) is divisible by:
A.
63
B.
42
C.
65
D.
8
ANSWER :
A. 63