SSC CGL 2024-11.09.2024-1 SSC Question Paper

SSC CGL 2024-11.09.2024-1 SSC Questions

51.
Quantitative Aptitude
Find the smallest number to be added to 999, so that 99 divides the sum exactly.
A.
99
B.
0
C.
90
D.
9
ANSWER :
C. 90
52.
If x+1/x = 210, where x>1, then the value of (x3-1/x3) is:
A.
221
B.
234
C.
198
D.
216
ANSWER :
B. 234
53.
In an election between two candidates P and Q, P got 78% of the total valid votes. If the total votes of the electorate were 75,60,000, then what was the number of valid votes that Q got if 10% of the voters did not cast their vote and 15% of the votes polled were declared invalid?
A.
141372
B.
141732
C.
1272348
D.
147312
ANSWER :
C. 1272348
54.
In a circle, two chords MN and PQ intersect at O. If MO = 9 cm, ON = 5 cm and OQ = 6 cm, then the value of OP (in cm) is:
A.
7.5
B.
6.5
C.
6
D.
7
ANSWER :
A. 7.5
55.
In a ΔABC right-angled at C, if tan A=√3, then the value of sin A cos B cot(A+B) is:
A.
√3
B.
1
C.
0
D.
2
ANSWER :
C. 0
56.
A rectangular courtyard is 4m 95cm long and 16m 65cm broad. It is to be paved with the square tiles of the same size. Find the least number of such square tiles required to pave the rectangular courtyard.
A.
877
B.
944
C.
388
D.
407
ANSWER :
D. 407
57.
The inner and outer radii of a circular track are 28 m and 25 m, respectively. The cost (in ₹) of levelling the track at ₹28 per m² is:
[Use π = 22/7]
A.
15421
B.
13992
C.
11229
D.
17355
ANSWER :
B. 13992
58.
There are two pipes to fill a tank. Together, they can fill the tank in 15 minutes. If one pipe can fill the tank in one and a half times as fast as the other, the faster pipe alone can fill the tank in:
A.
10 minutes
B.
25 minutes
C.
20 minutes
D.
32(1/2) minutes
ANSWER :
B. 25 minutes
59.
Find the value of
A.
0
B.
1
C.
1/2
D.
2
ANSWER :
A. 0
60.
If the perimeter of an equilateral triangle is 36 units, then its area is (in square units):
A.
144√2
B.
36√2
C.
144√3
D.
36√3
ANSWER :
D. 36√3