SSC CGL 2024-24.09.2024-1 SSC Question Paper

SSC CGL 2024-24.09.2024-1 SSC Questions

51.
Quantitative Aptitude
` If Secθ=√2, then Cosecθ is equal to:
A.
0
B.
√2
C.
−1
D.
1
ANSWER :
B. √2
52.
The figure shows the estimated expenses of a fmaily whose total estimated expenditure was Rs.2,50,000. Study the figure and answer the question.
It was found that the actual expenditure on electricity was 10% more than the estimated expenditure, and the actual expenditure on rent was 20% less than estimated. All other expenes were same as that of the estimates. What was the toal actual expenditure?
A.
₹2,52,500
B.
₹2,40,750
C.
₹2,43,750
D.
₹2,48,750
ANSWER :
B. ₹2,40,750
53.
One pipe can fill a tank 6 times faster than another pipe. If both the pipes together can fill the tank in 40 minutes, then in how many minutes will the slower pipe alone be able to fill the tank?
A.
275
B.
285
C.
290
D.
280
ANSWER :
C. 290
54.
In how much time (in years, rounded off to 2 decimal places) will ₹10,800 amount to ₹24,800 if invested at simple interest at the rate of 15.5% per annum?
A.
7.72
B.
8.36
C.
9.54
D.
6.89
ANSWER :
D. 6.89
55.
Find the greatest value of ‘k’ in a 6-digit number 6745k2 such that the number is divisible by 3.
A.
8
B.
6
C.
9
D.
7
ANSWER :
B. 6
56.
In an election between two candidates, 80% of the voters cast their votes, out of which 4% votes were declared invalid. A candidate got 15,360 votes which were 80% of the valid votes. Find the total number of votes.
A.
20000
B.
18000
C.
25000
D.
23000
ANSWER :
C. 25000
57.
IF 2sin2θ+3Sinθ-2=0, (0<θ<90°), then the value of θ is ?
A.
15°
B.
30°
C.
60°
D.
45°
ANSWER :
C. 60°
58.
If Sin3A=Cos(A-26°) , then A = ________, where 3A is an acute angle.
A.
29°
B.
52°
C.
26°
D.
78°
ANSWER :
B. 52°
59.
Triangle XYZ is an isosceles triangle with sides XY = XZ. If the measure of angle Y is 80°, what is the measure of angle X?
A.
30°
B.
40°
C.
20°
D.
50°
ANSWER :
A. 30°
60.
What conclusion can be drawn about the solution of the following system of linear equations in two variables:
3x + 2y = 7
2x + 3y = 7
A.
No solution
B.
Unique solution
C.
Infinite solutions
D.
More than two solution
ANSWER :
C. Infinite solutions