SSC CGL 2024-13.09.2024-2 SSC Question Paper

SSC CGL 2024-13.09.2024-2 SSC Questions

51.
Quantitative Aptitude
The following table indicates the number of students studying in three subjects in four colleges.
What is the ratio of the total number of students studying in the Physics to that of studying in Mathematics in all four colleges taken together? Colleges Subjects W X Y Z Physics 420 435 412 285 Chemistry 380 340 315 420 Maths 256 310 295 345
A.
781 : 585
B.
775 : 601
C.
576 : 731
D.
776 : 603
ANSWER :
D. 776 : 603
52.
A chord of the larger among two concentric circles is of length 20cm and it is tangent to the smaller circle. What is the area (in cm2) of the annular portion between the two circles?
A.
100Ï€
B.
164Ï€
C.
122Ï€
D.
175Ï€
ANSWER :
A. 100Ï€
53.
The given pie-chart shows the percentage distribution of runs scored by a batsman in a test innings. Study the chart and answer the question that follows.
If the batsman has scored a total of 440 runs, how many runs did he score by hitting fours?
A.
88
B.
172
C.
224
D.
132
ANSWER :
D. 132
54.
Let a + b = 1, then what is the value of
A.
1/a2b2
B.
1/ab
C.
1/a2b
D.
1/ab2
ANSWER :
A. 1/a2b2
55.
What is the volume in cubic units of a cylinder with a height equal to the diameter and a radius is 4 units?
A.
128Ï€
B.
64Ï€/3
C.
32Ï€
D.
32Ï€/3
ANSWER :
A. 128Ï€
56.
A trader owes a merchant ₹9,810 due in 1 year, but the trader wants to settle the account after 6 months. If the rate of simple interest is 9% per annum, how much cash (in ₹) should he pay?
A.
9550
B.
9450
C.
9540
D.
9405
ANSWER :
D. 9405
57.
If , then what is the value of [Sin(x) + Cos(x)]2
A.
(2+√3)/3
B.
(2+√3)/2
C.
(2-√3)/2
D.
(2-√3)/3
ANSWER :
B. (2+√3)/2
58.
A circle's centre is connected to its 50 cm long chord by a perpendicular that is 21 cm long. Find the circle's radius.
A.
√1065 cm
B.
√1068 cm
C.
√1064 cm
D.
√1066 cm
ANSWER :
D. √1066 cm
59.
The radius of the circle is 8 cm. The distance of a point lying outside the circle from the centre is 17 cm. The length of the tangent drawn from the outside point to the circle is:
A.
18 cm
B.
15 cm
C.
16 cm
D.
19 cm
ANSWER :
B. 15 cm
60.
Simplify
A.
25a2-64b2
B.
(5a-8b)2
C.
(5a+8b)2
D.
25a2-36b2
ANSWER :
A. 25a2-64b2