SSC CGL 2024-10.09.2024-1 SSC Question Paper

SSC CGL 2024-10.09.2024-1 SSC Questions

51.
Quantitative Aptitude
The ages of two friends, Ram and Ravi, differ by 7 years. Ram’s mother Mayadevi is three times as old as Ram, and Ravi is four times as old as his brother Soham. The ages of Mayadevi and Soham differ by 65 years. Find the age of Mayadevi (in years).
A.
69
B.
36
C.
85
D.
45
ANSWER :
A. 69
52.
The following table represents the total number of research scholars and the respective number of female research scholars in various departments of a university. Study the table carefully and answer the question that follows. Department Total number of research scholars Number of female research scholars Physics 35 12 Chemistry 40 28 Mathematics 18 4 Statistics 12 3 What is the ratio of male research scholars in Mathematics to Statistics?
A.
14:9
B.
7:6
C.
6:7
D.
9:14
ANSWER :
A. 14:9
53.
What is the value of D, if A : C = B : D in the given table? A B C D 25 40 30 ?
A.
56
B.
48
C.
45
D.
42
ANSWER :
B. 48
54.
By applying which of the following criteria can two triangles NOT be proved congruent?
A.
angle-side-angle
B.
angle-angle-angle
C.
side-side-side
D.
side-angle-side
ANSWER :
B. angle-angle-angle
55.
Two circles of radii 18 cm and 12 cm touch each other externally. Find the length (in cm) of their direct common tangent.
A.
15√6
B.
10√6
C.
12√6
D.
18√6
ANSWER :
C. 12√6
56.
is equal to ____________________
A.
sec2A + tan2A
B.
sec 2A + cosec 2A
C.
cot2A - cosec 2A
D.
sec 2A - cosec 2A
ANSWER :
D. sec 2A - cosec 2A
57.
Kiran lent β‚Ή4,000 to two persons such that one part of it at the rate of 8% per annum and the remaining part at the rate of 10% per annum. He got an annual simple interest of β‚Ή352. Then the sum lent at 10% is:
A.
1800
B.
2200
C.
2400
D.
1600
ANSWER :
D. 1600
58.
X, Y, and Z are three points on a plane with XY = 11 cm, YZ = 13 cm, and XZ = 24 cm. The number of circles that travel through points X, Y, and Z is:
A.
0
B.
2
C.
1
D.
3
ANSWER :
A. 0
59.
The value of 15Γ·3Β ofΒ 2Γ—2+9Γ·18Β ofΒ 2Γ—4βˆ’4Γ·8Γ—2 is:
A.
8
B.
5
C.
2(3/4)
D.
7(3/4)
ANSWER :
B. 5
60.
If, on a marked price, the difference between selling prices with a discount of 65% and with two successive discounts of 30% and 40% is β‚Ή105, then the marked price (in β‚Ή) is:
A.
1650
B.
1050
C.
1500
D.
1320
ANSWER :
C. 1500