SSC CGL 2024-18.09.2024-2 SSC Question Paper

SSC CGL 2024-18.09.2024-2 SSC Questions

61.
The present ages (in years) of A and B are in the ratio of 3 : 4. Five years back, the ratio of their ages was 2 : 3. What is the present age (in years) of A?
A.
15
B.
28
C.
20
D.
21
ANSWER :
A. 15
62.

Find the area (in cm²) of an equilateral triangle whose sides are 18 cm.

A.

75\(\sqrt{3}\)

B.

81\(\sqrt{3}\)

C.

77\(\sqrt{3}\)

D.

79\(\sqrt{3}\)

ANSWER :

B. 81\(\sqrt{3}\)

63.

Find the remainder, if 19200 is divided by 20.

A.

2

B.

−1

C.

1

D.

3

ANSWER :

C. 1

64.
A total of ₹2,00,000 is divided into two parts for investing in different banks on simple interest. One yields 4% p.a. while the other yields 6% p.a. If the total interest at the end of one year is equivalent to 4.7% p.a. on the whole amount, the amount (in ₹) invested in each bank is ________, respectively.
A.
1,30,000 and 70,000
B.
1,45,000 and 55,000
C.
1,20,000 and 80,000
D.
1,60,000 and 40,000
ANSWER :
A. 1,30,000 and 70,000
65.

Simplify \(\frac{\sin A}{1 + \cos A} + \cot A\), where \(A\) is an acute angle.

A.

sinA

B.

cosA

C.

sinA+cosA

D.

cosec A

ANSWER :

D. cosec A

66.

If tan θ = \(\frac{8}{15}\), and θ is an acute angle, then the value of \(\dfrac{\sqrt{(1-\sin(\theta))}}{\sqrt{(1+\sin(\theta))}}\) is :

A.

\(\frac{2}{5}\)

B.

\(\frac{3}{5}\)

C.

\(\frac{1}{5}\)

D.

\(\frac{4}{5}\)

ANSWER :

B. \(\frac{3}{5}\)

67.

The radius of the base of a right circular cone is 9 cm and its slant height is 49 cm. Find the curved surface area of the cone.

A.

1386cm2

B.

1265cm2

C.

1262cm2

D.

1490cm2

ANSWER :

A. 1386cm2

68.
If arcs PAQ and RBS of a circle are congruent, then find the ratio of PQ and RS.
A.
2:3
B.
1:3
C.
1:1
D.
1:2
ANSWER :
C. 1:1
69.
In an election between two candidates, the one who gets 88% of the votes is elected by a majority of 684 votes. What is the total number of votes polled? (all polled votes are valid)
A.
900
B.
800
C.
850
D.
750
ANSWER :
A. 900
70.

Which of the following fractions is the largest?
\(\frac{2}{3}\),\(\frac{6}{53}\),\(\frac{79}{90}\),\(\frac{33}{44}\)

A.

\(\frac{2}{3}\)

B.

\(\frac{33}{44}\)

C.

\(\frac{6}{53}\)

D.

\(\frac{79}{90}\)

ANSWER :

D. \(\frac{79}{90}\)