SSC CGL 2024-25.09.2024-1 SSC Question Paper

SSC CGL 2024-25.09.2024-1 SSC Questions

51.

Quantitative Aptitude
The salaries of P and Q together amount to ₹9,60,000. P and Q save 64% and 44%, respectively of their individual salaries. If P’s expenditure is 1.5 times Q’s expenditure, then what is the ratio of P’s salary to Q’s salary?

A.

2:3

B.

7:3

C.

3:7

D.

3:2

ANSWER :

B. 7:3

52.

\(\,9 \div \left[ 1 + \left\{ 4 \times \left( \dfrac{5}{6} - \overline{\dfrac{1}{3} + \dfrac{1}{2}} \right) \right\} \right]\,\)  is equal to:

A.

1

B.

\(\dfrac{9}{5}\)

C.

0

D.

9

ANSWER :

D. 9

53.

Evaluate \(\,2 \times \dfrac{\tan 54^\circ}{\cot 36^\circ} - \dfrac{\cot 41^\circ}{\tan 49^\circ}\,\)

A.

-1

B.

1

C.

0

D.

2

ANSWER :

B. 1

54.
It is always possible to draw a circle passing through ______ non-collinear points in a plane.
A.
3
B.
6
C.
5
D.
4
ANSWER :
A. 3
55.
Rohini buys a Bluetooth headphone set for ₹1,700 from a wholesale shop and marks it at ₹2,000. Later on, she allows a discount of 40% on its sale. What is her loss or gain percentage (correct up to two decimal places)?
A.
25.19% loss
B.
29.41% gain
C.
29.41% loss
D.
25.19% gain
ANSWER :
C. 29.41% loss
56.
The average of the squares of the first 48 natural numbers is
A.
793.17
B.
791.17
C.
794.17
D.
792.17
ANSWER :
D. 792.17
57.

An inlet pipe can fill a water storage tank in 11 hours and an outlet pipe can empty the completely filled tank in 15 hours. If both pipes opened simultaneously. The time taken to fill the empty tank (in hrs) is :

A.

\(45 \dfrac{1}{2}\)

B.

\(41 \dfrac{1}{4}\)

C.

\(49 \dfrac{3}{4}\)

D.

40

ANSWER :

B. \(41 \dfrac{1}{4}\)

58.

If \(a^3 + \dfrac{1}{a^3} = 2 \, (a > 0)\), then the value of \(a + \dfrac{1}{a}\) is ?

A.

1

B.

3

C.

2

D.

4

ANSWER :

C. 2

59.

Study the given table and answer the question that follows.
The given table shows production of three types of cars (A,B and C) manufactured (in thousands) by an automobile company over the years.

Swipe →
Year A B C
2015 840 680 890
2016 900 750 960
2017 760 620 1000
2018 800 540 1200

The total number of A-type cars produced by the company from 2015 to 2017 is what percentage (rounded off to the nearest integer) is more or less than the total number of C type cars produced by the company from 2016 to 2018? 

A.

More, 24%

B.

Less, 24%

C.

Less, 21%

D.

More, 21%

ANSWER :

C. Less, 21%

60.

If x2 + 7x + 8 = 0, then find the value of \(\dfrac{4x}{x^{2} - 5x + 8}\)

A.

\(\dfrac{1}{2}\)

B.

\(-\dfrac{1}{4}\)

C.

\(-\dfrac{1}{3}\)

D.

\(\dfrac{1}{6}\)

ANSWER :

C. \(-\dfrac{1}{3}\)