SSC CGL 2023-18.07.2023-4 SSC Question Paper

SSC CGL 2023-18.07.2023-4 SSC Questions

51.

Quantitative Aptitude
Simplify the following expression.
[\(\sqrt{25}\) + 12 ÷ 3 - {20 + (16 of 8 ÷ 16) - (54 ÷ 18 of \( \frac{1}{2} \))}]

A.

-13

B.

12

C.

22

D.

1

ANSWER :

A. -13

52.
If a + b + c = 6 and a² + b² + c² = 14, then what is the value of (a - b)² + (b - c)² + (c - a)²?
A.
-8
B.
8
C.
10
D.
6
ANSWER :
D. 6
53.
An amount becomes double in 8 years on simple interest. In how many years would Rs.25,000 become Rs.1,00,000 with the same rate of interest?
A.
32
B.
28
C.
16
D.
24
ANSWER :
D. 24
54.
The marked price on a book is ₹1,000. In a book fair, it is available for sale with a discount scheme offering two successive discounts of 12% and 8%. What is the final selling price (in ₹) of the book for a customer (rounded off to the nearest integer)?
A.
810
B.
790
C.
825
D.
800
ANSWER :
A. 810
55.
A and B invested money in a business in the ratio of 7:5. If 15% of the total profit goes for charity, and A's share in the profit is Rs.5,950, then what is the total profit?
A.
Rs.12,500
B.
Rs.12,000
C.
Rs.10,500
D.
Rs.11,750
ANSWER :
B. Rs.12,000
56.

A shopkeeper purchases six small cold drink bottles for ₹100. For how much should he sell one such bottle to get a profit of 20%?

A.

₹22

B.

₹20

C.

₹21

D.

₹23

ANSWER :

B. ₹20

57.

Find the value of the given expression.
\( \frac{4}{3} \) tan²45° + 3 cos²30° - 2 sec²30° - \( \frac{3}{4} \) cot²60°

A.

 \( \frac{2}{3} \)

B.

 \( \frac{3}{2} \)

C.

\(\dfrac{\sqrt{2}}{3}\)

D.

\(\dfrac{3}{\sqrt{2}}\)

ANSWER :

A.  \( \frac{2}{3} \)

58.
Meenu is 38 years old. Her daughter is 8 years old. In how many years will Meenu be double her daughter's age?
A.
22
B.
25
C.
20
D.
24
ANSWER :
A. 22
59.

Shatabdi Express train covers 700 km in 5 hours and another 1012 km in 11 hours. What is the average speed of the train (in metres/second)?

A.

107

B.

\(385\dfrac{1}{5}\)

C.

\(29\dfrac{13}{18}\)

D.

27

ANSWER :

C. \(29\dfrac{13}{18}\)

60.
In a company, a piece of work can be completed in 4, 6 and 18 days alone by R, S and T, respectively. In how many days will the work be completed if they work together? (Rounded off to 2 decimal places)
A.
3.32
B.
2.12
C.
2.42
D.
3.21
ANSWER :
B. 2.12