SSC CGL 2023-20.07.2023-3 SSC Question Paper

SSC CGL 2023-20.07.2023-3 SSC Questions

51.
Quantitative Aptitude
From a point Q, the length of the tangent to a circle is 20 cm and the distance of Q from the centre of the circle is 25 cm. The radius of the circle is:
A.
1.5 cm
B.
10 cm
C.
15 cm
D.
12.5 cm
ANSWER :
C. 15 cm
52.
Solve the following expression.
8 + (- 9 - 3) - (-12 - 5)
A.
14
B.
13
C.
16
D.
15
ANSWER :
B. 13
53.
Supraja and Kausalya can complete a work in 30 days and 20 days, respectively. If Supraja starts the work and they work on alternate days, in how many days will 75% of the work be completed?
A.
28
B.
24
C.
20
D.
18
ANSWER :
D. 18
54.
A and B can do a project in 9 days. B and C can do it in 12 days while C and A can do it in 18 days. In how many days A, B and C all working together, can finish the project?
A.
9
B.
81
C.
11
D.
101
ANSWER :
B. 81
55.
In a circle with centre O, PA and PB are the tangents at A and B, respectively, from an external point P. If ∠APB = 24°, then find ∠AOB.
A.
158°
B.
48°
C.
156°
D.
180°
ANSWER :
C. 156°
56.
A and B working together can finish a piece of work in 8 days while B alone can do 24 days. In how many days can A alone finish the work
A.
10
B.
16
C.
12
D.
14
ANSWER :
C. 12
57.
A person invests 79,840 at 5% per annum simple interest to obtain a total amount of 12,300. For how many years did he invest the sum?
A.
5 years
B.
4.5 years
C.
3.5 years
D.
3 years
ANSWER :
A. 5 years
58.
P gives Q a head-start of 2 seconds in a 400 m race, but both finish the race at the same time. Find the time taken by P to finish the race if the speed of Q is 2 m/sec.
A.
198 seconds
B.
199 seconds
C.
200 seconds
D.
195 seconds
ANSWER :
A. 198 seconds
59.

The price of an article is increased by r%. The new price was decreased by r% later. Now the latest price is Rs.1. What was the original price of the article?

A.

\(
\frac{10000}{10000-r^{2}}
\)

B.

\(
\frac{10000-r^{2}}{10000}
\)

C.

\(
\frac{100}{100-r^{2}}
\)

D.

\(
\frac{100}{1-r^{2}}
\)

ANSWER :

A. \(
\frac{10000}{10000-r^{2}}
\)

60.

Study the bar graph and answer the questions.
A company provides 5 different products. The sales of these 5 products (in 1000s) during 2019 are shown in the bar graph.
What is the approximate ratio of sales of product A to product E in 2019?

A.

1:2

B.

1:3

C.

2:3

D.

2:1

ANSWER :

A. 1:2