SSC CGL 2022-05.12.2022-3 SSC Question Paper

SSC CGL 2022-05.12.2022-3 SSC Questions

51.

Quantitative Aptitude
Simplify the following.
\[
\begin{aligned}
25^3 - 75^3 + 50^3
\end{aligned}
\]

A.

-281250

B.

281350

C.

271250

D.

-281450

ANSWER :

A. -281250

52.
Find the greatest 5-digit number which is divisible by 11, 33, 99 and 121.
A.
90099
B.
99990
C.
99099
D.
90909
ANSWER :
C. 99099
53.
If tan A = 2/3, then what is the value of the following?
(5 sinยฒA - 2 cosยฒA) รท (15 sinยฒA + 3 cosยฒA)
A.
21/47
B.
2/87
C.
2/5
D.
3/77
ANSWER :
B. 2/87
54.

The given graph shows data of production of pulses (in lakh tonnes) by 3 different countries X,Y,Z over the years. Study the bar graph and answer the question that follows.
For which country is the average production (in lakh tonnes) for five years the maximum?

A.

X

B.

Z

C.

Y

D.

Y and Z both

ANSWER :

B. Z

55.
The fourth proportion to 12, 24 and 27 is the same as the third proportion to A and 36. What is the value of A?
A.
22
B.
24
C.
26
D.
20
ANSWER :
B. 24
56.

If θ is an acute angle and tanθ + cotθ = 2, then the value of tan²θ + cot²θ + 2 tan5θ cot4θ is:

A.

3

B.

4

C.

1

D.

2

ANSWER :

B. 4

57.
A shopkeeper offers three types of discount schemes for buyers. Which of them has the maximum discount percentage?
I. Two successive discounts of 10% each.
II. Successive discounts of 15% and 5%.
III. 20% discount
A.
Only discount scheme I
B.
Only discount scheme II
C.
Only discount scheme III
D.
All provide equal discount
ANSWER :
C. Only discount scheme III
58.
The lengths (in cm) of three sides of a triangle are, respectively, 48, 55 and 73. What is the length (in cm) of the median joining the mid-point of the longest side to its opposite vertex?
A.
27.5
B.
73
C.
24
D.
36.5
ANSWER :
D. 36.5
59.
What is the smallest number that should be added to 4567 so that the sum is divisible by 7?
A.
7
B.
5
C.
6
D.
4
ANSWER :
D. 4
60.
A businessman cheats by using faulty weights, to the tune of 12% each time, when buying and selling material. What is the rise in his profit percentage using faulty weights only?
A.
22%
B.
25.44%
C.
24%
D.
26.32%
ANSWER :
B. 25.44%