SSC CGL 2021-19.04.2022-3 SSC Question Paper

SSC CGL 2021-19.04.2022-3 SSC Questions

71.
If cot²a + tan²a = 2, 0° ≤ a ≤ 90°, then find the value of a.
A.
B.
45°
C.
60°
D.
90°
ANSWER :
B. 45°
72.

Find the value of the following expression:
\(
\frac{
1\tfrac{2}{3} \div \tfrac{5}{6} \times 6 + \tfrac{4}{5} \times \tfrac{1}{2} + \tfrac{2}{3}
}{
2 - \Bigl[\,1\tfrac{1}{3} \times \left(-\tfrac{3}{5}\right) - 6\Bigl(\tfrac{3}{5} - \bigl(3 - \tfrac{3}{10}\bigr)\Bigr)\Bigr]
}
\)

A.

-4/3

B.

4/3

C.

1/7

D.

-1/7

ANSWER :

A. -4/3

73.
In a right-angled triangle, the lengths of the medians from the vertices of acute angles are 7 cm and 4√6 cm. What is the length of the hypotenuse of the triangle (in cm)?
A.
3.5 + 2√6
B.
5/2√29
C.
√29
D.
2√29
ANSWER :
D. 2√29
74.
The length of a wire (in cm) of 0.1 mm radius that can be drawn from melting a solid copper sphere of diameter 6 cm is:
A.
250000
B.
360000
C.
440000
D.
810000
ANSWER :
B. 360000
75.
If a + b + c = 11 and ab + bc + ca = 28, then find the value of a³ + b³ + c³ - 3abc.
A.
1639
B.
407
C.
2255
D.
1093
ANSWER :
B. 407
76.
English Comprehension
Select the most appropriate synonym of the given word.
Arid
A.
Dry
B.
Lively
C.
Damp
D.
Fertile
ANSWER :
A. Dry
77.
Select the INCORRECTLY spelt word.
A.
Annivarsary
B.
Anguish
C.
Anonymous
D.
Announcement
ANSWER :
A. Annivarsary
78.
Select the option that expresses the given sentence in active voice.
I have been informed of their decision.
A.
They are informing me of their decision.
B.
They informed me of their decision.
C.
They had informed me of their decision.
D.
They have informed me of their decision.
ANSWER :
D. They have informed me of their decision.
79.
Identify the segment in the sentence which contains the grammatical error.
Smita lived in this house since she was five years old.
A.
five years old
B.
in this house
C.
since she was
D.
Smita lived
ANSWER :
D. Smita lived
80.
Select the most appropriate synonym of the given word.
Tranquil
A.
Calm
B.
Alert
C.
Aware
D.
Dazed
ANSWER :
A. Calm