SSC CGL 2022-02.12.2022-2 SSC Question Paper

SSC CGL 2022-02.12.2022-2 SSC Questions

51.
Quantitative Aptitude
In an election between two candidates, the defeated candidate secured 42% of the valid votes polled and lost the election by 7,68,400 votes. If 82,560 votes were declared invalid and 20% people did NOT cast their vote, then the invalid votes were what percentage (rounded off to 1 decimal place) of the votes which people did NOT cast?
A.
10.6 Percent
B.
9.8 Percent
C.
12.9 Percent
D.
6.8 Percent
ANSWER :
D. 6.8 Percent
52.
If the side of an equilateral triangle is 24 cm, then what is its area?
A.
169√3 cm²
B.
125√3 cm²
C.
256√3 cm²
D.
144√3 cm²
ANSWER :
D. 144√3 cm²
53.

Study the following chart and answer the question that follows.
The chart shows the quantity of substances (P1, P2, P3) in different drugs (A, B, C, D).
Which substance is/are most used in terms of quantity in all drugs?

A.

P1 and P3

B.

P3

C.

P2

D.

P1

ANSWER :

D. P1

54.

Find the weighted arithmetic mean of the first 'n' natural numbers, the weights being the corresponding numbers.

A.

\(\;\frac{n(n+1)(2n+1)}{6}\)

B.

\(\;\frac{n(n+1)}{2}\)

C.

\(\;\frac{2n+1}{3}\)

D.

n

ANSWER :

C. \(\;\frac{2n+1}{3}\)

55.
A district has 10,24,000 inhabitants. If the population increases at the rate 2.5% p.a., find the number of inhabitants at the end of three years
A.
1120736
B.
1102736
C.
1075840
D.
1064850
ANSWER :
B. 1102736
56.
A takes twice as much time as B and thrice as much time as C to finalise a task. Working together, they can complete the task in 8 days. The time (in days) taken by A, B and C, respectively, to complete the task is:
A.
42, 21, 14
B.
60, 30, 20
C.
54, 27, 18
D.
48, 24, 16
ANSWER :
D. 48, 24, 16
57.

Simplify \(\frac{x^{2} + 2x + y^{2}}{x^{3} - 5x^{2}} \) If \(\; x + \frac{y^{2}}{x} = 5 \)

A.

\(\tfrac{5}{y^{2}}\)

B.

\(\tfrac{7}{y^{2}}\)

C.

\(-\tfrac{5}{y^{2}}\)

D.

\(-\tfrac{7}{y^{2}}\)

ANSWER :

D. \(-\tfrac{7}{y^{2}}\)

58.
If the diameter of a hemisphere is 28 cm, then what is the volume of hemisphere?
A.
5749.33 cm³
B.
6349.22 cm³
C.
6728.11 cm³
D.
5124.44 cm³
ANSWER :
A. 5749.33 cm³
59.
If a + b = 5 and ab = 6, then find 3(a² + b²).
A.
39
B.
48
C.
26
D.
13
ANSWER :
A. 39
60.
In ΔABC, AB = AC, O is a point on BC such that BO = CO and OD is perpendicular to AB and OE is perpendicular to AC. If ∠ BOD = 60°, then measure of ∠ AOE is:
A.
120°
B.
60°
C.
30°
D.
90°
ANSWER :
C. 30°