SSC CGL 2021-12.04.2022-3 SSC Question Paper

SSC CGL 2021 Question Papers

SSC CGL 2021-12.04.2022-3 SSC Questions

51.
Quantitative Aptitude
tan² A + 5 sec A = 13, where 0 < A < 90°. Solve for A (in degrees).
A.
0
B.
60
C.
45
D.
30
😑 View Answer Rough Work
ANSWER :
B. 60
52.

In ΔABC, AD is perpendicular to BC and AE is the bisector of ∠BAC. If ∠ABC = 58° and ∠ACB = 34°, then find the measure of ∠DAE.

A.

12°

B.

11°

C.

22°

D.

15°

😑 View Answer Rough Work
ANSWER :

A. 12°

53.
In a circle with centre O, AC and BD are two chords. AC and BD meet at E, when produced. If AB is a diameter and ∠AEB = 36°, then the measure of ∠DOC is
A.
112°
B.
124°
C.
136°
D.
108°
😑 View Answer Rough Work
ANSWER :
D. 108°
54.

If 8k6 + 15k³ - 2 = 0, then what is the positive value of \( \left(k + \frac{1}{k}\right) \)

A.

\(2\dfrac{1}{2}\)

B.

\(2\dfrac{1}{8}\)

C.

\(8\dfrac{1}{2}\)

D.

\(8\dfrac{1}{8}\)

😑 View Answer Rough Work
ANSWER :

A. \(2\dfrac{1}{2}\)

55.

If

\( 2k\,\sin 30^\circ \,\cos 30^\circ \,\cot 60^\circ = \frac{\cot^{2} 30^\circ \,\sec 60^\circ \,\tan 45^\circ} {\mathrm{cosec}^{2} 45^\circ \,\mathrm{cosec}\, 30^\circ} \),

then find the value of k.

A.

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

B.

3

C.

1

D.

6

😑 View Answer Rough Work
ANSWER :

B. 3

56.

A, B and C invested ₹40,000, ₹48,000 and ₹80,000, respectively, for a business at the start of a year. After six months, for the remaining time of the year, A added ₹4,000, B added ₹4,000 while C withdrew ₹4,000 every month. If the total profit is ₹6,72,000, then what is C’s share (in ₹)?

A.

1,96,750

B.

1,80,480

C.

2,11,200

D.

2,80,320

😑 View Answer Rough Work
ANSWER :

D. 2,80,320

57.
The average of 15 numbers is 30, while the average of 13 of these numbers is 32. If the remaining two numbers are equal, then what is each of the two numbers?
A.
34
B.
31
C.
17
D.
16
😑 View Answer Rough Work
ANSWER :
C. 17
58.
A certain sum on simple interest becomes ₹49,600 in 3 years and ₹56,000 in 5 years. If the rate of interest had been 2% more, then in how many years would the sum have doubled?
A.
10
B.
8
C.
12
D.
20
😑 View Answer Rough Work
ANSWER :
A. 10
59.
In a circle, ABCD is a cyclic quadrilateral. AC and BD intersect each other at P. If AB = AC and ∠BAC = 48°, then the measure of ∠ADC is
A.
104°
B.
112°
C.
132°
D.
114°
😑 View Answer Rough Work
ANSWER :
D. 114°
60.
Five men and 2 boys can do in 30 days as much work as 7 men and 10 boys can do in 15 days. How many boys should join 40 men to do the same work in 4 days?
A.
10
B.
15
C.
12
D.
14
😑 View Answer Rough Work
ANSWER :
A. 10