SSC CGL 2021-19.04.2022-2 SSC Question Paper

SSC CGL 2021-19.04.2022-2 SSC Questions

51.
Quantitative Aptitude
The circuasceatre of an equilateral triangle is at a distance of 3.2 em from the base of the triangle. What is the length (in cm) of each of its altitudes?
A.
9.6
B.
7.2
C.
6.4
D.
12.8
ANSWER :
A. 9.6
52.
In ∆ABC, ∠A = 66°, BD ⊥ AC and CE ⊥ AB. BD and CE intersect at P. The bisectors ∠PBC and ∠PCB meet at Q. What is the measure of ∠BQC?
A.
127°
B.
132°
C.
143°
D.
147°
ANSWER :
D. 147°
53.
A circle is inscribed in ∆ABC, touching AB, BC and AC at the points P, Q and R, respectively. If AB - BC = 4 cm, AB - AC = 2 cm and the perimeter of ∆ABC = 32 cm, then BC/2 (in cm) = ?
A.
20/3
B.
13/3
C.
11/3
D.
10/3
ANSWER :
B. 13/3
54.
A is 120% of B and B is 65% of C. If the sum of A, B and C is 121.5, then the value of C - 2B + A is:
A.
14
B.
35
C.
24
D.
39
ANSWER :
C. 24
55.
An article is sold at a profit of 13(1/4)%. Had it been sold for ₹76.70 more, the profit would have been 16(1/5)%. 50% of the cost price of the article (in ₹) is:
A.
1250
B.
2500
C.
1300
D.
1500
ANSWER :
C. 1300
56.
If a2 + b² + 49c² + 18 = 2(b + 28c - a), then the value of (2a - b + 7c) is:
A.
5
B.
-3
C.
-4
D.
1
ANSWER :
D. 1
57.

If x² - 5x - 1 = 0, then what is the value of
\[
\frac{x^6 - x^4 + x^2 - 1}{x^3}
\]

A.

145

B.

140

C.

130

D.

135

ANSWER :

D. 135

58.
Chords AB and CD of a circle intersect externally at P. If AB = 7 cm, CD = 1 cm and PD = 5 cm, then 50% of the length of PA (in cm) is:
A.
5
B.
10
C.
8
D.
3
ANSWER :
A. 5
59.
Find a single discount % equivalent to successive discounts of 10%,20% and 25%
A.
55%
B.
46%
C.
20%
D.
18.3%
ANSWER :
B. 46%
60.
What is the LCM of 3.6, 1.8 and 0.144?
A.
3.6
B.
36
C.
3600
D.
360
ANSWER :
A. 3.6