Algebra SSC CHSL Questions

SSC CHSL-Quantitative Aptitude

Algebra MCQ Questions


13.
Pawan travels from X to Y at the speed of 10 km/h, from Y to Z at 15 km/h and from Z to W at 20 km/h. If XY = YZ = ZW (in km), then the average speed of Pawan for the whole journey is:
SSC CHSL 2021-11.08.2021-3
A.
\(13\tfrac{10}{13}\,\text{km/h}\)
B.
\(13\tfrac{11}{13}\,\text{km/h}\)
C.
\(13\tfrac{8}{13}\,\text{km/h}\)
D.
\(13\tfrac{9}{13}\,\text{km/h}\)
😑 View Answer Rough Work Error
ANSWER :
B. \(13\tfrac{11}{13}\,\text{km/h}\)
14.
If \(x + \frac{1}{x} = \sqrt{13}\) , then one of the values of \(x^3 - \frac{1}{x^3}\) is:
SSC CHSL 2021-12.08.2021-3
A.
\(4\sqrt{11}\)
B.
32
C.
\(4\sqrt{13}\)
D.
36
😑 View Answer Rough Work Error
ANSWER :
D. 36
15.
In â–³XYZ, P and Q are the points on sides XY and XZ respectively. PQ is parallel to YZ and PQ:YZ = 3:8. If XY = 88cm, then what is the length of XP ?
SSC CHSL 2022-10.03.2023-1
A.
24cm
B.
21cm
C.
33cm
D.
28cm
😑 View Answer Rough Work Error
ANSWER :
C. 33cm
16.
PM and PN are two tangents of a circle from an external point P. M and N are points on the circle. If PM = y2 - 9 and PN = 55, then what is the value of y ?
SSC CHSL 2022-13.03.2023-4
A.
12
B.
8
C.
64
D.
17
😑 View Answer Rough Work Error
ANSWER :
B. 8
17.
In △XYZ, P is a point on side YZ and XY = XZ. If ∠XPY = 90 degree and YP = 9 cm, then what is the length of YZ?
SSC CHSL 2022-17.03.2023-4
A.
17 cm
B.
18 cm
C.
12 cm
D.
15 cm
😑 View Answer Rough Work Error
ANSWER :
B. 18 cm
18.
The algebraic expression 4x2-y2+6y-9 is equal to….
SSC CHSL 2023-09.08.2023-1
A.
(2x + y - 3)(2x - y + 3)
B.
(2x - y - 3)(2x + y + 3)
C.
(2x + y - 3)²
D.
(2x + y + 3)²
😑 View Answer Rough Work Error
ANSWER :
A. (2x + y - 3)(2x - y + 3)