Algebra SSC CHSL Questions

SSC CHSL-Quantitative Aptitude

Algebra MCQ Questions


7.
If a + b + c = 7 and a3 + b3 + c3 - 3abc = 301, then ab + bc + ca = ?
SSC CHSL 2021-04.08.2021-3
A.
-4
B.
-2
C.
3
D.
2
😑 View Answer Rough Work Error
ANSWER :
D. 2
8.
If x + y + z = 13, x2 + y2 + z2 = 91 and xz = y2 ,then the difference between z and x is:
SSC CHSL 2021-05.08.2021-1
A.
3
B.
8
C.
5
D.
9
😑 View Answer Rough Work Error
ANSWER :
B. 8
9.
If x + 2y = 19 and x3 + 8y3 = 361, then xy is equal to:
SSC CHSL 2021-09.08.2021-1
A.
57
B.
56
C.
55
D.
58
😑 View Answer Rough Work Error
ANSWER :
A. 57
10.

For what value of θ (in degrees) is the following equation true?
\(\sin 30^\circ \cos \theta - \cos 30^\circ \sin \theta = \frac{1}{2}, \ 0 < \theta < \frac{\pi}{2}\)

SSC CHSL 2021-09.08.2021-3
A.
45
B.
30
C.
60
D.
15
😑 View Answer Rough Work Error
ANSWER :
D. 15
11.
In a circle, two chords UV and WX intersect each other at a point Z within the circle. If UV = 18 cm, ZV = 6 cm and WZ = 9 cm, then the length of ZX is:
SSC CHSL 2021-09.08.2021-3
A.
6 cm
B.
8 cm
C.
4 cm
D.
10 cm
😑 View Answer Rough Work Error
ANSWER :
B. 8 cm
12.
If a + 5b = 25 and ab = 20, then one of the values of (a - 5b) is:
SSC CHSL 2021-11.08.2021-3
A.
15
B.
14
C.
16
D.
13
😑 View Answer Rough Work Error
ANSWER :
A. 15