Algebra SSC CHSL Questions

Algebra

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

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

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

ANSWER :

A. 57

10.

For what value of θ (in degrees) is the following equation true?

\(\sin 3\theta \cos \theta - \cos 3\theta \sin \theta = \frac{1}{2}, \ 0 < \theta < \frac{\pi}{2}\)

SSC CHSL 2021-09.08.2021-3
A.

45

B.

30

C.

60

D.

15

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

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
ANSWER :
A. 15