Algebra SSC CGL Questions

SSC CGL-Quantitative Aptitude
Algebra

Algebra MCQ Questions


1.

If (x + 6y) = 8 and xy = 2, where x > 0, what is the value of (x3 + 216y3)?
SSC CGL 2021-11.04.2022-1

A.

288

B.

224

C.

368

D.

476

😑 View Answer Error
ANSWER :

B. 224

2.

If x + y + 3 = 0, find x3 + y3 - 9xy + 9.
SSC CGL 2021-11.04.2022-1

A.

-18

B.

-36

C.

18

D.

36

😑 View Answer Error
ANSWER :
A. -18
3.

Simplify the following expression:

\[ \frac{(a^{2}-4b^{2})^{3}+64(b^{2}-4c^{2})^{3}+(16c^{2}-a^{2})^{3}} {(a-2b)^{3}+(2b-4c)^{3}+(4c-a)^{3}} \]

SSC CGL 2021-11.04.2022-2
A.

-(a + 2b) (b + 2c) (4c + a)

B.

2(a + 2b) (b + 2c) (4c + a)

C.

4(a + 2b) (b + 2c) (4c + a)

D.

(a + 2b) (b + 2c) (4c + a)

😑 View Answer Error
ANSWER :
B. 2(a + 2b) (b + 2c) (4c + a)
4.

If (4x + 2y)3 + (4x − 2y)3 = 16(Ax3 + Bxy2), then what is the value of \( \frac{1}{2}\left(\sqrt{A^{2} + B^{2}}\right) \) ?
SSC CGL 2021-11.04.2022-2

A.

3

B.

5

C.

8

D.

7

😑 View Answer Error
ANSWER :
B. 5
5.

If x = 4 + √15, what is the value of \( \left(x^{2} + \frac{1}{x^{2}}\right) \)
SSC CGL 2021-11.04.2022-3

A.

48

B.

54

C.

72

D.

62

😑 View Answer Error
ANSWER :
D. 62
6.

If x + y + z = 11, xy + yz + zx = -6, and x3 + y3 + z3 = 1604, then the value of xyz is:
SSC CGL 2021-12.04.2022-1

A.

25

B.

4

C.

1

D.

5

😑 View Answer Error
ANSWER :
A. 25
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