Algebra SSC CGL Questions

SSC CGL-Quantitative Aptitude

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 Rough Work 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 Rough Work 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 Rough Work 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 Rough Work 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 Rough Work 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 Rough Work Error
ANSWER :
A. 25