Algebra SSC CGL Questions

Algebra

Algebra MCQ Questions

7.

If a2 + b2 + c2 = 6.25 and (ab + bc + ca) = 0.52, what is the value of (a + b + c), if (a + b + c) < 0?
SSC CGL 2021-11.04.2022-3

A.

±2.7

B.

-2.7

C.

-2.8

D.

±2.8

ANSWER :
B. -2.7
8.

If \(\dfrac{x}{x^2 - 2x + 1} = \dfrac{1}{3}\), then the value of \(x^3 + \dfrac{1}{x^3}\) is?
SSC CGL 2024-26.9.2024-3

A.

110

B.

130

C.

160

D.

180

ANSWER :
A. 110
9.

Simplify \(\dfrac{4x^2 - 49y^2}{2x + 7y} + 7y - 2x\)
SSC CGL 2024-26.9.2024-3

A.

4x-14y

B.

7y

C.

4x

D.

0

ANSWER :
D. 0
10.
Find the value of the unknowns:
x + 1.5y + 2z = 5.5,
x + 5y + 7z = 15,
3x + 11y + 13z = 25
SSC CGL 2024-26.9.2024-3
A.
x = 2, y = -3, z = 4
B.
x = -3, y = 2, z = 4
C.
x = 4, y = -3, z = 2
D.
x = 2, y = 4, z = -3
ANSWER :
A. x = 2, y = -3, z = 4
11.

If 2a − b = 3 and 8a3-b3=999, then find the value of 4a2-b2
SSC CGL 2024-26.9.2024-2

A.

63

B.

65

C.

61

D.

67

ANSWER :
A. 63
12.

If x=\(\sqrt{6}\)+2 and y=\(\sqrt{6}\)-2 then what is the value of \(\left(\dfrac{x}{y} + \dfrac{y}{x}\right)^2 - 3\)?
SSC CGL 2024-26.9.2024-2

A.

42

B.

97

C.

35

D.

22

ANSWER :
B. 97