Algebra SSC CGL Questions

SSC CGL-Quantitative Aptitude

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
😑 View Answer Rough Work Error
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
😑 View Answer Rough Work Error
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
😑 View Answer Rough Work Error
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
😑 View Answer Rough Work Error
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
😑 View Answer Rough Work Error
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
😑 View Answer Rough Work Error
ANSWER :
B. 97