Algebra SSC CGL Questions

SSC CGL-Quantitative Aptitude
Algebra

Algebra MCQ Questions


13.
Given a linear equation in two variables: 5x + 7y - 8 = 0, which of the following linear equations, along with the given equation, forms a system of linear equations having no solution?
SSC CGL 2024-26.9.2024-1
A.
5x + 7y - 16 = 0
B.
7x + 5y - 8 = 0
C.
5x - 7y - 8 = 0
D.
10x + 14y - 16 = 0
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ANSWER :
A. 5x + 7y - 16 = 0
14.
A number whose fifth part increased by 5 is equal to its third part decreased by 7. Find half of the number.
SSC CGL 2024-26.9.2024-1
A.
45
B.
150
C.
80
D.
60
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ANSWER :
A. 45
15.
Find the value of 'k' for which the system of equations 4x + 6y = 7 and 6x + (k + 4)y − 21 = 0 has a unique solution.
SSC CGL 2024-25.9.2024-2
A.
k = 5
B.
k ≠ 5
C.
k = 7
D.
k ≠ 7
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ANSWER :
B. k ≠ 5
16.

The relation between K1 and K2 for which the system of linear equations K1x + 3y = 8 and 4x + K2y = 16 represents coincident lines, is:
SSC CGL 2024-25.9.2024-2

A.

K2 = 3K1

B.

K2 + 3K1 = 0

C.

K2 = K1

D.

K1 + K2 = 0

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ANSWER :
A. K2 = 3K1
17.

The value of (x+y)2 + (x-y)2 is equal to?
SSC CGL 2024-25.9.2024-2

A.

2(x+y)2

B.

2(x2+y2)

C.

(2x+2y)2

D.

4xy

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ANSWER :
B. 2(x2+y2)
18.

If x2+1=2x, then the value of (x14+x8+1) is?
SSC CGL 2024-25.9.2024-3

A.

1

B.

0

C.

3

D.

2

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ANSWER :
C. 3
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