Algebra SSC MTS Questions

Algebra

Algebra MCQ Questions

1.

Find the fourth proportional to (a + b)2 × (a3 − b3), (a3 + b3), (a2 − b2).
SSC MTS 2023-01.09.2023-2

A.

\(\frac{a^{2}-ab+b^{2}}{a+b}\)

B.

\(\frac{a^{2}+ab+b^{2}}{a-b}\)

C.

\(\frac{a^{2}-ab+b^{2}}{a^{2}+ab+b^{2}}\)

D.

\(\frac{a^{2}+ab+b^{2}}{a^{2}-b^{2}}\)

ANSWER :

C. \(\frac{a^{2}-ab+b^{2}}{a^{2}+ab+b^{2}}\)

2.
If (x - 2) is a factor of (2x² + 12kx - 25k), then what is the value of k?
SSC MTS 2023-01.09.2023-2
A.
2
B.
8
C.
4
D.
6
ANSWER :
B. 8
3.

The mean proportional of \((3 + 2\sqrt{2})^2 \text{ and } (3 - 2\sqrt{2})^2\) is:
SSC MTS 2023-04.09.2023-1

A.

\(3 + 2\sqrt{2}\)

B.

5

C.

\(2\sqrt{2}\)

D.

1

ANSWER :

D. 1

4.
What is the mean proportional of 9.61 and 3.61?
SSC MTS 2023-01.09.2023-1
A.
3.17
B.
5.89
C.
4.87
D.
6.78
ANSWER :
B. 5.89
5.
Find the mean proportional between 0.08 and 0.32.
SSC MTS 2023-04.09.2023-3
A.
16
B.
0.016
C.
0.16
D.
1.6
ANSWER :
C. 0.16
6.

Find the value of x if \(15\tfrac{2}{3} \times 3\tfrac{1}{6} + 6\tfrac{1}{3} = 11\tfrac{7}{18} + x\)
SSC MTS 2023-05.09.2023-1

A.

\(137\tfrac{4}{9}\)

B.

\(44\tfrac{5}{9}\)

C.

\(29\tfrac{7}{9}\)

D.

\(39\tfrac{5}{9}\)

ANSWER :

B. \(44\tfrac{5}{9}\)