Algebra SSC MTS Questions

SSC MTS-Numerical and Mathematical Ability

Algebra MCQ Questions


1.
Find the fourth proportional to (a + b)2× (a3 - b³), (a3 + b3), (a² - b²).
SSC MTS 2021-01.09.2023-2
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.
\(\frac{a^{2}+ab+b^{2}}{a^{2}-b^{2}}\)
😑 View Answer Rough Work Error
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 2021-01.09.2023-2
A.
2
B.
8
C.
4
D.
6
😑 View Answer Rough Work Error
ANSWER :
B. 8
3.
The mean proportion of \((3 + 2\sqrt{2})^2 \text{ and } (3 - 2\sqrt{2})^2\) is:
SSC MTS 2021-04.09.2023-1
A.
\(3 + 2\sqrt{2}\)
B.
5
C.
\(2\sqrt{2}\)
D.
1
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ANSWER :
D. 1
4.
What is the mean proportional of 9.61 and 3.61?
SSC MTS 2021-01.09.2023-1
A.
3.17
B.
5.89
C.
4.87
D.
6.78
😑 View Answer Rough Work Error
ANSWER :
B. 5.89
5.
Find the mean proportional between 0.08 and 0.32
SSC MTS 2021-04.09.2023-3
A.
16
B.
0.016
C.
0.16
D.
1.6
😑 View Answer Rough Work Error
ANSWER :
C. 0.16
6.
Find the calue of x if \(15\tfrac{2}{3} \times 3\tfrac{1}{6} + 6\tfrac{1}{3} = 11\tfrac{7}{18} + x\)
SSC MTS 2021-05.09.2023-1
A.
\(137\tfrac{4}{9}\)
B.
\(44\tfrac{5}{9}\)
C.
\(29\tfrac{7}{9}\)
D.
\(39\tfrac{5}{9}\)
😑 View Answer Rough Work Error
ANSWER :
B. \(44\tfrac{5}{9}\)