Simplification and Number System SSC MTS Questions

Simplification and Number System MCQ Questions

13.
Simplify the following expression.
( 5 × 5 + 5 − 5 × 5 + 5 − 5 × 5 ) + ( 5 × 5 ) ÷ 5 ( 2 + 3 )
SSC MTS 2021-28.10.2024-2
A.
25
B.
10
C.
20
D.
5
ANSWER :
B. 10
14.
Simplify the following expression.
\(25 - (4 \div 2) + 11.5 + 9.5\)
SSC MTS 2022-05.07.2022-1
A.
46
B.
47
C.
44
D.
45
ANSWER :
C. 44
15.
What is the value of \(\tfrac{3}{7}\,\text{of}\,\tfrac{5}{11} + \tfrac{8}{7} \div \tfrac{24}{21} - \tfrac{11}{56} \times \tfrac{18}{33}\)
SSC MTS 2022-05.07.2022-2
A.
\(\tfrac{118}{311}\)
B.
\(\tfrac{335}{308}\)
C.
\(\tfrac{308}{325}\)
D.
\(\tfrac{175}{316}\)
ANSWER :
B. \(\tfrac{335}{308}\)
16.
If P = \(\frac{6 \times 4 \div 2}{8 \times 3 \div 6}\) and \(Q = \frac{12 \div 4 - 2}{4 \div 3 \times 12}\), then what is the value of \(\left(\frac{P}{Q}\right)^2\)
SSC MTS 2022-05.07.2022-2
A.
1024
B.
2304
C.
4604
D.
4096
ANSWER :
B. 2304
17.
What is the value of \(\frac{0.6 \div 0.6 \times 0.6 + 0.5 \times 0.5 \div 0.5}{0.6 \times 0.5 \div 0.3}\) ?
SSC MTS 2022-05.07.2022-3
A.
\(\tfrac{10}{7}\)
B.
\(\tfrac{11}{6}\)
C.
\(\tfrac{7}{3}\)
D.
\(\tfrac{13}{6}\)
ANSWER :
B. \(\tfrac{11}{6}\)
18.
What is the value of
\(\left[\left(\frac{3}{7}\text{ of }\frac{5}{12}-\frac12\right)+\frac{11}{12}-\frac12\times\frac45+\frac65\times\frac{25}{18}\right]?\)

SSC MTS 2022-05.07.2022-3
A.
\(\frac{156}{257}\)
B.
\(\frac{391}{210}\)
C.
\(\frac{395}{282}\)
D.
\(\frac{392}{515}\)
ANSWER :
B. \(\frac{391}{210}\)