Simplification SSC GD Questions

Simplification MCQ Questions

1.
If 3 of 5 ÷ 2 + \(\frac{3x}{1+\frac{12}{2+\frac{2x}{1-x}}}\) = 12 \( \frac{1}{2} \), what is the value of x?
SSC GD 2021-30.11.2021-1
A.
\(\frac{35}{33}\)
B.
\(\frac{25}{13}\)
C.
\(\frac{34}{33}\)
D.
\(\frac{15}{11}\)
ANSWER :
A. \(\frac{35}{33}\)
2.
Simplify: \(2-\left[\frac{1}{2}+\frac{1}{4}+\frac{1}{6}\div\left(\frac{3}{4}-\frac{1}{2}\right)\right]=\frac{7}{12}\)
SSC GD 2021-30.11.2021-1
A.
\(\frac{7}{12}\)
B.
\(\frac{1}{12}\)
C.
\(\frac{17}{12}\)
D.
\(\frac{11}{12}\)
ANSWER :
A. \(\frac{7}{12}\)
3.
If 2 of 8 ÷ 33\( \frac{4}{5} \) ÷ x − 4\( \frac{7}{9} \) = 6\( \frac{8}{9} \), what is the value of x?
SSC GD 2021-30.11.2021-2
A.
\(\frac{2}{3}\)
B.
\(\frac{3}{5}\)
C.
\(\frac{5}{9}\)
D.
\(\frac{6}{7}\)
ANSWER :
B. \(\frac{3}{5}\)
4.
The value of: \(\frac{3}{5}\div 4\frac{4}{5}\) of \(\frac{5}{16}+\frac{2}{3}\div\frac{8}{15}\times1\frac{1}{5}-\frac{1}{4}\times\frac{3}{4}\div1\frac{1}{4}\) of \( \frac{1}{5} \) is:
SSC GD 2021-30.11.2021-2
A.
\(\frac{61}{40}\)
B.
\(\frac{12}{5}\)
C.
\(\frac{9}{4}\)
D.
\(\frac{21}{10}\)
ANSWER :
A. \(\frac{61}{40}\)
5.
Simplify the expression
4 + 12 รท 4 โˆ’ 2 ร— 3 + 1
SSC GD 2021-02.12.2021-1
A.
23
B.
2
C.
-1
D.
31
ANSWER :
B. 2
6.
The value of \(\frac{5+8^2\left(30\div5\right)}{48}-\frac{14}{7}\) is :
SSC GD 2021-02.12.2021-1
A.
11
B.
10
C.
12
D.
21
ANSWER :
A. 11