MTS 21 25-07-2022 Shift 3


Question 1

57of112×14-12×18+54×815-2312÷14+12=?

57of112×14-12×18+54×815-2312÷14+12=?


Options

A

B

C

D


Solution:

Correct Answer:

A


\begin{align}
\frac{\left[\left(\frac{5}{7} \text{of} \frac{1}{12}\times\frac{1}{4}-\frac{1}{2}\times\frac{1}{8}\right)+\frac{5}{4}\times\frac{8}{15}-\frac{2}{3}\right]}{\frac{1}{2}\div\frac{1}{4}+\frac{1}{2}} \\
\frac{\left[\left(\frac{5}{84} \times\frac{1}{4}-\frac{1}{16}\right)+\frac{2}{3}-\frac{2}{3}\right]}{{2}+\frac{1}{2}} \\
\frac{\frac{1}{16} \times\left(\frac{5}{21}-1\right)}{\frac{5}{2}} \\
{\frac{1}{40} \times\left(-\frac{16}{21}\right)} \\
-\frac{2}{105}
\end{align}

\begin{align}
\frac{\left[\left(\frac{5}{7} \text{of} \frac{1}{12}\times\frac{1}{4}-\frac{1}{2}\times\frac{1}{8}\right)+\frac{5}{4}\times\frac{8}{15}-\frac{2}{3}\right]}{\frac{1}{2}\div\frac{1}{4}+\frac{1}{2}} \\
\frac{\left[\left(\frac{5}{84} \times\frac{1}{4}-\frac{1}{16}\right)+\frac{2}{3}-\frac{2}{3}\right]}{{2}+\frac{1}{2}} \\
\frac{\frac{1}{16} \times\left(\frac{5}{21}-1\right)}{\frac{5}{2}} \\
{\frac{1}{40} \times\left(-\frac{16}{21}\right)} \\
-\frac{2}{105}
\end{align}

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