What is the value of {3/4÷ 9/64+7/11× 121/14-9/13× 65/36}{1/2÷ 4/5+3/4× 16/15}?

Correct Answer is : 1150/1711150/1711150/171

Correct Answer is : 1150/1711150/1711150/171

Test Index

RRB Technician Grade 1 Model Paper 1

Question : 56 of 100

Marks: +1, -0

\frac{\frac{3}{4}\div \frac{9}{64}+\frac{7}{11}\times \frac{121}{14}-\frac{9}{13}\times \frac{65}{36}}{\frac{1}{2}\div \frac{4}{5}+\frac{3}{4}\times \frac{16}{15}}

Solution:

Concept:

Use BODMAS and simplify division and multiplication before addition and subtraction.

Explanation:

Given expression:

\frac{\frac{3}{4}\div \frac{9}{64}+\frac{7}{11}\times \frac{121}{14}-\frac{9}{13}\times \frac{65}{36}}{\frac{1}{2}\div \frac{4}{5}+\frac{3}{4}\times \frac{16}{15}}

Convert division to multiplication:

\frac{3}{4}\div \frac{9}{64}=\frac{3}{4}\times \frac{64}{9}=\frac{16}{3}

Simplify the multiplications:

\frac{7}{11}\times \frac{121}{14}=\frac{11}{2}

and

\frac{9}{13}\times \frac{65}{36}=\frac{5}{4}

Numerator becomes

\frac{16}{3}+\frac{11}{2}-\frac{5}{4}=\frac{64+66-15}{12}=\frac{115}{12}

Denominator:

\frac{1}{2}\div \frac{4}{5}=\frac{1}{2}\times \frac{5}{4}=\frac{5}{8}

and

\frac{3}{4}\times \frac{16}{15}=\frac{4}{5}

So denominator =

\frac{5}{8}+\frac{4}{5}=\frac{25+32}{40}=\frac{57}{40}

Now the value is

\frac{\frac{115}{12}}{\frac{57}{40}}=\frac{115}{12}\times \frac{40}{57}=\frac{1150}{171}

Answer:

The value is

\frac{1150}{171}

, which corresponds to option B.

Go to Question:

Prev Question

Next Question