<p> The value of \[ \left[ 35.7 - \left( 3 + \frac{1}{3 + \frac{1}{3}} \right) - \left( 2 + \frac{1}{2 + \frac{1}{2}} \right) \right] \] is: </p>

Practice MCQ for SSC, UPSC, RRB Exams

A. 30 A. 30

B. 34.8 B. 34.8

C. 36.6 C. 36.6

D. 41.4 D. 41.4

Correct Answer: A সঠিক উত্তর: A

Explanation ব্যাখ্যা

First evaluate:

\[ 3 + \frac{1}{3 + \frac{1}{3}} \]

Compute inner part:

\[ 3 + \frac{1}{3} = \frac{10}{3} \] \[ \frac{1}{\frac{10}{3}} = \frac{3}{10} \] \[ 3 + \frac{3}{10} = \frac{33}{10} = 3.3 \]

Now evaluate:

\[ 2 + \frac{1}{2 + \frac{1}{2}} \] \[ 2 + \frac{1}{2} = \frac{5}{2} \] \[ \frac{1}{\frac{5}{2}} = \frac{2}{5} \] \[ 2 + \frac{2}{5} = \frac{12}{5} = 2.4 \]

Now substitute:

\[ 35.7 - 3.3 - 2.4 \] \[ = 35.7 - 5.7 \] \[ = 30 \]

Hence, the correct answer is 30.

প্রথমে নির্ণয় করি:

\[ 3 + \frac{1}{3 + \frac{1}{3}} \]

ভিতরের অংশ:

\[ 3 + \frac{1}{3} = \frac{10}{3} \] \[ \frac{1}{\frac{10}{3}} = \frac{3}{10} \] \[ 3 + \frac{3}{10} = \frac{33}{10} = 3.3 \]

এখন নির্ণয় করি:

\[ 2 + \frac{1}{2 + \frac{1}{2}} \] \[ 2 + \frac{1}{2} = \frac{5}{2} \] \[ \frac{1}{\frac{5}{2}} = \frac{2}{5} \] \[ 2 + \frac{2}{5} = \frac{12}{5} = 2.4 \]

এখন মান বসাই:

\[ 35.7 - 3.3 - 2.4 \] \[ = 35.7 - 5.7 \] \[ = 30 \]

অতএব সঠিক উত্তর 30।

Practice MCQ for SSC, UPSC, RRB Exams

Correct Answer: A সঠিক উত্তর: A

Explanation ব্যাখ্যা

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