Question

Manish ranked sixteenth from top and twenty-ninth from the bottom among those passed an examination. Six boys did not appeared in examination and five failed. How many boys were there in the class ?

• A. $40$
• B. $44$
• C. $50$
• D. $55$

Answer 1

The correct option is D $55$

No. of students who passed the examination $=16+29-1=44$
No. of Boys $=$ No. of students who passed the exam $+$ failed $+$ did not appear the exam
$\Rightarrow$ $44+5+6=55$
Hence, option 'D' is correct.