Question

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

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

Answer 1

Answer: (D)

$55$

Number of boys who passed $=16+29-1=44$
$\therefore$ Total number of boys in the class $=$ Number of boys who passed $+$ Number of boys who failed $+$ Number of boys who didn't appear $=44+6+5=55$