Question

Ramya wanted to arrange 90 sweets (of dimensions $1\times 1$) in a box. She has 5 boxes of dimensions $10\times 9$, $9\times 10$, $5\times 18$, $16\times 5$ and $18\times 5$. Among these boxes, in which box can she NOT arrange all the sweets?

• A. $10\times 9$
• B. $16\times 5$
• C. $18\times 5$
• D. $5\times 18$

Answer 1

The correct option is B

$16\times 5$

The area occupied by one sweet will be $1\times 1=1$ sq units and she has to arrange 90 sweets in the box.

Minimum space needed by Ramya to arrange all the sweets is 90 sq units.

Except for $16\times 5$ the size of all the boxes is 90 sq units.

$16\times 5=80$ sq units so she cannot arrange all the sweets in this box.