Question 705003

SCQMEDIUM

A rectangular tray of 30 cm×60 cm30 \text{ cm} \times 60 \text{ cm} size is used for baking circular biscuits. The diameter of each biscuit is 3 cm3 \text{ cm} before baking, which increases by 10%10\% on baking. What is the maximum number of biscuits that can be baked in the tray such that the base of each biscuit is in contact with the tray?

(A)

171

(B)

162

(C)

180

(D)

200

Detailed Solution

The diameter after 10%10\% increase is 3+0.1×3=3.3 cm3 + 0.1 \times 3 = 3.3 \text{ cm}. The number of biscuits that can be placed along the 30 cm30 \text{ cm} side is ⌊30/3.3⌋=9\lfloor 30 / 3.3 \rfloor = 9. The number of biscuits along the 60 cm60 \text{ cm} side is ⌊60/3.3⌋=18\lfloor 60 / 3.3 \rfloor = 18. Total biscuits =9×18=162= 9 \times 18 = 162.

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