A rectangular tray of 30 cm × 60 cm size is used for baking circular biscuits. The diameter of each biscuit is 3 cm before baking, which increases by 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?

Correct option is B

Given:

• Dimensions of the tray: 30 cm × 60 cm.
• Diameter of each biscuit before baking: 3 cm.
• Diameter increases by 10% after baking.
• The biscuits need to fit into the tray without overlapping, with their bases in contact with the tray.

Solution:

1. Calculate the diameter of each biscuit after baking:

   • Increase in diameter = 10% of 3 cm = 0.3 cm.
   • Diameter after baking = 3 cm + 0.3 cm = 3.3 cm.

2. Calculate the number of biscuits that can fit along the length and width of the tray:

   • Along the length (60 cm): Each biscuit occupies a space of 3.3 cm.
     Number of biscuits along the length = Floor of (60 / 3.3) ≈ 18 biscuits.
   • Along the width (30 cm): Each biscuit occupies a space of 3.3 cm.
     Number of biscuits along the width = Floor of (30 / 3.3) ≈ 9 biscuits.

3. Calculate the total number of biscuits that can fit in the tray:

   • Total number of biscuits = Number along the length × Number along the width = 18 × 9 = 162 biscuits.

Conclusion:
The maximum number of biscuits that can fit in the tray is (b) 162.