NIMCET 2011 — Reasoning PYQ

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Question

NIMCET 2011 — Reasoning PYQ

NIMCET | Reasoning | 2011

Directions : Q. Mrs. Thomes received a large order for stitching school uniforms from Mayflower school and Littleflower school. She has two cutters who will cut the fabric, five tailors who will do the stitching and two assistants to stitch the button and button holes. Each of these nine persons will work for exactly 10 hours a day. Each of the Mayflower uniforms requires 20 min. for cutting the fabric, one hour for stitching, and 15 min. for stitching buttons and button holes, whereas the Littleflower uniform requires 30 min., 1 hour and 30 min. respectively for these activities.

If she hires one more assistant, what is the maximum number of Mayflower uniforms that she can complete in a day ?

Choose the correct answer:

Explanation

Solution

Available Resources (Per Day):
- Cutters (2): $2 \times 10 \times 60 = 1200 \text{ min}$
- Tailors (5): $5 \times 10 \times 60 = 3000 \text{ min}$
- Assistants (2 + 1 = 3): $3 \times 10 \times 60 = 1800 \text{ min}$
Requirements for 1 Mayflower Uniform:
- $\text{Cutting} = 20 \text{ min}$
- $\text{Stitching} = 1 \text{ hour} = 60 \text{ min}$
- $\text{Buttons/Holes} = 15 \text{ min}$
Capacity Calculation (Department-wise):
- $\text{Max Uniforms (Cutting)} = \frac{1200}{20} = 60$
- $\text{Max Uniforms (Stitching)} = \frac{3000}{60} = 50$
- $\text{Max Uniforms (Buttons)} = \frac{1800}{15} = 120$

Conclusion:

The maximum number of completed uniforms is determined by the "bottleneck" department (the one with the lowest capacity).

\text{Maximum Mayflower Uniforms} = \min(60, 50, 120) = 50

Correct Option: (b) 50