Logical Reasoning

Clocks & Calendar

Medium

A clock is set right at 10 am. If the clock gains 8 minutes uniformly in 24 hours, then what time will it show at 7 pm on the same day?

7:02 pm

7:03 pm

7:04 pm

7:05 pm

✅ Correct Option: 2

The clock is set correctly at 10 am. The real time that passes from 10 am to 7 pm is 9 hours.

The clock gains 8 minutes in 24 hours.

The minutes gained in 9 hours:

$\text{Minutes gained} = \dfrac{8}{24} \times 9$

$= \dfrac{1}{3} \times 9$

$= 3 \text{ minutes}$

When the real time is 7:00 pm, the faulty clock has run 3 minutes extra.

The clock will show:

$7:00 \text{ pm} + 3 \text{ minutes} = 7:03 \text{ pm}$

Therefore, the clock will show 7:03 pm.

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Solution

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