At what time, between 3 o’clock and 4 o’clock, both the hour hand and minute hand coincide each other  ? 

A 3:16 7/11

B 3:16 11/4

C 3:30

D 3:16 4/11

Solution

Correct Answer: Option D

Coincide means 00  angle.

This can be calculated using the formulafor time A to B means  [11m/2 - 30 (A)]

Here m gives minutes after A the both hands coincides.

Here A = 3, B = 4

0 =11m/2 –30 × 3
11m = 90 × 2 = 180
m= 180/11 = 16 4/11

So time = 3 : 16 4/11

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