Mass Communication and Journalism 2017 Solved Paper

Question : 62 of 150

Marks: +1, -0

At what time between 3 and 4 O’clock will the hands of a clock coincide?

45 min past 3
$15 10/11$ min past 3
$10 12/11$ min past 3
$16 4/11$ min past 3

Solution:

At 3 O’clock both the hands of the clock are 15 min apart. Hence, in order to be together, minute hand will have to gain 15 min spaces in order to coincide with the hour hand.
Now, 55 min are gained by minute hand in 60 min,
∴ 15 min will be gained in

(60/55×15)\min=(12/11×15)\min=180/11\or 16 4/11 \min

Therefore, the hands will coincide at

16 4/11

min past 3

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