NIMCET 2018 Question Paper with solutions

Question : 70 of 120

Marks: +1, -0

At what time, in minutes, between 3 O’ clock and 4 O’ dock, both the needles will coincide each other?

5 $1/{11}$
12 $4/{11}$
13 $4/{11}$
16 $4/{11}$

Solution:

At 3 O' clock both the hands of the clock are 15 min space apart.
To coincide, the minute hand must gain 15 min over the hour hand.
Now, 55 min are gained in 60 min.
∴ 15 min would be gained in

{60}/{55}

× 15 = 16

4/{11}

Hence, the needles will coincide after 16

4/{11}

min

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