IPMAT Rohtak 2019 (LR) - A clock is such that it loses 4 minutes each day. The clock is set right on February 25, 2008 at 2 p.m. How many minutes should be added to get the right time when the clock shows 9 am on 3rd March, 2008? | PYQs + Solutions

IPMAT Rohtak 2019

Logical Reasoning

Clocks & Calendar

Medium

A clock is such that it loses 4 minutes each day. The clock is set right on February 25, 2008 at 2 p.m. How many minutes should be added to get the right time when the clock shows 9 am on 3rd March, 2008?

\frac{9780}{359}

\frac{9340}{357}

\frac{9120}{329}

\frac{8760}{269}

Correct Option: 1

Actual time passed

=(6

days

\times

24

hours

)+19

hours

=163

hours.

Given that the clock loses

4

minute in every single day.

1

day

=24

hours

=24 \times 60=1440

minutes.

1440

minutes, the clock losses

4

minutes.

Therefore, the minute hand moves at a slightly slower pace.

The speed of minute hand can be expressed as

\frac{1436}{1440}

fractional part of one minute.

Actual time elapsed is just the reciprocal of it, i.e

=\frac{1440}{1436}

Thus in the given time of

163

hours,

Actual time elapsed

=163

(hours)

\times

60

(minutes)

\times

\frac{1440}{1436}

(minutes hand)

But due to loss in time, the time elapsed by clock is

=163 \times 60

Difference

=\left(163 \times 60 \times\left(\frac{1440}{1436}\right)\right)-(163 \times 60)

=\frac{14083200}{1436}-9780=\frac{9780}{359}

This difference must be added to get the right time.