Wednesday, 19 October 2011

Arithmetic - 1 (clocks) (SNAP-2008)

A clock looses 12 minutes every 24 hours. It is set right at 7:25 p.m. on Monday. What will be the time when the clock shows 1:45 p.m. the following day? 
(A)  1:20:35 p.m       (B)  1:35:50 p.m       (C) 1:25:35 p.m     (D)none of these

Solution follows here:


Given that for 24 hours, it looses 12 minutes. The following table shows step by step calculation of actual times and times lost by the clock:
Note that the lost times are calculated proportionally.

Actual Time
Time shown by Clock
Monday 7:25 p.m
Monday 7:25 p.m
Tuesday 7:25 a.m
Tuesday 7:19 a.m
(for 12 Hrs –looses 6 minutes)
Tuesday 1:25 p.m
Tuesday 1:16 p.m
(for 6 Hrs –looses 3 minutes)
Tuesday 1:45 p.m
Tuesday 1:35:50 p.m
(for 20 minutes –looses 10 seconds)
Answer is (B)

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