Symbiosis National Aptitude Test SNAP 2016 Paper

Question : 74 of 150

Marks: +1, -0

A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:

$59 7/{12}$ min. past 3
4 p.m.
$58 7/{11}$ min. past 3
$2 3/{11}$ min. past 4

Validate

Solution:

Time from 7 a.m. to 4.15 p.m. = 9 hrs 15 min. =

{37}/4

hrs.
3 min. 5 sec. of this clock = 3 min. of the correct clock.
⇒

{37}/{720}

hrs of this clock =

1/{20}

hrs. of the correct clock.
⇒

{37}/4

hrs of this clock =

(1/2×{720}/{27}×{37}/4)

hrs of the correct clock.
= 9 hrs. of the correct clock.
∴ The correct time is 9 hrs. after 7 a.m. i.e., 4 p.m.

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