At what angle the hands of a clock are inclined at 15 minutes past 5? Option 1: 72.5 degrees Option 2: 67.5 degrees Option 3: 64 degrees Option 4: 58.5 degrees

Angle between the hour and minute hand = |30H - 11/2M| where H is the hour hand, and M is the minute hand So, H=5 M = 15 Substituting: = |30(5) - 11/2(15)| = |150 - 165/2| = |150 - 82.5| = |67.5| Therefore, the angle between the hands is 67.5°

JIPMAT 2021 (QA) - At what angle the hands of a clock are inclined at 15 minutes past 5? | PYQs + Solutions

JIPMAT 2021

Logical Reasoning

Clocks & Calendar

Conceptual

At what angle the hands of a clock are inclined at 15 minutes past 5?

72.5 degrees

67.5 degrees

64 degrees

58.5 degrees

Correct Option: 2

Angle between the hour and minute hand

= |30H - \frac{11}{2}M|

where

H

is the hour hand, and

M

is the minute hand

So,

\newline

H=5

M = 15

Substituting:

\newline

= |30(5) - \frac{11}{2}(15)|

= |150 - \frac{165}{2}|

= |150 - 82.5|

= |67.5|

Therefore, the angle between the hands is

67.5°

JIPMAT 2021 (QA) PYQs

At what angle the hands of a clock are inclined at 15 minutes past 5?

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