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Clock Works - Google Interview Question

How many degrees are there in the angle between the hour and minute hands of a clock when the time is a quarter past three?

The most common guess is 0°, but the actual answer is 7.5°.

At 3:15, the minute hand sits at the 3, but the hour hand is 1/4 of the way between 3 and 4. If the clock has 360° divided by 12 hours = 30°/hour. And 1/4 of 30°

= 7.5°



Great puzzle to ask young kids!



Karthik Naidu

If its quarter past 3 then minute hand is pointing at 3 but hour hand has slightly moved forward .hour hand grazes 30 degrees for every 1 hr(60 min) . so hour hand moves 7.5 degree for every 15 min.hence angle between hour and minute hand is 7.5 - 0=7.5 degrees.


7.5 degree


7.5 degrees


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over 5 years ago
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