Clock - Quantitative Aptitude (MCQ) questions for Q. 102

Q.  What is the angle between the hour and minute hand at 3:40?
- Published on 15 Jun 15

a. 135
b. 130
c. 120
d. 125

ANSWER: 130
 
When minute hand is behind the hour hand, the angle between the minute hand and hour hand at M minutes past H hours is given by:

=> 30 * (H-M/5) + M/2

When minute hand is ahead of hour hand, the formula becomes:

=> 30* (M/5-H) – M/2

Applying the second formula as here the minutes hand is ahead of the hour hand.

=> 30* (40/5-3) – 40/2

=> 30* (8-3) – 20

=> 30*5 – 20

=> 150-20

=> 130

Thus the angle formed is 130 degrees.

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