Clock - Quantitative Aptitude (MCQ) questions

1)   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  Explanation 

ANSWER: 130

Explanation:
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.


2)   How many times do the hands of the clock coincide in a day?
- Published on 19 Oct 15

a. 22
b. 24
c. 20
d. 21
Answer  Explanation 

ANSWER: 22

Explanation:
Every hour the hour hand and minute hand coincide once.

=> Every 12 hours hands should coincide 12 times

But in 11 to 1 the clock hands coincide once only at 12

Hence, in every 12 hours hands coincide 11 times.

Therefore, In 24 hours clock hands coincide 11 x 2 = 22 times.


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