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Clocks - Quant/Math - CAT 2016

Question 4 the day: October 1, 2003

The CAT Practice question for the day is from the topic Clocks.

Question:
At how many points between 10 O'clock and 11 O'clock are the minute hand and hour hand of a clock at an angle of 30 degrees to each other?
(1) 2
(2) 4
(3) 1
(4) 3
Correct choice (3). Correct Answer - 1

Solution:

Between 10 and 11, the minute hand and hour hand are at an angle of 30o to each at minutes past 10 = minutes past 10. The next time they will be at angle of 30o to each other will be at 11.

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