Quantitative Aptitude :: Clock Problems And Answers

9. At what time between 4 and 5 will the hands of a clock be at right angles?

A. 58(7/11) min past4 B. 20(5/11) min past4 
C. 36(7/11) min past4 D. 38(2/11) min past4
Answer & Explanation

Answer: Option D

Explanation:
When two hands are at right there will be 15 min spaces between them
At 4'o clock the hands are 20 min spaces apart
Then between 4 to 5 the minute hand has to gain (20+15) = 35 min spaces
35 min. spaces are gained in (60/55) × 35 = 420/11
                             = 38(2/11) min
Required time = 38(2/11) min past 4


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