It is between 3 pm and 4 pm and the distance between the hour hand and the minute hand of clock is 18 minutes spaces. What time does the clock show ?
A. 3 : 12 pm
B. 3 : 27 pm
C. 3 : 31 pm
D. 3 : 36 pm
Answer: Option D
Solution(By Examveda Team)
At 3 o'clock, the minute hand is 15 minute spaces behind the hour hand.Thus, the minute hand has to gain (15 + 18) = 33 minute spaces
55 minutes are gained in 60 minutes.
33 minutes are gained in $$\left( {\frac{{60}}{{55}} \times 33} \right)$$ = 36 minutes
∴ The hands will be 18 minutes spaces apart at 3 : 36 pm.
Related Questions on Clock
The reflex angle between the hands of a clock at 10.25 is:
A. 180º
B. $${\text{192}}{\frac{1}{2}^ \circ }$$
C. 195º
D. $${\text{197}}{\frac{1}{2}^ \circ }$$
A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:
A. 145º
B. 150º
C. 155º
D. 160º
A. $$59\frac{7}{{12}}$$ min. past 3
B. 4 p.m.
C. $$58\frac{7}{{11}}$$ min. past 3
D. $$2\frac{3}{{11}}$$ min. past 4
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