type 2 position of hands of the clock Detailed Explanation And More Example

Answer: (a)

Answer: (c)

At 4 O' clock, hour hand is at 4 and minute hand is at 12.

To be together with hour hand minute hand will have to gain 20 min. As 55 min are gained by minute hand in 60 min.

Therefore, 20 min will be gained in $(60/55 × 20)$ min = $(60 × 4/11)$ min = $240 / 11$ min

= 21 $9/11$ min Hence, the hands will be together at 21 $9/11$ min past 4.

Answer: (b)

The hands of a clock are in the same straight line (but opposite in direction) 11 times in every 12 h, because between 5 and 7 they point in opposite direction at 6 O' clock only.

Therefore, in a day (24 h) the hands points in the opposite direction (2 × 11) = 22 times.