type 2 position of hands of the clock Practice Questions Answers Test with Solutions & More Shortcuts

Answer: (b)

The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours (Because between 5 and 7 they point in opposite directions at 6 O' clock only).

So, in a day, the hands point in the opposite directions 22 times.

Answer: (b)

Number of rotations = $72/12$ = 6

Answer: (d)

At 3 O' clock, the minute hand is 15 min. Spaces apart from the hour hand. To be coincident, it must gain 15 min. spaces. 55 min. are gained in 60 min. 15 min. are gained in (60/55 × 15)min. = 16 4/11 min.

Therefore, the hands are coincident at 16 4/11 min. past 3.

Answer: (c)

Number of rounds completed by the minute hand in 3 days 5 hrs

= (3 × 24 + 5) = 77.

Number of rounds completed by the hour hand in 3 days 5 hrs

= $(3 × 2 + 5/12) = 6 5/12$

Therefore, Difference between the distance traversed = $[77 × (2 × 22/7 × 10) - 6 5/12 × (2 × 22/7 × 7)]$ cm

= (4840 - 282.33) cm = 4557.67 cm.

Answer: (b)

55 min. spaces are covered in $(60/55 × 60)$ min. = 65 $5/11$ min.

Loss in 64 min. = $(65 5/11 - 64)$ = $16/11$ min.

loss in 24 hrs = $(16/11 × 1/64 × 24 × 60)$ min. = 32 $8/11$ min.