a2zinterviews

16.	At what time between 2 and 3 o'clock will the hands of a clock be together?
	A.  10x10/11
	B.   10x11/10
	C.   11x10/11
	D.   12x10/11

Solution

At 2 o'clock, the hour is at 2 and the minute hand is at 12,i.e. they are 10 min. Spaces apart. To bo together, the minute hand must gain 10 minutes over the hour hand. Now,55 minutes will be gained in 60 min. 10 minutes spaces will be gained in (60/55 x10) min. = 10x10/11 min. The hands will coincide at 10x10/11 min.past 2.

17.	How much does a watch lose per day, if its hands coincide ever 64 minutes?
	A.  32x8/11 min
	B.  36x8/11 min
	C.  90 min
	D.  96 min

Solution

55 min. spaces are covered in 60 min. 60 min. spaces are covered in (60/55 x 60) min = 65x5/11 min. Loss in 64 min.(65x5/11 - 64). = 16/11 Loss in 24 hrs(16/11x1/64x24x60)min = 32x8/11.