a2zinterviews

1.	An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
	A.   144°
	B.   150°
	C.   168°
	D.   180°

Solution

Angle traced by hour hand in 5 hrs 10 min. = (360/12 x 6)° = 180°.

2.	A clock is set at 5 a.m. The clock loses 16 minutes in 24 hours. What will be the true time when the clock indicates 10 p.m. on 4th day?
	A.  9 p.m
	B.  10 p.m
	C.  11 p.m
	D.  12 p.m

Solution

Time from 5 a.m on a day to 10 p.m.on 4th day = 89 hours. Now 23 hrs 44 min. of this clock = 24 hours of correct clock. Therefore 356 / 15 hrs of this clock = 24 hours of correct clock. 89 hrs of this clock = (24 x 15/356 x 89) hrs = 90 hrs So, the correct time is 11 p.m.

3.	A clock is started at noon. By 10 minutes past 5, the hour hand has turned through
	A.   145°
	B.   150°
	C.  155°
	D.  160°

Solution

Angle traced by hour hand in 12 hrs =360° Angle traced by hour hand in 5 hrs 10 min = 31 / 6 hrs =[360 / 12 x 31 / 6] = 155°.

4.	The reflex angle between the hands of a clock at 10.25 is
	A.  180°
	B.  192 ½°
	C.  195°
	D.  197 ½°

Solution

Angle traced by hour hand in 125 / 12 hrs. =[360/12 x 125/12]° = 312½°. Angle traced by minute hand in 25 min. = [360/60 x 25]° =150°. Reflex angle = 360 - (312½ -150)° =360° - 162 ½° = 197½°.

5.	How many times in a day, are the hands of a clock in straight line but opposite in direction?
	A.  20
	B.  22
	C.  24
	D.  48

Solution

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'clcok only). So, in a day, the hands point in the opposite directions 22 times.