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6.	How many times are the hands of a clock at right angle in a day?
	A.  22
	B.  24
	C.  44
	D.  48

Solution

In 12 hours, they are at right angles 22 times. Therefore, In 24 hours, they are at right angles 44 times.

7.	A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When was it correct?
	A.  2 p.m. on Tuesday
	B.  2 p.m. on Wednesday
	C.  3 p.m. on Thursday
	D.  1 p.m. on Friday

Solution

Time from 12 p.m. on Monday to 2 p.m. on the following Monday = 7 days 2 hours. =170 hours. The watch gains = (2 + 4 x4/5)min = 34 / 5 min.in 170 hrs. Now,34/5 min are gained in 170 hrs. 2 min are gained in(170x 5/34 x2)hrs. Watch is correct 2 days 2 hrs. after 12 p.m. on Monday i.e., it will be correct at 2 p.m.on Wednesday.

8.	At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles will coincide each other?
	A.  5 1/11 °
	B.   12 4/11 °
	C.  13 4/11°
	D.  16 4/11°

Solution

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 x 15)min =16x4/11 The hands are coincident at 16x4/11 min past3.

9.	Find the angle between the hour and the minute hand of a clock when the time is 3.25.
	A.  47 ½
	B.  49 ½
	C.  55 ½
	D.  57 ½

Solution

Angle traced by the hour hand in 12 hours = 360°. Angle traced by it in 3 hrs 25 min = 41 / 12 hrs = (360 / 12 x 41 / 12)° = 102 ½°. Angle traced by minute hand in 60 min = 360°. Angle traced by it in 25 min. = (360/ 60 x 25)° = 150° Required angle = (150- 102 ½°) = 47 ½°.

10.	How many times in a day, the hands of a clock are straight?
	A.  22
	B.  24
	C.  44
	D.  48

Solution

In 12 hours, the hands coincide or are in opposite direction 22 times. Therefore, In 24 hours, the hands coincide or are in opposite direction 44 times a day.