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c. 90
d. 150
Solution. From 1 : 40 pm to 5 p.m the time covered is 3 hours and 20 minutes.

In 60 minutes, hours­hand covers 30° hence in 20 minute it will cover,

In 3 hours, hour­hand will cover 3 × 30 = 90 degree

Hence in total, hour­hand will cover 90 + 5 = 100° degrees
Answer. a

5. What is the angle between the two hands of a clock, when the clock shows 3 hours 25 minutes?

a. 45. 5°
b. 46°
c. 46.5°
d. 47.5°

Solution. At 3 hour and 25 minute

If we take 12 o’clock as point of reference

Minute­hand has covered

Hour­hand has covered

Hence difference in angle

Answer. d

6. The angle between the minute hand and the hour hand of a clock when the time is 4:20, is

a. 0°

b. 5°
c. 10°
d. 20°
Solution. Angled covered by hour hand in