type 1 angle between the hands of clock Practice Questions Answers Test with Solutions & More Shortcuts

Question : 16

In an accurate clock, in a period of 2 hours 20 minutes the minute hand will move over

a) 140°

b) 320°

c) 520°

d) 840°

Answer: (d)

Angle traced by the minute hand in 2 hrs 20 min,

i.e., 140 min = $(360/60 × 140)^o= 840°$

Question : 17

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°

Answer: (c)

Angle traced by the hour hand in 12 hrs = 360°

Angle traced by the hour hand in 5 hrs 10 min, i.e., $31/6 hrs = (360/12 × 31/6)^o = 155°$ 

Question : 18 [E.S.I.C., 2006]

Through what angle does the minute hand of a clock turn in 5 minutes?

a) 30°

b) 32°

c) 35°

d) 36°

Answer: (a)

Angle traced by the minute hand in 5 minutes = $(360/60 × 5)^o = 30°$

Question : 19 [Hotel Management, 2004]

At 3:40, the hour hand and the minute hand of a clock from an angle of

a) 120°

b) 125°

c) 130°

d) 135°

Answer: (c)

Angle traced by hour hand in 12 hrs = 360°

Angle traced by it in 11/3 hrs = $(360/12 × 11/3)° = 110°$

Angle traced by minute hand in 60 min = 360°

Angle traced by it in 40 min = $(360/60 × 40)^o$ = 240°

∴ Required angle = $(240 - 110)^o$ = 130°

Question : 20

The reflex angle between the hands of a clock at 10.25 is

a) 180°

b) $\text"192"1°/2$

c) 195°

d) $\text"197"1°/2$

Answer: (d)

Angle traced by hour hand in$ 125/12 hrs = (360/12 × 125/12)^o = 312 1°/2$

Angle traced by minute hand in 25 min = $(360/60 × 25)^o = 150°$

∴ Reflex angle = $360° - (312 1/2 - 150)^o = 360° - 162 1°/2 = 197  1°/2$

IMPORTANT verbal reasoning EXERCISES

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