type 2 position of hands of the clock Practice Questions Answers Test with Solutions & More Shortcuts

Question : 16

How many times do the hands of a clock coincide in a day?

a) 20

b) 21

c) 22

d) 24

Answer: (c)

The hands of a clock coincide 11 times in every 12 hours (Since between 11 and 1, the coincide only once, i.e. at 12 O' clock).

Question : 17

How many times are the hands of a clock at right angle in a day?

a) 22

b) 24

c) 44

d) 48

Answer: (c)

In 12 hours, they are at right angles 22 times

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

Question : 18 [I.I.F.T., 2005]

How many times in a day, the hands of a clock are straight?

a) 22

b) 24

c) 44

d) 48

Answer: (c)

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.

Question : 19

A clock gains 5 minutes in one hour. Therefore, the angle traversed by the minute hand in 1 hour is

a) 360

b) 390

c) 390.5°

d) None of these

Answer: (b)

Clearly, the minute hand traverses 65 minutes in 1 hour.

Therefore, Required angle = (360/60 × 65). = 390.

Question : 20 [I.A.S., 2009]

How many times are the hour hand and the minute hand of a clock at right angles during their motion from 1.00 p.m. to 10.00 p.m.?

a) 9

b) 10

c) 18

d)

e) 20

Answer: (c)

The duration from 1.00 p.m. to 10.00 p.m. is 9 hours and during each of these 9 hours the hands of a clock are at right angles twice.

So, required number = 9 × 2 = 18.

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