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Q.1 What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from
(a) 3 to 9
(b) 4 to 7
(c) 7 to 10
(d) 12 to 9
(e) 1 to 10
(f) 6 to 3
Answer :

(a) 3 to 9
9 – 3 = 6 hour
In one revolution = 12 hour
No. of revolution = 6 / 12 = 1/2 revolution.
(b) 4 to 7
7 – 4 = 3 hour
In one revolution = 12 hour
No. of revolution = 3 / 12 = 1/4 revolution.
(c) 7 to 10
10 – 7 = 3 hour
In one revolution = 12 hour
No. of revolution = 3 / 12 = 1/4 revolution.
(d) 12 to 9 i.e., 0 to 9
9 – 0 = 9 hour
In one revolution = 12 hour
No. of revolution = 9 / 12 = 3/4 revolution.
(e) 1 to 10
10 – 1 = 9 hour
In one revolution = 12 hour
No. of revolution = 9 / 12 = 3/4 revolution.
(f) 6 to 3 i.e., 6 to 12 and then 12 to 3
6 to 12 = 12 – 6 = 6 hour and 12 to 3 = 0 to 3 = 3 – 0 = 3 hour
6 + 3 = 9 hour
In one revolution = 12 hour
No. of revolution = 9 / 12 = 3/4 revolution.