Where will the hand of a clock stop if it
(a) starts at 12 and makes 1/2 of a revolution, clockwise?
(b) starts at 2 and makes 1/2 of a revolution, clockwise?
(c) starts at 5 and makes 1/4 of a revolution, clockwise?
(d) starts at 5 and makes 3/4 of a revolution, clockwise?

Solution:

We will be using the concepts of Revolution and Clockwise Rotation to solve this.

(a) When the clock hand starts from 12 and makes ½ of a revolution, the clock hand stops at 6.

1 revolution = 12 hours

1/2 revolution = 6 hours 

Hence, the clock will land at 6.

(b) When the clock hand starts from 2 and makes ½ of a revolution, the clock hand stops at 8

1 revolution = 12 hours

1/2 revolution = 6 hours 

Hence, the clock will land at 2 + 6 = 8.

(c) When the clock hand starts from 5 and makes 1/4 of a revolution, the clock hand stops at 8

1 revolution = 12 hours

1/4 revolution = 3 hours 

Hence, the clock will land at (5 + 3) = 8.

(d) When the clock hand starts from 5 and makes 3/4 of a revolution, the clock hand stops at 2.

1 revolution = 12 hours

3/4 revolution = 9 hours 

Hence, the clock will land at (5 + 7) = 12 and 2 hours added to 12 is 2.

NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.2 Question 2

Where will the hand of a clock stop if it (a) starts at 12 and makes 1/2 of a revolution, clockwise? (b) starts at 2 and makes 1/2 of a revolution, clockwise? (c) starts at 5 and makes 1/4 of a revolution, clockwise? (d) starts at 5 and makes 3/4 of a revolution, clockwise?

Summary:

(a) The clock hand stops at 6 if it starts at 12 and makes 1/2 of a revolution clockwise. (b) The clock hand stops at 8 if it starts at 2 and makes 1/2 of a revolution clockwise. (c) The clock hand stops at 8 if it starts at 5 and makes 1/4 of a revolution clockwise. (d) The clock hand stops at 2 if it starts at 5 and makes 3/4 of a revolution clockwise.

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