Question

Match the angle formed between the minute and hour hand of the clock (in a clockwise direction) at a particular reading with the respective angles formed.

Time	Type of Angle
1) 2 PM	a) Right angle
2) 3 PM	b) Obtuse angle
3) 4 PM	c) Reflex angle
4) 8 PM	d) Acute angle

• A. 1 - d, 2 - a, 3 - b, 4 - c
• B. 1 - c, 2 - a, 3 - d, 4 - b
• C. 1 - b, 2 - d, 3 - a, 4 - c
• D. 1 - d, 2 - a, 3 - c, 4 - b

Answer 1

The correct option is A 1 - d, 2 - a, 3 - b, 4 - c

• At 2 p.m., the angles formed by the 2 hands of the clock will be an acute angle, so we can match 1 and d.
• At 3 p.m., the angle formed by the 2 hands of the clock will be a right angle, so we can match 2 and a.
• At 4 p.m., the angle formed by the 2 hands of the clock will be an obtuse angle, so we can match 3 and b.
• And finally, at 8 p.m., the hands go beyond ${180}^{\circ }$ and the angle formed is a reflex angle, so we can match 4 and c.