When a clock shows the time as 20 minutes to 4, what is the measure of the angle formed between its hour and minute hands?
(a) 1300
(b) 1400
(c) 1450
(d) 1350

Question

When a clock shows the time as 20 minutes to 4, what is the measure of the angle formed between its hour and minute hands?
(a) 1300
(b) 1400
(c) 1450
(d) 1350

ONLiNE UPSC · Accepted Answer

Minute hand angle from 12:
40 minutes &times; 60 = 2400
Hour hand angle from 12:
(3 &times; 30) + (40/60 &times; 30) = 90 + 20 = 1100
Angle between the hands:
|240∘ &minus; 110∘| = 130∘

Hence, option a is correct.

Clocks

Angle between hour and minute hands

Website Link

Test Your Knowledge

Student Resources


M Question 1	⏱ 0
When a clock shows the time as 20 minutes to 4, what is the measure of the angle formed between its hour and minute hands? (a) 1300 (b) 1400 (c) 1450 (d) 1350