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.?
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.?
Solution
✅ Correct Option: 3
The hands form a right angle 22 times in 12 hours, not 2 times every hour, because near 3 o'clock and 9 o'clock two positions merge.
From 1 p.m. to 10 p.m. is 9 hours. In this stretch the 3 o'clock and 9 o'clock overlap regions each cost one occurrence, so instead of we get .
Related questions:
2026: 12 May Shift 2
2022: 8 Aug Shift 1
2023: 28 May Shift 1
2023: 5 June Shift 2
2026: 29 May Shift 2