How many times do the hour hand and the minute hand of a clock lie one over the other between 2 p.m. and 9 p.m. on the same day?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 7
The hands come together once in every hour except between 11 and 12, where the meeting happens exactly at 12. So count the hour-gaps from 2 to 9, checking that no meeting falls at 2 p.m. or 9 p.m. themselves.
At 2 p.m. and at 9 p.m. the hands are apart (60° and 90°), so the end times add no meeting
One meeting in each of the hours 2–3, 3–4, 4–5, 5–6, 6–7, 7–8 and 8–9
Number of times \(=7\)