At what time (approximately) (in AM) between 7 AM and 8 AM will the hour and minute hands of the clock be opposite to each other?
Show answer & explanation
Correct answer: B
Explanation
Angle between the clock hands =
|30h − 5.5m|
For the hands to be opposite:
Angle = 180°
Here:
h = 7
So,
30 × 7 = 210
|210 − 5.5m| = 180
210 − 5.5m = 180
5.5m = 30
m ≈ 5.45 minutes
≈ 7:05
210 − 5.5m = −180
Approximately 7:05 AM
Correct Option: 7:05