At what time between 2 o'clock and 3 o'clock, will the

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At what time between 2 o'clock and 3 o'clock, will the hands of a clock point in opposite directions ?

1. 480/11 min past 2
2. 485/11 min past 2
3. 580/11 min past 2
4. 520/11 min past 2
5. None of the above

Correct Option: A

Given that n = 2 and (n + 1) = 3(n < 6)
The hands will be at the same straight line at
⇒ (5n + 30) x 12/11 min past n.
⇒ (5 x 2 + 30 ) x 12/11 min past 2.
⇒ (10 + 30) x 12/11 min past 2.
⇒ 40 x 12/11 min past 2.
⇒ 480/11 min past 2.