Clock Hands Together

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How many times in a given day, minutes, and hour clock comes in a straight line?

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    Assuming that “straight Line” refers to the position in which the hands point at opposite directions (as in the 6 O’ clock position):

    Starting from the 12:32 (+30 sec) position, there will be 11 possible positions  (1:38 (approx.), 2:43 (approx.) and so on) before next 12 O’ clock. Repeating the same pattern over the next 12 – Hour period of the day, we will have 22 straight-line positions. 

    Viji_Pinarayi Expert Answered on 30th January 2022.
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