Mechanical Engineering > Gate 2022 Set-1 > Quants
In a 12-hour clock that runs correctly, how many times do the second, minute, and hour hands of the clock coincide, in a 12-hour duration from 3 PM in a day to 3 AM the next day?
Correct : a
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Solution of β2π = 0 in a square domain (0 < π₯ < 1 and 0 < π¦ < 1) with boundary conditions:
π(π₯, 0) = π₯; π(0, π¦) = π¦; π(π₯, 1) = 1 + π₯; π(1, π¦) = 1 + π¦
is
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