Maths Magic

Replace all '*' with digits 1, 2, 3, 4, 5 and 6 to make below statement true.

* *
x *
=====
* * *




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You are playing as white and given four rooks to checkmate the black king in four moves with the following rules 1. You can place one rook every move and ensure the black king should be in check position.2. After four moves the black king should be in the checkmate position.

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From a pack of 52 cards, I placed 4 cards on the table.

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Three people enter a room and have a green or blue hat placed on their heads. They cannot see their own hat but can see the other hats.
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How much did the widow receive?

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In an Art Gallary, When the clock hit 11 am, Artist hung the painting number 30. When it struck 4 pm, he hung painting number 240 and when it struck 7:30 pm, he hung painting number 315.

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