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Given a square of 10cm each side with the four semi circles inside as shown in the above
diagram, find the area of the shaded portion

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If 5√5 x 5^3 + 5^-3/2 = 5 ^(a + 2), then the value of a is: There were three rooms. Each room has only one door. Any one of the three rooms has cheese. A rat was there and it needs to find the correct room that contains cheese. If rat went into a room and if couldn’t find cheese and once it comes out of the room the rat forgets about that. How many times the rat must enter the rooms to find which room contains cheese?