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4.Probability of a girl child
Alice is known to have two children, one of which is a girl. What is the probability that her other child is also a girl? [And answer is not 0.5]
Tag : Probability


5.Number Game 1
Alice and Bob play the following game. They choose a number N to play with. The rules are as follows :
1) Alice plays first, and the two players alternate.
2) In his/her turn, a player can subtract from N any proper divisor (not equal to N) of N. The number thus obtained is the new N.
3) The person who cannot make a move in his/her turn loses the game.
Assuming both play optimally, who wins the game ?
Tag : Elementary Maths

4.Board Problem
We have a 8 by 8 board with diagonal tiles removed as shown in the figure. Is is possible to fully cover this board with 2 by 1 tiles(shown in figure) such that no tile is overlapping or crossing the boundary of the board(darker region)?



Tag : Logic


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