Hard Puzzle
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Given a chess board of N * N, we have to put only rooks on chess board we wants to place some rooks on the chessboard in such a way that the following conditions are satisfied:
- Each square of the board contains at most one rook.
- There are no four rooks forming a rectangle.
- Formally, there should not be any four valid integers r1,c1, r2, c2 (r1≠r2,c1≠c2) such that there are rooks on squares (r1,c1), (r1,c2), (r2,c1) and (r2,c2)
- The number of rooks is at least 8N
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Rearrange all the letters in each of the sentences to form, in each case, a well known proverb.
1. I don’t admit women are faint.
2. It rocks. The broad flag of the free.
3. Strong lion’s share almost gone.
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What an eight letter word can have a letter taken away which still makes a meaningful word. Take another letter away and it still makes a meaningful word. Keep on doing that until you have one letter left. What is the word ?
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Three sisters are identical triplets. The oldest by minutes is Aliza, and Aliza always tells anyone the truth. The next oldest is Benedicta, and Benedicta always will tell anyone a lie. Cerena is the youngest of the three. She sometimes lies and sometimes tells the truth.
John, an old friend of the family’s, came over one day and as usual he didn’t know who was who, so he asked each of them one question.
John asked the sister that was sitting on the left, “Which sister is in the middle of you three?” and the answer he received was, “Oh, that’s Aliza.”
John then asked the sister in the middle, “What is your name?” The response given was, “I’m Cerena.”
John turned to the sister on the right, then asked, “Who is that in the middle?” The sister then replied, “She is Benedicta.”
This confused John; he had asked the same question three times and received three different answers.
Who was who?
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This old one runs forever but never moves at all. He has not lungs nor throat, but still has a mighty roaring call who is he?
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