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Maths Puzzle
Logical Reasoning
There are 1000 wine bottles. One of the bottles contains poisoned wine. A rat dies after one hour of drinking the poisoned wine. How many minimum rats are needed to figure out which bottle contains poison in hour.
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In a 140L of a mixture of milk and water percentage of water is only 30%. This milkman gave 20L of this mixture to a customer. Then, the added equal quantities of pure milk and water to the remaining mixture. As a result, the respective ratio of milk and water in the mixture become 2: 1. What was the quantity of milk added?
(a) 12L
(b) 16L
(c) 18L
(d) 8L
Mrs Goodsworthy has 6 gorgeous hats. 3 are green, 2 are blue, and 1 is canary yellow.
Four of her friends, Janet, Collette, Melanie, and Judith have come for tea and are trying on her hats. Mrs. Goodsworthy helps each friend put on a hat and has them stand in a line as shown below.
None of the ladies can see what color hat she is wearing.
Janet can see the colors of the hats Collette, Melanie, and Judith are wearing.
Collette can see the colors of the hats Melanie and Judith are wearing.
Melanie can see the color of the hat that Judith is wearing.
Judith cannot see the color of any of the hats.
Mrs. Goodsworthy asks her friends what color hat each of them is wearing, and Janet says she can't tell. Collette says she isn't able to tell either, and Melanie says she can't tell.
Judith, on the other hand, is able to announce the color of her hat. How was Judith able to figure out the color of her hat, and what was the color?