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Three of these statements are false, so who did it?
Mr Red: “Mr Blue did it.”
Mr Blue: “Mr Red did it.”
Mr Green: “Mr Blue’s telling the truth.”
Mr Yellow: “Mr Green’s not lying.”
Find who did it!
What were the statements by suspects?
If Mr. Yellow is telling the truth then Mr. Green and hence Mr. Blue all are telling the truth. This is against the given data.
This hold true if we assume that Mr. Green is telling the truth or Mr. Blue telling the truth. In all cases, 3 statements would be true.
Hence, only statement of Mr.Red is true and that's why Mr. Blue did it!
The Mongolian Postal Service has a strict rule stating that items sent through the post must not be more than 1 meter long. Longer items must be sent by private carriers, and they are notorious for their expense, inefficiency, and high rate of loss of goods.
Boris was desperate to send his valuable and ancient flute safely through the post. Unfortunately, it was 1.4 meters long and could not be disassembled as it was one long hollow piece of ebony. Eventually he hit on a way to send it through the Mongolian Postal Service.
What did Boris do?
That's what needed for safe delivery!
What was the problem in delivery?
Boris keeps the flute diagonally in a square shaped suitcase whose side measuring 1m.
Since side is 1 m the diagonal of such suitcase must be square root of 2 i.e. 1.414 m. So the 1 m long flute can easily fit diagonally in such suitcase.
Twenty men, women and children earn twenty coins between them. Each man earns 3 coins, each woman 1.5 coins and each child 0.5 coin.
How many men, women and children are there?
Find number of each of them here!
What was the question?
Let's suppose there are m men, w women and c children.
As per given data,
m + w + c = 20 ......(1)
3m + 1.5w + 0.5c = 20 .....(2)
Multiply equation (1) by 3 and then subtracting from (2), we get,
5m + 2w = 20.
For m and w to be whole numbers, m must be 2 and w must be 5 satisfying above equation.
Hence, from (1),
c = 20 - 2 - 5 = 13.
To conclude, there are 2 men, 5 women and 13 children.
A large fresh water reservoir has two types of drainage system: small pipes and large pipes.
6 large pipes, on their own, can drain the reservoir in 12 hours.
3 large pipes and 9 small pipes, at the same time, can drain the reservoir in 8 hours.
How long will 5 small pipes, on their own, take to drain the reservoir?
Find here the exact time required!
