On the shelf you have 10 identical bottles of identical
pills (let?s say there?s a hundred pills in each bottle).
However, one of those 10 bottles contains cheap knockoff
pills. The only way to differentiate fake pills from real
pills is the weight - while real pills weigh 1 g each, the
knockoff pills are only 0.9 g. You have one scale that
shows the exact weight (down to the mg) of whatever is
weighed.
How can you tell which bottle contains fake pills with just
1 weighing?
The secret agent X emailed a code word to his head office.
They are "AIM DUE OAT TIE MOD". But four of these five words
are fake and only one contains the information.
The agent X also mailed a sentence as a clue - if I tell you
any one character of the code word, you would be able to
tell the number of vowels in the code word.
Can you tell which is the code word?
A man went into a fast food restaurant and ate a meal
costing Rs. 105, giving the accountant a Rs. 500 note. He
kept the change, came back a few minutes later and had some
food packed for his girl friend. He gave the accountant a
Rs. 100 note and received Rs. 20 in change. Later the bank
told the accountant that both the Rs. 500 and the Rs. 100
notes were counterfeit.
How much money did the restaurant lose? Ignore the profit of
the food restaurant.