There is a number N
If N is divided by 7 the remainder is 1, it can be shown as mod operator.
What is N?
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You have borrowed money from your friend George. But now, George wants his money back. So you go to your other friend Frank and he writes you a check for the amount you owe George. You make your way to the bank and give the check to the teller. He accidentally mixes up the dollars and cents (for example $20.76 would become $76.20).
That mixup allows you to repay both friends and have $1 left over.
How much did you borrow from each friend?
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You have 12 identical looking coins. Only one coin out of the 12 coins is definitely bad, it can be heavier or lighter, we don’t know at this stage.
You have a ( two ) pan balance and are allowed only three tries. You can use any mix of coins in the tries. You can mark the coins to identify them and to not let them get mixed up.
At the end of the third weighing on the pan balance you have to conclusively identify the bad coin and state if it was heavier or lighter than the rest of the coins. ( It may take you days to solve it, there is only one solution )
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Is it possible that in profit & loss account, net profit increases without any change in the sales and expenditure of a company?
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There is a building with 100 floors (can be any positive integer). You have 2 light bulbs. They are special type of bulbs and you have only 2 of them. The specialty of the bulb is that they don’t break easily when dropped from a height. The idea is to find the minimum floor of the building from which the bulb would break. You need to suggest a solution which will take the least number of iterations (for the worst case scenario) to find the minimum floor from which the bulb breaks. Remember that the answer should be mathematically proven to give the minimum iterations. Also note that once you throw a bulb and it doesn’t break, you can automatically recall the bulb without going down the building to fetch it.
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If the probability of observing a car in 30 minutes on a highway is 0.95, what is the probability of observing a car in 10 minutes (assuming constant default probability)?
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How many golf balls can fit in a school bus?
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You are at a party with a friend and 10 people are present including you and the friend. your friend makes you a wager that for every person you find that has the same birthday as you, you get $1; for every person he finds that does not have the same birthday as you, he gets $2. would you accept the wager?
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In a country in which people only want boys, every family continues to have children until they have a boy. if they have a girl, they have another child. if they have a boy, they stop. what is the proportion of boys to girls in the country?
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You are shrunk to the height of a nickel and your mass is proportionally reduced so as to maintain your original density. You are then thrown into an empty glass blender. The blades will start moving in 60 seconds. What do you do?
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