Microsoft Interview Puzzles

We all know that the hour hand and the minute hand on a clock travel at different speeds. However there are certain occasions when the hands are exactly opposite each other. Can you give a simple formula for calculating the times of these occasions?
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While visiting a small town in the United States, I lost my overcoat in a bus. When I reported the matter to the bus company I was asked the number of the bus. Though I did not remember the exact number I did remember that the bus number bad a certain peculiarity about it. The number plate showed the bus number as a perfect square and also if the plate was turned upside down.? the number would still be a perfect square—of course it was not?
I came to know from the bus company they had only five hundred buses numbered from 1 to S00.
From this I was able to deduce the bus number. Can you tell what was the other numberView SolutionSubmit Solution 1,247.7K views
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All the nine digits are arranged here so as to form four square numbers:
9, 81, 324, 576
How would you put them together so as to form a single smallest possible square number and a single largest possible square number?View SolutionSubmit Solution 1,243.2K views
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A friend of mine runs a bicycle shop and he narrated to me this following story:
A man, who looked like a tourist, came to his shop one day and bought a bicycle from him for Rs. 350. The cost price of the bicycle was Rs. 300. So my friend was happy that he had made a profit of Rs. 50 on the sale. However, at the time of settling the bill, the tourist offered to pay in travellers cheques as he had no cash money with him. My friend hesitated. He had no arrangements with the banks to encash travellers cheques. But he remembered that the shopkeeper next door had such a provision, and so he took the cheques to his friend next door and got cash from him.
The travellers cheques were ^11 made out for Rs. 100 each and so he had taken four cheques from the tourist totalling to Rs. 400! On encashing them my friend paid back the tourist the balance of Rs. 50.
The tourist happily climbed the bicycle and pedalled away whistling a tune.
However, the next morning my friend’s neighbour, who had taken the travellers cheques to the bank, called on him and returning the cheques which had proved valueless demanded the refund of his money. My friend quietly refunded the money to his neighbour and tried to trace the tourist who had given him the bad cheques and taken away his bicycle. But the tourist could not be found.
How much did my friend lose altogether in this unfortunate transaction?View SolutionSubmit Solution 1,244.2K views
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4, 6, 12, 18, 30, 42, 60, 72, 102, 108, ?, ?, ?
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You can place weights on both side of weighing balance and you need to measure all weights between 1 and 1000. For example if you have weights 1 and 3,now you can measure 1,3 and 4 like earlier case, and also you can measure 2,by placing 3 on one side and 1 on the side which contain the substance to be weighed. So question again is how many minimum weights and of what denominations you need to measure all weights from 1kg to 1000kg.
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Outside a room there are three light switches. One of switch is connected to a light bulb inside the room.
Each of the three switches can be either ‘ON’ or ‘OFF’.You are allowed to set each switch the way you want it and then enter the room(note: you can enter the room only once)
Your task is to then determine which switch controls the bulb ??
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On my way to St. Ives I saw a man with 7 wives. Each wife had 7 sacks. Each sack had 7 cats. Each cat had 7 kittens. Kitten, cats, sacks, wives. How many were going to St. Ives?
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Two old friends, Jack and Bill, meet after a long time.
Jack: Hey, how are you man?
Bill: Not bad, got married and I have three kids now.
Jack: That’s awesome. How old are they?
Bill: The product of their ages is 72 and the sum of their ages is the same as your birth date.
Jack: Cool… But I still don’t know.
Bill: My eldest kid just started taking piano lessons.
Jack: Oh now I get it.How old are Bill’s kids?
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Two identical trains, at the equator start travelling round the world in opposite directions. They start together, run at the same speed and are on different tracks.
Which train will wear out its wheel treads first?View SolutionSubmit Solution 1,246.2K views
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