Once upon a time,

Once upon a time, and old lady went to sell her vast quantity of eggs at the local market.
When asked how many she had, she replied:
Son, I can’t count past 100 but I know that.

If you divide the number of eggs by 2 there will be one egg left.
If you divide the number of eggs by 3 there will be one egg left.
If you divide the number of eggs by 4 there will be one egg left.
If you divide the number of eggs by 5 there will be one egg left.
If you divide the number of eggs by 6 there will be one egg left.
If you divide the number of eggs by 7 there will be one egg left.
If you divide the number of eggs by 8 there will be one egg left.
If you divide the number of eggs by 9 there will be one egg left.
If you divide the number of eggs by 10 there will be one egg left.
Finally. If you divide the Number of eggs by 11 there will be NO EGGS left!
How many eggs did the old lady have?

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Vacation Time

It was vacation time, and so I decided to visit my cousin’s home. In the mornings, we both would go for a jog. The evenings were spent on the tennis court. Tiring as these activities were, we could manage only one per day, i.e., either we went for a jog or played tennis each day. There were days when we felt lazy and stayed home all day long.

Now, there were 9 mornings when we did nothing, 13 evenings when we stayed at home, and a total of 12 days when we jogged or played tennis. For how many days did I stay at my cousin’s place?

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Up an Escalator

Jimmy takes the underground train to work and uses an escalator at the railway station. If Jimmy runs up 7 steps of the escalator, then it takes him 28.5 seconds to reach the top of the escalator. If he runs up 13 steps of the escalator, then it takes him only 19.5 seconds to reach the top.

How many seconds would it take Jimmy to reach the top if he did not run up any steps of the escalator at all?

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Samir and the Real Estate Agent

Samir purchased a house for Rs. 155965. He wants to sell it for a profit of exactly 15%. However, he does not want to sell it himself. He wants a Real Estate Agent to sell it for him. The Agent must make a commission of exactly 5.6% (in addition to Samir’s 15% profit). How much must the Agent sell the house for? Give your answer to the nearest Rs.?

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Bags of Dollars

Divide $547 (in whole $ increments) into a number of bags so that I can ask for any amount between $1 and $547, and you can give me the proper amount by giving me a certain number of these bags without opening them. What is the minimum number of bags you will require?

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