[HELP]

1. Can you find a number which added to itself one or several times will give a total having the same digits as that number but differently arranged and after the sixth addition will give a total of all nines?

2. 'May I have a large container of coffee?'This is a mnemonic. Can you tell what it signifies?

3.The value of Pi to seven places of decimals re contained in this mnemonic. The number of letters in each word corresponds to the succes-sive integers in the decimal expansion of Pi.

4.How much is a googol?

5.The distance between Bangalore to Mysore is about 60 miles. Two trains leave at 10 in the morning. One train leaves Bangalore at 40 mph and the other from Mysore at 50 mph. When they meet are they nearer to Bangalore or Mysore? 6.Why Front Wheels Wear Out? Perhaps you have noticed the wheels of some carts-the front ones are smaller than the rear ones.
Why do the front axles wear out faster than t-he rear?

7.In the 20th Century there are only seven years whose numbers are a mathematical oddity because their numbers signify a prime number. The first one of its kind was the year 1951. Can you name the other six?

8. Two Pumpkins I was shopping for vegetables at the New Market. I saw two pumpkins of the same quality but of different sizes. One was bigger than the other. The bigger one was 60 cm in circumference and the other 50 cm. I asked the vendor the price. The bigger one was on
and a half times more expensive. Which one do you think would have been a better buy


9 Recently I was at a music concert in Calcutta. I was sitting only one hundred feet away from the musicians.The performance was being broadcasted. My sister Vasantha who lives in Bangalore also heard the same concert on -the radio. I am sure you know that Bangalore is over a thousand miles away from< ="text/"> Calcutta, and also that sound travels at 1100 feet per second.
Do you think there was any difference in the times at which the music was heard by Vasantha and myself? If so which one of us did hear the given note first?

10. Mammu has 16 pairs of white socks and 16 pairs of brown socks. She keeps them all in the same drawer. If she picks out three socks at random what is the probability she will get a matching pair?


Answers

1. 37142857

2. We have a 100 m piece of ribbon.If it takes one second to cut it into a 1 m strip how
long would it take to cut the entire ribbon into metre strips?

3.One minute and thirtynine seconds, because when the ninetyninth cut is made, the
remaining metre does not have to be cut


4.
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The googol is: 10,000,000,000,000,000,000,000,000,000,000,000,000,000,
000,000,000,000,000,000,000,000,000,000,000, 000,000,000,000,000,000,000,000,000


5.The train leaving Mysore travels faster, and naturally they meet and cross one another nearer to Bangalore.The meeting place is 40/90 of 60 or 26-2/3 miles from Ban~alore and 50/90 of 60 or 33-1/3 miles from Mysore, and this happens at 10-40 A. M
.
6.This is a typical example of a problem with geometrical basis, disguised by extraneous
details. It is impossible to solve this problem without geometry. The question is why does the front axle wear out faster than the rear. We know from Geometry that the cricle with a smaller circumference has to make more revolutions than the bigger circle to cover the same
distance. And, naturally, the wheel turns more often, and quicker the front axle wears out.

7. 1987, 1993, 1997, 1999

8. Circumferences are to one another as their diameters. If the circumference of one pump-
kin in 60 centimetres and of the other 50 centimetres, then the ratio between their diameters is:
60 : 50 = 6/5 and the ratio between their sizes is: (6/5)3 = 216/125 = 1.73
The bigger pumpkin, if it were priced according to its size or weight should cost 1.73 times-or 73 per cent more than the small one. Yet the vendor has priced it only 50 per cent more. Therefore, it is clear, that the bigger pumpkin is a better bargain.




9.YeS. Vasantha did. The person listening to the radio hears the given note first


10. P = 1. She is certain to get a pair
Edited by: HELP