Math Homework Help

2=3 the secret proof

July 8th, 2006 . by Vanaja

It is possible with a little trickery to prove that 2=3 by using algebra.

Let x=y=5

15x=15y and

10x=10y

15x-10x=15y-10y

15x-15y=10x-10y (by transposition)

15(x-y) =10(x-y)

ie,15=10

ie 2=3

Did you get the trick? Otherwise just give an email. I’ll send you the trick behind this.

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There are two doors. Behind one is safety; behind the other is certain death. There are two guardians of the doors; one is known to always tell the truth. Other always lies. You have only one question to ask to find out which door is safe to go through.

What question do you ask?

Answer:

Would the other guard say that this is the safe way to go?

(answer will be same for both the guardians. If the answer is “yes” go the other way; if the answer is “no” go the same way.)

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A Snail Problem

July 3rd, 2006 . by Vanaja

A snail climbs up at the rate of 2 feet per hour throughout the day and falls down half the distance in the night. How much time will it take to reach the top of a pillar 60 feet height?

Answer:

5 days. (day time 12 hours. So it climbs 2. 12=24 feets. But in the night falls down by 12 feets. So total distance covers in a day is 12 fetes. So number of days required is 60 by 12=5days.

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