Puzzles contest - 89

[HELP]

1. I bought a car with a peculiar 5 digit numbered licence plate which

on reversing could still be read. On reversing value is increased
by 78633.Whats the original number if all digits were different?



2. The shape in the sketch below is that of a square attached to half

of a similar square.Divide it into four equal pieces







3. Supposing a clock takes 7 seconds to strike 7. How much long will it take to strike 10?



4. A soldier looses his way in a thick jungle. At random he walks from

his camp but mathematically in an interesting fashion. First he walks
one mile East then half mile to North. Then 1/4 mile to West, then 1/8
mile to South and so on making a loop. Finally how far he is from his
camp and in which direction.



5. Conversation between two mathematcians:

First : I have three childern. The product of their ages is 36.

If you sum their ages, it is exactly same as my neighbour's

door number on my left.

second : mathematician verfies the door number and says that it is

not sufficient. Then the first says " Ok one more clue is that my
youngest is really the youngest". Immmediately the second mathematician

answers .Can you answer the question asked by the first mathematician?

What are the childeren ages?

[iCanSolveIt]

ANS 2

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this is the original diagram and first divide it into 3 equal parts

then again divideeach partin to 8 equal parts

and thus we have total 24 small parts

so each block must contain 6 small parts for dividing the whole box in to 4

thus the final diagram is like that

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Edited by: iCanSolveIt

[karteek]

ANS 1:PUZZLE 89: THE NUMBER ON THE LICENSE PLATE IS


(89601)-(10968)=78633.SINCE THE NUMBERS WHICH CAN BE READ EVEN AFTER REVERSED ARE 1,8,6,9,0.

[karteek]

3)CLOCK TAKES 9*7/6=10.5