Puzzles- contd

[NM]

raj-uncle unga solution en solution-Oda simple athaan en aRivu-kku etta villai

[rajraj]

raj-uncle unga solution en solution-Oda simple athaan en aRivu-kku etta villai

You were on the right track!

81 = (1+8)^2 = (1^2 + 2x1x8 +8^2) = 1^2 + 16 + 8^2 ) =

1^2 + 4^2 + 8^2

[NM]

uncle - athellaam intha notebook-ezhuthi vechchen but thought that's silly thanks Uncle
pEthi vanthaal, nanna solli kodunggO!

[GP]

Simple one.

I am a 7 letter city.

234 is a bird
61 is cool
1274 is a part of the face
4713 is a way of saying good

[rajraj]

Simple one.

I am a 7 letter city.

234 is a bird
61 is cool
1274 is a part of the face
4713 is a way of saying good

C H E N N A I

Start with the nearest !

[Benny Lava]

It is the only square of a square (4th power) that can be expressed as a sum of squares ! I think that was what the book I browsed said!

3^4 = 8^2 + 4^2 + 1^2


If I run across the book again I will verify !

May be somebody can write a script (program) to verify the assertion!

Benny Lava : Good job! You get an A !

Chumma 5 series expand pannadhukellam A kodutha epdi!

Anyway, I found that 4^4 can be expressed as 1 + 9 + 25 + 100 + 121... so there seems to be at least one another number having the same property?

[Benny Lava]

A Clock repairman got an urgent request to fix the broken hands of a clock. When he arrived, it was already getting dark however he fixed the clock hastily. While setting the hands, he referred to his pocket watch. It was six o'clock, so he set the big hand at 12 and the little hand at 6. When he returned soon he got a call saying that the clock is showing wrong time. Surprised, he hurried back to the client's house. He found the clock showing not much past eight. He handed his watch to the client, saying: "Check the time, please. Your clock is not off even by 1 second."

The client had to agree.

Early the next morning the client telephoned to say that the clock hands, apparently gone berserk, were moving around the clock at will. When he rushed over, the clock showed a little past seven. After checking with his watch, the apprentice got angry:
"You are making fun of me! Your clock shows the right time!"

But the mistake was actually on the part of the repairman. What could have gone wrong?

[rajraj]

Anyway, I found that 4^4 can be expressed as 1 + 9 + 25 + 100 + 121... so there seems to be at least one another number having the same property?

I will change that to A+ ! If I find the book I will let you know the name of the author and the publisher. You can write to them!

[GP]

Could not find that Lava, leaving it to Rajraj master.

One from me.

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?

[rajraj]

Could not find that Lava, leaving it to Rajraj master.

GP: Solving that requires some knowledge of mechanical clocks, the gear and hands. He has given some clues - 6 PM, pocket watch, erratic etc! Try again or let him give the solution.

I don't think many in your generation ever took a mechanical clock apart! It is all digital these days !