Why 1729 is a magic number? Answer Logically.

Which five letter word can be added at the end of below word to form a
valid word?

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Divide 110 into two parts so that one will be 150 per cent of the other. What are the 2 numbers?

Can you think of a smallest +ve number such that if we shuffle the digits of the number, the new number becomes double the original number?

I welcome the day with a show of light, I stealthily came here in the night. I bathe the earthy stuff at dawn, But by noon, alas! I'm gone.

Which is Odd One Out and why?

4377

3954

9862

8454

9831

Can you find the least possible number such that

If the number is divided by 3, it gives the remainder of 1;
If the number is divided by 4, it gives the remainder of 2;
If the number is divided by 5, it gives the remainder of 3;
If the number is divided by 6, it gives the remainder of 4.

Can you divide the below-given shape into four equal and identical pieces?

Find the last number in the series below:

voN luJ yaM raM ---

Twice ten are six of us,

Six are but three of us,

Nine are but four of us;

What can we possibly be?

Would you know more of us?

Twelve are but six of us,

Five are but four, do you see?

What are we?