Take away the whole

Take away the whole and some still remain. What is it?




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It comprises roots which nobody sees,
Much taller than those trees,
Up and up it goes,
Still it never grows?

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I have thought of a number that is made up by using all the ten digits just once. Here are a few clues for you to guess my number:

First digits is divisible by 1.
First two digits are divisible by 2.
First three digits are divisible by 3.
First four digits are divisible by 4.
First five digits are divisible by 5.
First six digits are divisible by 6.
First seven digits are divisible by 7.
First eight digits are divisible by 8.
First nine digits are divisible by 9.
The number is divisible by 10.

Can you find out the number ?

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If,

A + B = C
D - C = A
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Based on the above equations, find out the answer for:

D + F = ?

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We know that the number 7 is the prime followed by a cube. Which next number is also a prime followed by a cube?

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Matchsticks Rectangles

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Find the Odd One Out

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Gambling

In Canada, a mathematical puzzle must be solved in order to win the lottery to classify it as a “game of skill” not gambling.