self Maths Puzzle

i am a 5 letter word...people eat me.if you remove my first letter,i am a form of energy.if remove my first 2 letters ,people need me to live.if u remove first 3 letters i am a preposition.if you remove my first 4 letters ,i will be a drink for you.. who am i?

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self Other Question

2 6 3 12 6 42 7..? find a pair of numbers which are such that...the difference of their squares can be written as cube...and the difference of their cubes can be written as a square...