As we know the nafta, cooking gas, and other gasses are present in the core of the earth, so what would be the possibility that which sort of gas may be found in the core of moon, and did the apollo mission undertake such studies during its sojourn at moon? Or this type of search is pending yet.

If by "cooking gas" you mean methane or propane, they come from fairly close to the surface of Earth, and result mainly from dynamic processes that are absent on the Moon. I have no idea whay you mean by "nafta". Naptha? It's a petrolium derivative but not a gas.

The Moon has a lot of Oxygen, chemically bound in its surface rocks. Heluim-3 isotopes might be present in relatvely small amounts. Almost everything else is metals and silicates. Not much carbon to speak of, so no methane or burnable gasses, and definitely no petrolium.

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"If this were play'd upon a stage now, I could condemn it as an improbable fiction."
Shakespeare, Twelfth Night
Illuminati's Razor-The most complicatedly evil answer is usually the most correct answer. - Fazor
"Every book is a children's book if the kid can read." - Mitch Hedberg
"Distance doesn’t matter much in space, where if you just start a thing off with the right kind of shove, sooner or later it will get where you want it to go." -Frederik Pohl, Mining the Oort

Yeah, me with my stupid shows again...
I recently saw a program on the science channel that said there was enough natural gas (Possibly helium 3 but I only saw the show once) to power the entire Earth for the next thousand years. Then again, this is the same channel that shows programs saying that there is evidence for multiverse's.