Question

show that any positive odd integer is of the form 6q + 1 or 60 + 3 or 60 + 5 Where Q is some integer

Answer 1

remaining you do it
ok bye good night

Answer 2

ʟᴇᴛ ᴀ ʙᴇ ᴛʜᴇ ᴘᴏsɪᴛɪᴠᴇ ᴏᴅᴅ ɪɴᴛᴇɢᴇʀ ᴡʜɪᴄʜ ᴡʜᴇɴ ᴅɪᴠɪᴅᴇᴅ ʙʏ 6 ɢɪᴠᴇs ϙ ᴀs ϙᴜᴏᴛɪᴇɴᴛ ᴀɴᴅ ʀ ᴀs ʀᴇᴍᴀɪɴᴅᴇʀ.

ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ᴇᴜᴄʟɪᴅ's ᴅɪᴠɪsɪᴏɴ ʟᴇᴍᴍᴀ

ᴀ=ʙϙ+ʀ

ᴀ=6ϙ+ʀ

ᴡʜᴇʀᴇ , ᴀ=0,1,2,3,4,5

ᴛʜᴇɴ,

ᴀ=6ϙ

ᴏʀ

ᴀ=6ϙ+1

ᴏʀ

ᴀ=6ϙ+2

ᴏʀ

ᴀ=6ϙ+3

ᴏʀ

ᴀ=6ϙ+4

ᴏʀ

ᴀ=6ϙ+5

ʙᴜᴛ ʜᴇʀᴇ,

ᴀ=6ϙ+1 & ᴀ=6ϙ+3 & ᴀ=6ϙ+5 ᴀʀᴇ ᴏᴅᴅ.

by- @muskanyadav21