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00:00 - 00:59 | hello everyone the question is that each of the following is Defined by first A + B by 2 is binary operation on Z that is integer then we start Defined by a star b is equal to A + B by 2 is a binary operations on queue future rational number then third or binary comedy to operate operation are associated with separation is a binary operation of and that is natural binary trees that it hole if any given statement holds project property then we can say it is vinyl let's start with one by one each option for the first that is given as operation on Red that is integer select a star b |

01:00 - 01:59 | are also one thing we forgot to return that a study if belong to any satus then A and B are also belongs to that is minus 1 4 b is given as A + B by 2 let's say this a is 3 and b is from this operation we can say 3 + 2 by 2 please give the 5 by 2 but 5 by 2 not belong to blood that is integer so we can say that a is the wrong of a doesn't satisfy in VI sem operation A + B by 2 sem number 5 by 2 only for the rational it actually |

02:00 - 02:59 | belongs to rational number if we take any number 523 B to B is 5.2 then also it will come as the rational number so we can say that yes star Izzat operation of a number is 2 and 3 that is given estimate committed to community on the associated so if you both for that is Chabi start C is equal to a star AC show along with competitive we need to be associated albany or computer operation are associated which is actually not true we know that we know this is also not going to be true now De it is told that |

03:00 - 03:59 | A + B by 2 auraton se subtraction is a binary operation on subtraction is never going to the binary operation of you let se 2 - 3 - 1 is doesn't belong to natural number so that is also wrong only 20 option which is correct I hope you understand solution |