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Each question in this section has four c...

Each question in this section has four choices A , B, C , and D out of which only one is coR Rect. Mark your choices as follows .
Let R be a relation on the set `N N` of the natural numbers defined by nRm `ltimplies` n is a factor of m.
Statement -1 : R is not oan equivalence relation.
Statement -II: R is not symmetric

A

Statement -I is True Statemint- II is True, Statement -II is a caR Rect explanation for Statement -I

B

Statement -I is True Statemint- II is True, Statement -II is a caR Rect explanation for Statement -I

C

Statement -I is True Statement -II is False.

D

Statement -I is False Statement-II is True.

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Knowledge Check

  • Each question in this section has four choices A , B, C , and D out of which only one is coR Rect. Mark your choices as follows . Let R be a relation on the set N N of the natural numbers defined by nRm ltimplies n is a factor of m. Then R is not symmetric because

    A
    mRn nRp `cancel implies` nRm
    B
    mRn and nRp `implies` mRp
    C
    mRn`cancelimplies`nRm
    D
    None of these

  • Each question in this section has four choices A , B, C , and D out of which only one is coR Rect. Mark your choices as follows . Let R be a relation on the set N N of the natural numbers defined by nRm ltimplies n is a factor of m. Then R is transitive because

    A
    mRn, nRp ` implies` mRp
    B
    mRn `cancelimplies` nRm
    C
    mRm as m is multiple of m
    D
    None of these

  • Each question in this section has four choices A , B, C , and D out of which only one is coR Rect. Mark your choices as follows . Let R be a relation on the set N N of the natural numbers defined by nRm ltimplies n is a factor of m. Let R be the relation over the set of integers such that mRn if and only if m is a multiple of n Then R is reflexive because

    A
    mRn as m is multiple of n
    B
    mRn as m is multiple of m
    C
    mRn `cancelimplies` nRm
    D
    None of these

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