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Let p be the statement "It rains"! and q...

Let p be the statement "It rains"! and q be the statement "It is cold".
STATEMENT-1 : If it rains then it is cold, if it does not rain then it is not cold.
and
STATEMENT-2 : `p rArr q =~ pvvq`

A

Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1

B

Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1

C

Statement-1 is False, Statement-2 is True

D

Statement-1 is True, Statement-2 is False

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • Let p be the statement "x is divisible b, 4" and q be the statement "x is divisible by 2". STATEMENT-1 : p hArr q and STATEMENT-2 : If x is divisible by 4, it must be divisible by 2 .

    A
    Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1
    B
    Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1
    C
    Statement-1 is True, Statement-2 is False
    D
    Statement-1 is False, Statement-2 is True

  • Let p and q be the statements: p: It is cold. q: She needs a hot cup of tea. Then p rarr q stands for

    A
    If it is cold then she needs a hot cup of tea
    B
    If it is not cold then she needs a hot cup of tea
    C
    It is cold and she needs a hot cup of tea
    D
    If she needs a hot cup of tea then it is cold.

  • The statement p rarr ( q rarr p ) is equivalent to

    A
    `p rarr (q harr p) `
    B
    `p rarr ( p rarr q) `
    C
    `p rarr ( p vee q ) `
    D
    `p rarr ( p ^^ q ) `

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