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Byju's Answer

Standard XI

Mathematics

Common Difference

Which option ...

Question

Which option is not same as “if p then q”?

~p implies q.

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p is a sufficient condition for q.

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p only if q.

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~q implies ~p

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Solution

The correct option is A
~p implies q.

If p then q is same as following:

p is a sufficient condition for q.

p only if q.

q is a sufficient condition for p.

~q implies ~p.

P implies q.

Suggest Corrections

Similar questions

Q. Assertion :The contrapositive and converse of the statement: "If

x

is a prime number, then

x

is odd" are:
Contrapositive: "If

x

is not odd, then

x

is not a prime number.
Converse: If

x

is odd, then

x

is a prime number. Reason: If statement

p

implies

q

, then its contrapositive is

\sim q

implies

\sim p

, and its converse is

q

implies

p

Q. If

^{'} p + q^{'}

implies that p is the father of q,

^{'} p \times q^{'}

implies that p is the brother of q, and

^{'} p - q^{'}

implies that p is the mother of q, then for

^{'} C - A + B,^{'}

which of the following is definitely true?

Q. Which of the following is not equivalent form of compound statement formed by the logical connective "if and only if" using the sub statements

p

and

q

Q. Question 12
If S is a point on side PQ of a

Δ

PQR such that PS = QS = RS, then

(A)

P R . Q R = R S^{2}

(B)

Q S^{2} + R S^{2} = Q R^{2}

(C)

P R^{2} + Q R^{2} = P Q^{2}

(D)

P S^{2} + R S^{2} = P R^{2}

Q. Mark the correct answer in each of the following:
Which of the following is conditional p → q?
(a) q is sufficient for p
(b) p is necessary for q
(c) p only if q
(d) if q, then p

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Which option is not same as “if p then q”?

The correct option is A ~p implies q. If p then q is same as following: p is a sufficient condition for q. p only if q. q is a sufficient condition for p. ~q implies ~p. P implies q.

The correct option is A
~p implies q.

If p then q is same as following:

p is a sufficient condition for q.

p only if q.

q is a sufficient condition for p.

~q implies ~p.

P implies q.