HARD
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Which of the following is the inverse of the proposition : "If a number is a prime, then it is odd"?

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Important Questions on Mathematical Reasoning

EASY
The contrapositive of the statement "I go to school if it does not rain" is
EASY
The contrapositive of the statement "If it is raining, then I will not come", is
MEDIUM
The Boolean expression p~qq~p is equivalent to:
EASY
Let A,B,C and D be four non-empty sets. The contrapositive statement of “If AB and BD , then AC ” is
EASY

Consider the following statements:

P: Ramu is intelligent.

Q: Ramu is rich.

R: Ramu is not honest.

The negation of the statement "Ramu is intelligent and honest if and only if Ramu is not rich" can be expressed as:

HARD
The contrapositive of the statement "If you will work, you will earn money" is:
MEDIUM
Prove that 6n + 13  is an odd integer, where n is an integer.
EASY
The contrapositive of the statement "If I reach the station in time, then I will catch the train" is
EASY
Consider the statement: "For an integer n, if n3-1 is even, then n is odd". The contrapositive statement of this statement is:
EASY
The contrapositive of the statement: "If the weather is fine then my friends will come and we will go for a picnic." is
EASY
The contrapositive of the statement ''if I am not feeling well, then I will go to the doctor" is
EASY
The negation of the statement : "Getting above 95% marks is necessary condition for Hema to get the admission in good college".
MEDIUM
Negation of the statement (pr)(qr) is :
EASY
Prove that the sum of three successive even integers is always a multiple of 6.
EASY
Converse of the statement 'If x is an odd number, then x is prime' is
EASY

Prove that the sum of three consecutive even numbers is always a multiple of 6.

MEDIUM

Contrapositive of the statement :

'If a function f is differentiable at a, then it is also continuous at a', is

EASY
The contrapositive of the following statement, "If the side of a square doubles, then its area increases four times", is
HARD
Consider the following statements:

P: Suman is brilliant

Q: Suman is rich

R: Suman is honest

The negation of the statement, "Suman is brilliant and dishonest if and only if Suman is rich" can be equivalently expressed as