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If a: x is prime

b: x is odd

What is the truth value of ab when x=9?

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Important Questions on Mathematical Reasoning

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The Boolean expression p~qq~p is equivalent to:
EASY
The contrapositive of the statement "If it is raining, then I will not come", is
HARD
The contrapositive of the statement "If you will work, you will earn money" is:
MEDIUM
Write the negation of the statement a person is rich if and only if he is a software engineer.
EASY
The contrapositive of the statement ''if I am not feeling well, then I will go to the doctor" is
MEDIUM
Write the negation of the statement if diagonals of a parallelogram are perpendicular, then it is a rhombus. 
EASY
The inverse of the statement (p~q)r is
EASY
The negation of the statement : "Getting above 95% marks is necessary condition for Hema to get the admission in good college".
EASY
The contrapositive of the following statement, "If the side of a square doubles, then its area increases four times", is
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:

EASY
The contrapositive of the statement: "If the weather is fine then my friends will come and we will go for a picnic." is
MEDIUM
Negation of the statement (pr)(qr) is :
EASY
The contrapositive of the statement "If I reach the station in time, then I will catch the train" is
EASY
The contrapositive of the statement "I go to school if it does not rain" 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
MEDIUM
In which of the following case, pq is true?
EASY
Write the contrapositive and converse of the given statement.
If x is a prime number, then x is odd.
MEDIUM
When does the inverse of the statement ~pq results in T?