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Write negations of the following statements:

If diagonals of a parallelogram are perpendicular, then it is a rhombus.
 

Important Questions on Mathematical Reasoning

HARD
Mathematics>Mathematical Reasoning and Statistics>Mathematical Reasoning>Implications
The contrapositive of the statement "If you will work, you will earn money" is:
EASY
Mathematics>Mathematical Reasoning and Statistics>Mathematical Reasoning>Implications
The contrapositive of the statement "If it is raining, then I will not come", is
MEDIUM
Mathematics>Mathematical Reasoning and Statistics>Mathematical Reasoning>Implications

Contrapositive of the statement :

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

EASY
Mathematics>Mathematical Reasoning and Statistics>Mathematical Reasoning>Implications

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
Mathematics>Mathematical Reasoning and Statistics>Mathematical Reasoning>Implications
The contrapositive of the statement ''if I am not feeling well, then I will go to the doctor" is
MEDIUM
Mathematics>Mathematical Reasoning and Statistics>Mathematical Reasoning>Implications
Negation of the statement (p∨r)⇒(q∨r) is :
EASY
Mathematics>Mathematical Reasoning and Statistics>Mathematical Reasoning>Implications
Consider the statement: "For an integer n, if n3-1 is even, then n is odd". The contrapositive statement of this statement is:
MEDIUM
Mathematics>Mathematical Reasoning and Statistics>Mathematical Reasoning>Implications
Write the negation of the statement if diagonals of a parallelogram are perpendicular, then it is a rhombus. 
EASY
Mathematics>Mathematical Reasoning and Statistics>Mathematical Reasoning>Implications
The contrapositive of the following statement, "If the side of a square doubles, then its area increases four times", is
EASY
Mathematics>Mathematical Reasoning and Statistics>Mathematical Reasoning>Implications
Let A,B,C and D be four non-empty sets. The contrapositive statement of “If A⊆B and B⊆D , then A⊆C ” is
EASY
Mathematics>Mathematical Reasoning and Statistics>Mathematical Reasoning>Implications
The contrapositive of the statement: "If the weather is fine then my friends will come and we will go for a picnic." is
MEDIUM
Mathematics>Mathematical Reasoning and Statistics>Mathematical Reasoning>Implications
The statement ∼p↔~q is
EASY
Mathematics>Mathematical Reasoning and Statistics>Mathematical Reasoning>Implications
The negation of the statement : "Getting above 95% marks is necessary condition for Hema to get the admission in good college".
MEDIUM
Mathematics>Mathematical Reasoning and Statistics>Mathematical Reasoning>Implications
The Boolean expression p∧~q⇒q∨~p is equivalent to:
EASY
Mathematics>Mathematical Reasoning and Statistics>Mathematical Reasoning>Implications
The inverse of the statement (p∧~q)→r is
EASY
Mathematics>Mathematical Reasoning and Statistics>Mathematical Reasoning>Implications
For any two statement p and q, the negative of the expression p∨~p∧q is
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Mathematics>Mathematical Reasoning and Statistics>Mathematical Reasoning>Implications
Write the negation of the statement a person is rich if and only if he is a software engineer.
EASY
Mathematics>Mathematical Reasoning and Statistics>Mathematical Reasoning>Implications
The contrapositive of the statement "If I reach the station in time, then I will catch the train" is
EASY
Mathematics>Mathematical Reasoning and Statistics>Mathematical Reasoning>Implications
The contrapositive of the statement "I go to school if it does not rain" is
HARD
Mathematics>Mathematical Reasoning and Statistics>Mathematical Reasoning>Implications
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