Which of the following is a statement?
x is a real number.
Switch off the fan.
6 is a natural number.
Let me go.
Which of the following is not a statement?
Smoking is injurious to health.
2 + 2 = 4
2 is the only even prime number.
Come here.
The connective in the statement “2 + 7 > 9 or 2 + 7 < 9” is
and
or
>
<
The connective in the statement “Earth revolves round the Sun and Moon is a satellite of earth” is
or
Earth
Sun
and
The negation of the statement “A circle is an ellipse” is
An ellipse is a circle.
An ellipse is not a circle.
A circle is not an ellipse.
A circle is an ellipse.
The negation of the statement “7 is greater than 8” is
7 is equal to 8.
7 is not greater than 8.
8 is less than 7.
none of these
The negation of the statement “72 is divisible by 2 and 3” is
72 is not divisible by 2 or 72 is not divisible by 3.
72 is not divisible by 2 and 72 is not divisible by 3.
72 is divisible by 2 and 72 is not divisible by 3.
72 is not divisible by 2 and 72 is divisible by 3.
The negation of the statement “Plants take in CO₂ and give out O₂” is
Plants do not take in CO₂ and do not give out O₂.
Plants do not take in CO₂ or do not give out O₂.
Plants take in CO₂ and do not give out O₂.
Plants take in CO₂ or do not give out O₂.
The negation of the statement “Rajesh or Rajni lived in Bangalore” is
Rajesh did not live in Bangalore or Rajni lives in Bangalore.
Rajesh lives in Bangalore and Rajni did not live in Bangalore.
Rajesh did not live in Bangalore and Rajni did not live in Bangalore.
Rajesh did not live in Bangalore or Rajni did not live in Bangalore.
The negation of the statement “101 is not a multiple of 3” is
101 is a multiple of 3.
101 is a multiple of 2.
101 is an odd number.
101 is an even number.
The contrapositive of the statement “If 7 is greater than 5, then 8 is greater than 6” is
If 8 is greater than 6, then 7 is greater than 5.
If 8 is not greater than 6, then 7 is greater than 5.
If 8 is not greater than 6, then 7 is not greater than 5.
If 8 is greater than 6, then 7 is not greater than 5.
The converse of the statement “If x > y, then x + a > y + a” is
If x < y, then x + a < y + a.
If x + a > y + a, then x > y.
If x < y, then x + a > y + a.
If x ≥ y, then x + a < y + a.
The converse of the statement “If sun is not shining, then sky is filled with clouds” is
If sky is filled with clouds, then the sun is not shining.
If sun is shining, then sky is filled with clouds.
If sky is clear, then sun is shining.
If sun is not shining, then sky is not filled with clouds.
The contrapositive of the statement “If p, then q” is
If q, then p.
If p, then ~q.
If ~q, then ~p.
If ~p, then ~q.
The statement “If x² is not even, then x is not even” is converse of which?
If x² is odd, then x is even.
If x is not even, then x² is not even.
If x is even, then x² is even.
If x is odd, then x² is even.
The contrapositive of the statement “If Chandigarh is capital of Punjab, then Chandigarh is in India” is
If Chandigarh is not in India, then Chandigarh is not the capital of Punjab.
If Chandigarh is in India, then Chandigarh is Capital of Punjab.
If Chandigarh is not capital of Punjab, then Chandigarh is not capital of India.
If Chandigarh is capital of Punjab, then Chandigarh is not in India.
Which of the following is the conditional \( p \rightarrow q \)?
q is sufficient for p.
p is necessary for q.
p only if q.
if q, then p.
The negation of the statement “The product of 3 and 4 is 9” is
It is false that the product of 3 and 4 is 9.
The product of 3 and 4 is 12.
The product of 3 and 4 is not 12.
It is false that the product of 3 and 4 is not 9.
Which of the following is not a negation of “A natural number is greater than zero”?
A natural number is not greater than zero.
It is false that a natural number is greater than zero.
It is false that a natural number is not greater than zero.
None of the above
Which of the following statements is a conjunction?
Ram and Shyam are friends.
Both Ram and Shyam are tall.
Both Ram and Shyam are enemies.
None of the above.