Science (English Medium) Class 11 - CBSE Question Bank Solutions for Mathematics

Form the biconditional statement p ↔ q, where
p: A triangle is an equilateral triangle.
q: All three sides of a triangle are equal.

Identify the Quantifiers in the following statements.

There exists a triangle which is not equilateral.

Identify the Quantifiers in the following statements.

For all real numbers x and y, xy = yx.

Identify the Quantifiers in the following statements.

There exists a real number which is not a rational number.

Identify the Quantifiers in the following statements.

For every natural number x, x + 1 is also a natural number.

Identify the Quantifiers in the following statements.

For all real numbers x with x > 3, x 2 is greater than 9.

Identify the Quantifiers in the following statements.

There exists a triangle which is not an isosceles triangle.

Identify the Quantifiers in the following statements.

For all negative integers x, x 3 is also a negative integers.

Identify the Quantifiers in the following statements.

There exists a statement in above statements which is not true.

Identify the Quantifiers in the following statements.

There exists a even prime number other than 2.

Identify the Quantifiers in the following statements.

There exists a real number x such that x² + 1 = 0.

Check the validity of the following statement.
p: 125 is divisible by 5 and 7.

Check the validity of the following statement.
q: 131 is a multiple of 3 or 11

Which of the following is a statement?

Which of the following is not a statement>

The connective in the statement “2 + 7 > 9 or 2 + 7 < 9” is ______.

The connective in the statement “Earth revolves round the Sun and Moon is a satellite of earth” is ______.

The negation of the statement “A circle is an ellipse” is ______.

The negation of the statement “7 is greater than 8” is ______.

The negation of the statement “72 is divisible by 2 and 3” is ______.