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

Write down the negation of following compound statements

6 is divisible by 2 and 3.

Rewrite the following statements in the form of conditional statements

The square of an odd number is odd.

Rewrite the following statements in the form of conditional statements

You will get a sweet dish after the dinner.

Rewrite the following statements in the form of conditional statements

You will fail, if you will not study.

Rewrite the following statements in the form of conditional statements

The unit digit of an integer is 0 or 5 if it is divisible by 5.

Rewrite the following statements in the form of conditional statements

The square of a prime number is not prime.

Rewrite the following statements in the form of conditional statements

2b = a + c, if a, b and c are in A.P.

Form the biconditional statement p ↔ q, where
p: The unit digit of an integer is zero.
q: It is divisible by 5.

Form the biconditional statement p ↔ q, where
p: A natural number n is odd.
q: Natural number n is not divisible by 2.

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.