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

Translate the following statements in symbolic form

2 and 3 are prime numbers 

Translate the following statements in symbolic form

Tigers are found in Gir forest or Rajaji national park.

Write the truth value of the following statements.
(i) 9 is an even integer or 9 + 1 is even.
(ii) 2 + 4 = 6 or 2 + 4 = 7
(iii) Delhi is the capital of India and Islamabad is the capital of Pakistan.
(iv) Every rectangle is a square and every square is a rectangle
(v) The sun is a star or sun is a planet.

Write negation of the statement
“Everyone who lives in India is an Indian”

Write the negation of the following statements:
p: All triangles are equilateral triangles.

Write the negation of the following statements:
q: 9 is a multiple of 4.

Write the negation of the following statements:
r: A triangle has four sides.

Write the negation of the following statements:
Suresh lives in Bhopal or he lives in Mumbai.

Write the negation of the following statements:
x + y = y + x and 29 is a prime number.

Rewrite the following statements in the form of conditional statements:

Mohan will be a good student if he studies hard.

Rewrite the following statements in the form of conditional statements:

Ramesh will get dessert only if he eats his dinner.

Rewrite the following statements in the form of conditional statements:

When you sing, my ears hurt.

Rewrite the following statements in the form of conditional statements:

A necessary condition for Indian team to win a cricket match is that the selection committee selects an all-rounder.

Rewrite the following statements in the form of conditional statements:

A sufficient condition for Tara to visit New Delhi is that she goes to the Rashtrapati Bhawan.

Express in English, the statement p → q, where
p: It is raining today
q: 2 + 3 > 4

Translate the following statements in symbolic form:
If x = 7 and y = 4” then x + y = 11.

Form the biconditional of the following statements :
p: Today is 14^th of August
q: Tomorrow is Independence day

Translate the following biconditional into symbolic form:
“ABC is an equilateral triangle if and only if its each interior angle is 60°”

Identify the quantifiers and write the negation of the following statements:
There exists a number which is equal to its square.

Identify the quantifiers and write the negation of the following statements:
For all even integers x, x² is also even.