Arts (English Medium) कक्षा ११ - CBSE Question Bank Solutions

Are the pair of statement are negation of each other:
The number x is not a rational number.
The number x is not an irrational number.

Are the pair of statement are negation of each other:

 The number x is not a rational number.
The number x is an irrational number.

Write the negation of the statement:

 p : For every positive real number x, the number (x − 1) is also positive.

Write the negation of the statement:

q : For every real number x, either x > 1 or x < 1.

Write the negation of the statement:

Check whether the following pair of statements are negation of each other. Give reasons for your answer.
a + b = b + a is true for every real number a and b.
 There exist real numbers a and b for which a + b = b + a.

Find the component statement of the compound statement:
 The sky is blue and the grass is green.

Find the component statement of the compound statement:

The earth is round or the sun is cold.

Find the component statement of the compound statement:

All rational numbers are real and all real numbers are complex.

Find the component statement of the compound statement:

For statement, determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer.

 Students can take Hindi or Sanskrit as their third language.

For statement, determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer.

 To entry a country, you need a passport or a voter registration card.

For statement, determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer.

A lady gives birth to a baby boy or a baby girl.

For statement, determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer.

Write the component statement of the compound statement and check whether the compound statement is true or false:

 To enter into a public library children need an identity card from the school or a letter from the school authorities.

Write the component statement of the compound statement and check whether the compound statement is true or false:

All rational numbers are real and all real numbers are not complex.

Write the component statement of the compound statement and check whether the compound statement is true or false:

 Square of an integer is positive or negative.i

Write the component statement of the compound statement and check whether the compound statement is true or false:

 x = 2 and x = 3 are the roots or the equation 3x² − x − 10 = 0.

Write the component statement of the compound statement and check whether the compound statement is true or false: