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PUC Science कक्षा ११ - Karnataka Board PUC Question Bank Solutions

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 I will not go to school.

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 Both the diagonals of a rectangle have the same length.

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All policemen are thieves.

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

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Are the pair of statement are negation of each other:

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

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Write the negation of the statement:

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

 

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Write the negation of the statement:

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

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Write the negation of the statement:

r : There exists a number x such that 0 < x < 1.

 
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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.

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

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Find the component statement of the compound statement:

The earth is round or the sun is cold.

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Find the component statement of the compound statement:

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

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Find the component statement of the compound statement:

 25 is a multiple of 5 and 8.

 
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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.

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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.

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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.

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

 To apply for a driving licence, you should have a ration card or a passport.

 
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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.

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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.

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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

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