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

Which of the following sentences are statements? Justify

sin²x + cos²x = 0

Find the component statements of the following compound statements.

Number 7 is prime and odd.

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Chennai is in India and is the capital of Tamil Nadu.

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The number 100 is divisible by 3, 11 and 5.

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Chandigarh is the capital of Haryana and U.P.

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`sqrt(7)` is a rational number or an irrational number.

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0 is less than every positive integer and every negative integer.

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Plants use sunlight, water and carbon dioxide for photosynthesis.

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Two lines in a plane either intersect at one point or they are parallel.

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A rectangle is a quadrilateral or a 5-sided polygon.

Write the component statements of the following compound statements and check whether the compound statement is true or false.

57 is divisible by 2 or 3.

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24 is a multiple of 4 and 6.

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All living things have two eyes and two legs.

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2 is an even number and a prime number.

Translate the following statements into symbolic form

Rahul passed in Hindi and English.

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x and y are even integers.

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2, 3 and 6 are factors of 12

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Either x or x + 1 is an odd integer.

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A number is either divisible by 2 or 3.

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Either x = 2 or x = 3 is a root of 3x 2 – x – 10 = 0