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The product of any two consecutive even natural numbers is divisible by 4.

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VGS PUBLICATION-BRILLIANT-PROOFS IN MATHEMATICS-EXERCISE
  1. Which of the following sentences are statements? Give reasons for your...

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  2. The product of two odd natural numbers is odd.

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  3. The product of any two consecutive even natural numbers is divisible b...

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  4. Take any three consecutive odd numbers and find their product, for e...

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  5. Take any three consecutive even numbers and add them , say , 2+4 + ...

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  6. Look at the following pattern. i) 28=2^2×7^1 , Total number of factors...

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  7. Look at the following pattern. ii) 30=2^1×3^1×5^1 , Total number of fa...

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  8. Look at the following pattern: 1^(2) = 1 11^(2) =121 111^2 = 12...

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  9. List five axioms (postulates) used in text book.

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  10. In a polynomial p(x)=x^(2) + x + 41 put different value of x and find ...

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  11. State which of the following are mathematical statements and which are...

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  12. State which of the following are mathematical statements and which are...

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  13. State which of the following are mathematical statements and which are...

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  14. State which of the following are mathematical statements and which are...

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  15. State which of the following are mathematical statements and which are...

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  16. Find counter examples to disprove the following statements: Every r...

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  17. Find counter examples to disprove the following statements: For any...

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  18. Find counter examples to disprove the statements: If n is a whole num...

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  19. Find counter examples to disprove the statements: Two triangle are co...

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  20. Find counter examples to disprove the statements: A quadrilateral wit...

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