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Look at the following pattern. i) 28=2^2...

Look at the following pattern. i) `28=2^2×7^1` , Total number of factors `(2+ 1) (1+1) = 3×2 = 6` 28 is divisible by 6 factors i.e., 1,2,4,7,14,28.

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VGS PUBLICATION-BRILLIANT-PROOFS IN MATHEMATICS-EXERCISE
  1. Take any three consecutive odd numbers and find their product, for e...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Prove that the sum of two odd numbers is even.

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  19. Prove that the product of two even numbers is an even numbers.

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  20. Prove that if x is odd, then x^2 is also odd

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