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Show that one and only one out of n ,n+2...

Show that one and only one out of `n ,n+2or ,n+4` is divisible by 3, where `n` is any positive integer.

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one and only one out of n, n + 2 , n + 4 is divisible by 3
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OSWAL PUBLICATION-REAL NUMBERS-NCERT Corner (Exercise - 1.4)
  1. Without actually performing the long division, state whether the rat...

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  2. Without actually performing the long division, state whether the rat...

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  3. Without actually performing the long division, state whether the rat...

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  4. Without actually performing the long division, state whether the rat...

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  5. Without actually performing the long division, state whether the rat...

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  6. Without actually performing the long division, state whether the rat...

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  7. Without actually performing the long division, state whether the rat...

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  8. Without actually performing the long division, state whether the rat...

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  9. Write whether the square of any positive integer can be of the form 3m...

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  10. A positive integer is the form of 3q+1 q, being a natural number. Can ...

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  11. The number 525 and 3000 are both divisible only 3,5,15,25,75. What is ...

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  12. Explain why 3 xx 5xx 7 xx + 7 is a composite number

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  13. Can two number have 18 as their HCF and 380 as their LCM? Give reason

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  14. Without actually performing the long divison, find if (987)/(10500) wi...

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  15. A rational number in its decimal expansion is 327.7081. What can you s...

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  16. Show that the cube of a positive integer of the form 6q+r,q is an inte...

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  17. Show that one and only one out of n ,n+2or ,n+4 is divisible by 3, whe...

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  18. Prove that one of every three consecutive positive integers is divisib...

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  19. For any positive integer n prove that n^(3)-n is divisible by 6

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  20. Show that one and only one out of n, n + 4, n + 8, n + 12 and n + 16 i...

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