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Show that every positive odd integer is ...

Show that every positive odd integer is of the form 2q + 1, for some integer q.

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Show that every positive even integer is of the form 2q, for some integer q.

Show that every positive odd integer is of the form 4q + 1 or 4q + 3, where q is some integer.

Show that any positive odd integer is of the form 6q + 1 or 6q + 3 or 6q + 5, where q is some integer.

Use Euclid's division lemma to show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer m.

Use Euclid's division lemma to show that the cube of any positive integer is of the form 9m, 9m + 1 or 9m + 8.

For some integer q, every odd integer is of the form

For some integer m, every even integer is of the form:

Represent the following situations in the form of quadratic equations. The product of two consecutive positive integers is 306. We need to find the integers.

Represent the following situations in the form of quadratic equations: The product of two consecutive positive integers is 306. We need to find the integers.

MBD-REAL NUMBERS-EXERCISE
  1. Use Euclid's division algorithm to find HCF of : 4052,12576

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  2. Show that every positive even integer is of the form 2q, for some inte...

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  3. Show that every positive odd integer is of the form 2q + 1, for some i...

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  4. Show that every positive odd integer is of the form 4q + 1 or 4q + 3, ...

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  5. A sweet seller has 420 kaju baths and 130 badam barfis. She wants to s...

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  6. Show that one and only one out of p, p + 2 or p + 4 is divisible by 3.

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  7. Renu purchases two bags of fertiliser of weights 75 kg and 69 kg. Find...

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  8. Two tankers contain 434l and 465 litres of diesel respectively. Find t...

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  9. Hotel 'A' has 560 tables. Hotel B' has 400 tables. In each Hotel, the ...

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  10. Use Euclid's division algorithm to find the HCF of 420 and 130.

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  11. Express each number as a product of its prime factors : 32760

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  12. Express each number as a product of its prime factors : 404

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  13. Express each number as a product of its prime factors : 120

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  14. Express each number as a product of its prime factors : 825

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  15. Express each number as a product of its prime factors : 2658

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  16. Find the LCM and HCF of the following pairs of integers and verify tha...

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  17. Find the LCM and HCF of the following pairs of integers and verify tha...

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  18. Find the LCM and HCF of the following pairs of integers and verify tha...

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  19. Find the LCM and HCF of the following pairs of integers and verify tha...

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  20. Find the LCM and HCF of the following integers by applying the prime f...

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