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Use Euclid's division algorithm , to fin...

Use Euclid's division algorithm , to find the H.C.F. of the following : (i) 70 and 40 `" "` (ii) 18 and 45 `" "` (iii) 56 and 88 `"

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The correct Answer is:
(i) 10 `" " ` (ii) 9 `" "` (iii) 8 `" "` (iv) 5 `" "` (v) 15 `" "` (vi) 11 `" " ` (vii) 23
(viii) 9 `" "` (ix) 16 `" " ` (x) 11
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NAGEEN PRAKASHAN-REAL NUMBERS-Exercise1 A
  1. Use Euclid's division algorithm , to find the H.C.F. of the following ...

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  2. If the HCF of 408 and 1032 is expressible in the form 1032\ m-408xx...

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  3. यदि 56 तथा 72 का HCF d है तो x व y के वे मान ज्ञात कीजिए जो d = 56x + ...

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  4. Express the H.C.F. of 18 and 24 in the form of 18x + 24y.

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  5. Express the H.C.F. of 30 and 36 in the form of 30x + 36y.

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  6. Find the largest number that divides 1989 and 967 and leaves a remaind...

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  7. Find the largest number that divides 189 and 249 leaving remainder 9 i...

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  8. Find the largest number that divides 280 and 1248 leaving remainders 4...

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  9. Find the greartest number that divides 699 and 572 leaving remainders...

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

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  11. Show that any positive integer is of the form 3q or, 3q+1 or, 3q+2 ...

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  12. Show that every even positive integer is of the form 6q or 6q + 2 or...

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  13. Show that every positive integer is either even or odd.

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  14. Proof that the square of any positive integer is of the form of 4m or ...

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  15. Show that the square of any positive integer cannot be of the form 5m ...

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

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  17. There are 576 boys and 448 girls in a school that are to be divided in...

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  18. The length , breadth and height of a room are 8 m 25 cm , 6 m 75 cm ...

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  19. A sweet seller has 420 kaju barfis and 130 badam barfis. She wants ...

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  20. Two sets of English and social science books containing 336 and 96 res...

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