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Find the greatest number that will divide 445, 572 and 699 leaving remainders 4,5 and 6 respectively.

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RD SHARMA ENGLISH-REAL NUMBERS-All Questions
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  2. What is the largest number that divides 626, 3127 and 15628 and lea...

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  3. Find the greatest number that will divide 445, 572 and 699 leaving ...

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  4. Two tankers contain 850 litres and 680 litres of petrol respectively. ...

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

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  6. Find the HCF of 81 and 237 and express it as a linear combination of 8...

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  7. Find the largest number that will divide 398 , 436 and 542 leaving rem...

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  8. Let a,b,c,k be rational numbers such that k is not perfect cube if a ...

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  9. Prove that for any prime positive integer p ,sqrt(p) is an irrational ...

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  10. Let A B C D be a tetrahedron such that the edges A B ,A Ca n dA D ar...

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  11. 15 Pastries and 12 biscuit packets have been donated for a school fete...

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

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  13. Let a and b be positive integers. Show that sqrt2 always lies between...

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  14. State whether the following are true or not: 3|93 (ii) 6|28 (iii) 0...

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  15. State whether the following are true or not: -7|-35 (ii) 6|6 (iii) ...

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  16. Show that every positive even integer is of the form 2q , and that ...

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

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

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  19. Show that n^2-1 is divisible by 8, if n is an odd positive integer.

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  20. Show that the square of any positive integer is of the form 3m or, ...

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