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Two sets of English and social science books containing 336 and 96 respectively in a library have to be stacked in such a way that an the books are stored topic wise and the height of each stack is the same. Assuming that the books are of the same thickness, determine the number of stacks. What are the characteristics of library?

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NAGEEN PRAKASHAN-REAL NUMBERS-Exercise1 A
  1. Show that any positive odd integer is of the form 4q+1 or 4q+3 , wh...

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

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

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

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

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

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

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

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

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

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

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  12. In a group there are 21 childrens, 35 ladies and 49 gents. They all wa...

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  13. Three sets of English, Hindi and Mathematics books have to be stack...

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

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  15. Find the polynomials u(x) and v(x) such that (x^(4) -1) * u(x) + (x^(...

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  16. Six bells commence tolling together and toll at interval of 2, 4 , 6, ...

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  17. Find the greatest number of 4 digits which is exactly divisible by 15 ...

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  18. A number when divided by 143 leaves 31 as remainder. What will be the ...

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  19. p and q are two positive integers such that the least prime factor of ...

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  20. Express each of the following as a product of prime factors: (i) 96 ...

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