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In a seminar. the number of participants...

In a seminar. the number of participants in Hindi, English and Mathematics are 60,84 and 108 respectively. Find the minimum number of rooms required if, in each room the same number of participants are to be seated and all of them being in the same subject.

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RD SHARMA ENGLISH-REAL NUMBERS-All Questions
  1. Explain Euclid's Division Lemma

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

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  3. In a seminar. the number of participants in Hindi, English and Mathema...

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  4. Find the largest number that will divide 398, 436 and 542 leaving r...

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  5. Find the HCF and LCM of 144, 180 and 192 by prime factorisation method...

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  6. Explain why 7*11*13+13 and 7*6*5*4*3*2*1+5 are composite numbers.

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  7. Prove that a positive integer n is prime number, if no prime p less th...

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

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  9. prove that there are infinitely many positive integers.

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  10. Determine the prime factorization of each of the following numbers: 13...

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  11. Express each of the following positive integers as the product of its ...

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  12. If a and b are two odd positive integers such that a > b, then prove t...

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  13. Prove that one of every three consecutive positive integers is divi...

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  14. Show that the square of an odd positive integer is of the form 8q+1, f...

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  15. Prove that the square of any positive integer is of the form 5q ,5q+1,...

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  16. Prove that if x and y are odd positive integers, then x^2+y^2 is even ...

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

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  18. Prove that n^2-n divisible by 2 for every positive integer n.

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  19. The remainder when the square of any prime number greater than 3 is ...

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  20. Use Euclid’s division algorithm to find the HCF of 4052 and 12576.

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