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Find the smallest number which when incr...

Find the smallest number which when increased by 17 is exactly divisible by both 520 and 468.

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RD SHARMA-REAL NUMBERS-All Questions
  1. The HCF of two numbers is 16 and their product is 3072. Find their ...

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  2. The LCM and HCF of two numbers are 180 and 6 respectively. If one o...

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  3. Find the smallest number which when increased by 17 is exactly divisib...

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  4. Find the greatest number of 6 digits exactly divisible by 24, 15 an...

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  5. Determine the number nearest to 110000 but greater than 100000 whic...

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  6. Find the smallest number which leaves remainder 8 and 12 when divid...

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  7. What is the smallest number that, when divided by 35,56 and 91 leaves ...

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  8. What is the least number that is divisible by all the numbers 1 to 10

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  9. Prove that sqrt(2) is an irrational number.

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  10. Prove that sqrt(3) is an irrational number.

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  11. Prove that 3sqrt(2) is irrational.

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  12. Prove that sqrt(5) is an irrational number.

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  13. Prove that 5-sqrt(3) is an irrational number.

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  14. Prove that 3+2sqrt(5) is irrational.

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  15. For any positive real number x, prove that there exists an irratio...

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  16. Show that the following numbers are irrational. 1/(sqrt(2)) (ii) 7s...

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  17. Show that the following numbers are irrational. 6+sqrt(2) (ii) 3-sq...

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  18. Prove that following numbers are irrationals: 4+sqrt(2) (ii) 5sqrt(...

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  19. Show that 2-sqrt(3) is an irrational number.

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  20. Show that 3+sqrt(2) is an irrational number.

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