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Given positive integers a and b, there e...

Given positive integers a and b, there exists unique integers q and r satisfying a = bq + r. In this statement r should be smaller than which integer ?

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b
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KUMAR PRAKASHAN-REAL NUMBERS -OBJECTIVE QUESTIONS
  1. Any positive odd integer a is of the form ........ for some integer m.

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  2. The LCM of the smallest prime number and the smallest composite number...

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  3. For two positive integers a and b, if HCF (a, b) = 7 and LCM (a, b) = ...

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  4. The prime factorisation of 98 is ...........

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  5. From the given factor tree, the values of x and y are ......... respec...

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  6. ......... is not an irrational number. √6 √5 √4 √3

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  7. ......... is a rational number between sqrt(2) and sqrt(3) a. 4/5...

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  8. If the HCF of 65 and 117. is expressible in the form 65m - 117, then t...

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  9. The largest number which divides 70 and 125 leaving remainders 5 and 8...

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  10. The decimal expansion of (27)/(2^(113)xx5^(110)) no terminates after ...

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  11. Given positive integers a and b, there exists unique integers q and r ...

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  12. What is the HCF of 65 and 117?

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  13. What is the LCM of 36 and 100 ?

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  14. After how many places of decimal does 751 the decimal expansion of (75...

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  15. State the smallest positive integer which is divisible by 28 and 63 bo...

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  16. The decimal expansion of 256/125 is non­terminating repeating.

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  17. The HCF of 25 and 52 is 1

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  18. The decimal expansion of (87)/(2^(5)5^(2)) terminates after ...... de...

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  19. pi is a rational number.

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  20. For two positive integers a and b, HCF (a, b) x LCM (a, b) = a x b.

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