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Theory of Numbe...

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  • Question 1
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    What is the highest factor of 1573, except the number itself?

  • Question 2
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    Find the last digit of (173)99.

  • Question 3
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    What is the rightmost non-zero digit of 270270 + 130130?

  • Question 4
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    The smallest positive number which leaves remainder 1 when divided by 3, 4, 5 or 7 is

  • Question 5
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    Find the numbers between 400 and 550, which when divided by 6, 8, or 9, leave 5 as the remainder in each case.

  • Question 6
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    x and y are distinct two-digit numbers. If their HCF is 14, what is the maximum possible value of x + y?

  • Question 7
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    Find the number of factors of 5005.

  • Question 8
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    How many factors of 1440 are perfect squares?

  • Question 9
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    How many numbers divisible by each of the numbers 21, 36 and 66 are there such that they are less than 10,000?

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