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Number System T...

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  • Question 1
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    How many numbers are there between 500 and 600 in which 9 occurs only once?

  • Question 2
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    2! + 4! + 6! + 8! + 10! + ……..100! when divided by 3, would leave remainder

  • Question 3
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    For any natural number n, n4 + n2 + 1 is always

  • Question 4
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    Let D be a rational number of the form D = 0. abcd abcd abcd ….., where digits a, b, c and d are integers lying between 0 to 9. At most three of these digits are zero. By which number should D be multiplied so that the result will be a natural number?

  • Question 5
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    What is the greatest positive power of 5 that exactly divides 30!?

  • Question 6
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    The largest number that always divides the product of 3 consecutive multiples of 2 is

  • Question 7
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    The sum of two natural numbers is 85 and their LCM is 102. Find the numbers.

  • Question 8
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    If we write all the natural numbers from 259 to 492 side by side, we shall get a very large natural number 259260261262…490491492. How many 8s will be used to write this large natural number?

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