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Theory of Numbe...

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  • Question 1
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    Suppose x and y are the digits in the number x01y such that it is divisible by both 8 and 9. What is the sum of x and y?

  • Question 2
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    56 - 1 is divisible by

  • Question 3
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    How many pairs of x and y are possible in the eight-digit number x456789y, if the number is divisible by 18?

  • Question 4
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    A number formed by writing any digit 6 times is always divisible by

  • Question 5
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    A 101-digit number is formed by writing natural numbers (starting from 1) as 12345678910111213…. Find the remainder when this number is divided by 8.

  • Question 6
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    The HCF of two numbers is 21 and their sum is 105. The LCM of the numbers is

  • Question 7
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    There are 4 numbers. The HCF of each pair is 3 and the LCM of all the 4 numbers is 126. What is the product of the 4 numbers?

  • Question 8
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    If x136y is a five digit number divisible by 15, where x and y are digits, then the least possible value of x + y is

  • Question 9
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    If 7A28 is divisible by 8, where A is a digit, then how many such numbers are possible?

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