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The number of multiples lie between n and n2 which are divisible by n is ______. -

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Question

The number of multiples lie between n and n2 which are divisible by n is ______.

Options

  • n + 1

  • n

  • n - 1

  • n - 2

MCQ
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Solution

The number of multiples lie between n and n2 which are divisible by n is n - 2.

Explanation:-

Multiples of n from 1 to n2 are n × 1, n × 2, n × 3, …, m× n

∴ There are n numbers

Thus, the number of multiples of n which lie between n and n2 is (n - 2) leaving first and last in the given list: Total numbers are (n - 2).

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