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The number of numbers between n and n2 which are divisible by n is
- a)n – 2
- b)n
- c)n – 1
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The number of numbers between n andn2which are divisible by n isa)n &#...
Between n & n2, numbers divisible by n are:
2n, 3n, 4n, ….... (n – 1)n
No. of numbers = (n – 1) – 2 + 1 = n – 2
2n, 3n, 4n, ….... (n – 1)n
No. of numbers = (n – 1) – 2 + 1 = n – 2
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The number of numbers between n andn2which are divisible by n isa)n &#...
Explanation:
Counting the numbers:
To find the number of numbers between n and n^2 that are divisible by n, we need to count how many multiples of n are present in that range.
Counting the multiples:
When we look at the multiples of n between n and n^2, we can see that the first multiple of n in that range is n itself (since n is the smallest number in that range divisible by n). The last multiple of n in that range is n^2.
Calculating the count:
To find the count of multiples of n between n and n^2, we need to subtract the first multiple (n) from the last multiple (n^2) and then divide by n (since we are counting multiples of n).
Therefore, the number of multiples of n between n and n^2 is:
(n^2 - n)/n = n - 1
So, the correct answer is option A) n - 1.
Counting the numbers:
To find the number of numbers between n and n^2 that are divisible by n, we need to count how many multiples of n are present in that range.
Counting the multiples:
When we look at the multiples of n between n and n^2, we can see that the first multiple of n in that range is n itself (since n is the smallest number in that range divisible by n). The last multiple of n in that range is n^2.
Calculating the count:
To find the count of multiples of n between n and n^2, we need to subtract the first multiple (n) from the last multiple (n^2) and then divide by n (since we are counting multiples of n).
Therefore, the number of multiples of n between n and n^2 is:
(n^2 - n)/n = n - 1
So, the correct answer is option A) n - 1.
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The number of numbers between n andn2which are divisible by n isa)n – 2b)nc)n – 1d)none of theseCorrect answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The number of numbers between n andn2which are divisible by n isa)n – 2b)nc)n – 1d)none of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of numbers between n andn2which are divisible by n isa)n – 2b)nc)n – 1d)none of theseCorrect answer is option 'A'. Can you explain this answer?.
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