IIT JAM Exam > IIT JAM Questions > If 52015 n. ( mod 11) and n {0, 1, 2, 3, 4, ...
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If 52015 ≡ n. ( mod 11) and n ∈ {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, then n is equal to _________
Correct answer is '1'. Can you explain this answer?
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If 52015 n. ( mod 11) and n {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, then ...
**Solution:**
To find the value of n, we need to calculate the remainder when 52015 is divided by 11.
**Method:**
We can use the concept of modular arithmetic to find the remainder. The modulus operation gives the remainder when one number is divided by another.
**Modular Arithmetic:**
In modular arithmetic, we consider the remainder as the result of a division operation. The modulus operation is denoted by the symbol "mod". For example, a mod b gives the remainder when a is divided by b.
**Calculating n:**
Given that 52015 is divided by 11, we can write it as:
52015 ≡ n (mod 11)
To find the remainder, we can divide 52015 by 11:
52015 ÷ 11 = 4728 remainder 7
Therefore, the remainder is 7.
**Understanding the Possible Values of n:**
The possible values of n range from 0 to 10, as given in the question.
n = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
**Determining the Correct Value of n:**
From the division, we found that the remainder is 7.
We need to find the value of n that corresponds to a remainder of 7.
Checking the possible values of n, we can see that n = 7 satisfies this condition.
Therefore, the correct value of n is 7.
**Conclusion:**
The correct answer is n = 7.
To find the value of n, we need to calculate the remainder when 52015 is divided by 11.
**Method:**
We can use the concept of modular arithmetic to find the remainder. The modulus operation gives the remainder when one number is divided by another.
**Modular Arithmetic:**
In modular arithmetic, we consider the remainder as the result of a division operation. The modulus operation is denoted by the symbol "mod". For example, a mod b gives the remainder when a is divided by b.
**Calculating n:**
Given that 52015 is divided by 11, we can write it as:
52015 ≡ n (mod 11)
To find the remainder, we can divide 52015 by 11:
52015 ÷ 11 = 4728 remainder 7
Therefore, the remainder is 7.
**Understanding the Possible Values of n:**
The possible values of n range from 0 to 10, as given in the question.
n = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
**Determining the Correct Value of n:**
From the division, we found that the remainder is 7.
We need to find the value of n that corresponds to a remainder of 7.
Checking the possible values of n, we can see that n = 7 satisfies this condition.
Therefore, the correct value of n is 7.
**Conclusion:**
The correct answer is n = 7.
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If 52015 n. ( mod 11) and n {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, then n is equal to _________Correct answer is '1'. Can you explain this answer?
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If 52015 n. ( mod 11) and n {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, then n is equal to _________Correct answer is '1'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about If 52015 n. ( mod 11) and n {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, then n is equal to _________Correct answer is '1'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 52015 n. ( mod 11) and n {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, then n is equal to _________Correct answer is '1'. Can you explain this answer?.
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