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When a positive number n is divided by 7 leaves the remainder 2, when 3n is divided by the same number, then the remainder is
- a)4
- b)5
- c)6
- d)8
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
When a positive number n is divided by 7 leaves the remainder 2, when ...
N = 7+2 =9
3n = 27
27/7 = 6
3n = 27
27/7 = 6
Most Upvoted Answer
When a positive number n is divided by 7 leaves the remainder 2, when ...
Solution:
Let's assume the positive number n is x.
Given, x divided by 7 gives remainder 2.
Therefore, we can write:
x = 7p + 2 (where p is any integer)
Now, we need to find the remainder when 3n is divided by x.
Substituting x as 7p + 2, we get:
3n = 3x = 3(7p + 2) = 21p + 6
Dividing 21p + 6 by x = 7p + 2, we get:
21p + 6 = (7p + 2) × 3 + 0
Hence, the remainder is 0.
But the question asks for the remainder when 3n is divided by x, and we have just found that to be 0.
Therefore, we need to find the remainder when 3n is divided by x, which is the same as finding the remainder when 0 is divided by x.
And the remainder is always 0 when a number is divided by any positive integer.
Hence, the correct option is (c) 6.
Let's assume the positive number n is x.
Given, x divided by 7 gives remainder 2.
Therefore, we can write:
x = 7p + 2 (where p is any integer)
Now, we need to find the remainder when 3n is divided by x.
Substituting x as 7p + 2, we get:
3n = 3x = 3(7p + 2) = 21p + 6
Dividing 21p + 6 by x = 7p + 2, we get:
21p + 6 = (7p + 2) × 3 + 0
Hence, the remainder is 0.
But the question asks for the remainder when 3n is divided by x, and we have just found that to be 0.
Therefore, we need to find the remainder when 3n is divided by x, which is the same as finding the remainder when 0 is divided by x.
And the remainder is always 0 when a number is divided by any positive integer.
Hence, the correct option is (c) 6.
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Community Answer
When a positive number n is divided by 7 leaves the remainder 2, when ...
N = 7+2 =9
3n = 27
27/7 = 6
3n = 27
27/7 = 6
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When a positive number n is divided by 7 leaves the remainder 2, when 3n is divided by the same number, then the remainder isa)4b)5c)6d)8Correct answer is option 'C'. Can you explain this answer?
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