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When positive integer m is divided by positive integer n, the remainder is 12. If m/n = 24.2, what is the value of n ?
- a)120
- b)60
- c)30
- d)24
- e)12
Correct answer is option 'B'. Can you explain this answer?
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When positive integer m is divided by positive integer n, the remainde...
To find the value of n, we can use the remainder formula. According to the formula, when a positive integer m is divided by a positive integer n, the division can be expressed as m/n = Q + r/n, where Q is the quotient and r is the remainder.
In this problem, we are given that the remainder when m is divided by n is 12. Therefore, we can write the equation as m/n = Q + 12/n.
We are also given that m/n = 24.2. By rewriting 24.2 as a mixed fraction, we have m/n = 24 + 2/10, which can be simplified to m/n = 24 + 1/5.
Since the quotient Q must be an integer, we can determine that Q is 24. Thus, the remainder 12/n must be equivalent to 1/5.
Setting up the equation 12/n = 1/5, we can solve for n:
Cross-multiplying, we get 12 * 5 = n * 1, which simplifies to 60 = n.
Therefore, the value of n is 60, which corresponds to option B.
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When positive integer m is divided by positive integer n, the remainder is 12. If m/n = 24.2, what is the value of n ?a)120b)60c)30d)24e)12Correct answer is option 'B'. Can you explain this answer?
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