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The remainder when the positive integer m is divided by 7 is
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21 Apr 2018, 03:25
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The remainder when the positive integer m is divided by 7 is x. The remainder when m is divided by 14 is x + 7. Which one of the following could m equal?
Re: The remainder when the positive integer m is divided by 7 is
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21 Apr 2018, 22:08
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I used calculator to solve this problem. Divide all numbers with 14 and for whichever number the decimal has value greater that 0.5. That would be the answer. Hence B
Number should have 7+x remainder. When the remainder is exactly 7, the decimal would be 0.5. But as it is greater than 7, value should be greater than 0.5
Re: The remainder when the positive integer m is divided by 7 is
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08 Nov 2020, 01:29
The answer should be- B. Just divide each option both by 7 and 14. Then get the reminders and check their difference is 7! Here, 53 satisfies the condition. Therefore, the answer is B.
The remainder when the positive integer m is divided by 7 is
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31 Aug 2022, 04:53
Theory: Dividend = Divisor*Quotient + Remainder
Given that the remainder when the positive integer m is divided by 7 is x and the remainder when m is divided by 14 is x + 7. And we need to find which of the following could be the value of m
Let's solve the problem using Substitution
We will take each option choice and find out the remainder with 7 and 14 and see which one has remainder by 14, 7 greater than the remainder by 7.
(A) 45 45 when divided by 7 gives 3 remainder 45 when divided by 14 gives 3 remainder Clearly, Remainder by 14 is NOT 7 greater than Remainder by 7 => NOT POSSIBLE
(B) 53 53 when divided by 7 gives 4 remainder 53 when divided by 14 gives 11 remainder Clearly, Remainder by 14 IS 7 greater than Remainder by 7 => POSSIBLE In Test, we don't need to solve further, but I am solving to complete the solution.
(C) 72 72 when divided by 7 gives 2 remainder 72 when divided by 14 gives 2 remainder Clearly, Remainder by 14 is NOT 7 greater than Remainder by 7 => NOT POSSIBLE
(D) 85 85 when divided by 7 gives 1 remainder 85 when divided by 14 gives 1 remainder Clearly, Remainder by 14 is NOT 7 greater than Remainder by 7 => NOT POSSIBLE
(E) 100 100 when divided by 7 gives 2 remainder 45 when divided by 14 gives 2 remainder Clearly, Remainder by 14 is NOT 7 greater than Remainder by 7 => NOT POSSIBLE
So, Answer will be B Hope it helps!
Watch the following video to learn the Basics of Remainders