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The integer n is greater than or equal to 40. When the integ
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13 Aug 2020, 01:24
13 Aug 2020, 01:24
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69% (01:51) correct
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The integer n is greater than or equal to 40. When the integer n is divided by 28, the remainder is 12.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
KUDOS for the right solution and explanation
Quantity A |
Quantity B |
The remainder when \(2n\) is divided by 14 |
The remainder when \(3n\) is divided by 14 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
KUDOS for the right solution and explanation
Re: The integer n is greater than or equal to 40. When the integ
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13 Aug 2020, 23:52
13 Aug 2020, 23:52
Is there a short and easy way to this question? I actually divided each number to solve this one... I can see others have done this sum in much less time than i have....Pls help.
Re: The integer n is greater than or equal to 40. When the integ
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14 Aug 2020, 12:45
14 Aug 2020, 12:45
1
If n = 28k + 12, where k is some positive integer, then 2n = 56k + 24 and 3n = 84k + 36 (just multiply through by 2 and 3).
Divide 2n by 14 and you get 56k/14 + 24/14, simplify it to 4k + 1 + 10/14. (4k + 1) represents the whole part of the answer and 10 is the remainder.
Divide 3n by 14 and you get 84k/14 + 36/14, simplify it to 6k + 2 + 8/14. (6k + 2) represents the whole part of the answer and 8 is the remainder.
The remainder of 2n/14 is 10, which is greater than 8, the remainder of 3n/14. The answer is A.
Divide 2n by 14 and you get 56k/14 + 24/14, simplify it to 4k + 1 + 10/14. (4k + 1) represents the whole part of the answer and 10 is the remainder.
Divide 3n by 14 and you get 84k/14 + 36/14, simplify it to 6k + 2 + 8/14. (6k + 2) represents the whole part of the answer and 8 is the remainder.
The remainder of 2n/14 is 10, which is greater than 8, the remainder of 3n/14. The answer is A.
