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x/5 and x/6
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17 Feb 2022, 08:30
17 Feb 2022, 08:30
Expert Reply
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Question Stats:
91% (00:42) correct
8% (00:44) wrong based on 37 sessions
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\(x\) is a positive integer.
\(\frac{x}{5}\) and \(\frac{x}{6}\) are both positive integers.
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.
\(\frac{x}{5}\) and \(\frac{x}{6}\) are both positive integers.
Quantity A |
Quantity B |
The remainder when \(x\) is divided by 2 |
1 |
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.
Re: x/5 and x/6
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17 Feb 2022, 11:37
17 Feb 2022, 11:37
1
Carcass wrote:
\(x\) is a positive integer.
\(\frac{x}{5}\) and \(\frac{x}{6}\) are both positive integers.
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.
\(\frac{x}{5}\) and \(\frac{x}{6}\) are both positive integers.
Quantity A |
Quantity B |
The remainder when \(x\) is divided by 2 |
1 |
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.
Since \(\frac{x}{5}\) and \(\frac{x}{6}\) are both positive integers, x needs to be a multiple of 30. Now when 30 is divided by 2 there will not be any reminder
Ans is B
x/5 and x/6
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08 Sep 2023, 12:03
08 Sep 2023, 12:03
1
If X/5 and X/6 are positive integers, it implies that the very least common multiple of both is 30.
A good shortcut to remember is that the only possible remainders when a number is divided by 2 are 0 and 1. 0 when the number is even and 1 when it is odd. Hence since all the possible multiples of 5 and 6 are even (30,60,90 etc) then it means that our answer must be 0 which is less than Qty B -1
Ans B
A good shortcut to remember is that the only possible remainders when a number is divided by 2 are 0 and 1. 0 when the number is even and 1 when it is odd. Hence since all the possible multiples of 5 and 6 are even (30,60,90 etc) then it means that our answer must be 0 which is less than Qty B -1
Ans B
