For positive integers x and y, x/y=94.35. Which of the following could not be the remainder when x is divided by y?
A. 14
B. 15
C. 35
D. 70
E. 105
Source : Veritas Prep
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For positive integers x and y, x/y=94.35. Which of the follo
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hazelnut01
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Hi ziyuenlau,
From we wording of the prompt, we know that 4 of the answers COULD be the remainder, so one way to approach this prompt is to find the 4 answers that are possible remainders - and the fifth one is the one that is not. I'm going to start you off on this question so that you can finish it on your own:
We're told that X and Y are POSITIVE INTEGERS and that X/Y = 94.35
Thus, X and Y could be...
X = 9435
Y = 100
In this example, 9435/100 = 94 remainder 35... so 35 could be the remainder.
By increasing/decreasing the relative values of X and Y, you should be able to find the other 3 possible remainders. What would happen if you divided those two values by 5? What would happen if you multiplied those two values by 2? Etc.
GMAT assassins aren't born, they're made,
Rich
From we wording of the prompt, we know that 4 of the answers COULD be the remainder, so one way to approach this prompt is to find the 4 answers that are possible remainders - and the fifth one is the one that is not. I'm going to start you off on this question so that you can finish it on your own:
We're told that X and Y are POSITIVE INTEGERS and that X/Y = 94.35
Thus, X and Y could be...
X = 9435
Y = 100
In this example, 9435/100 = 94 remainder 35... so 35 could be the remainder.
By increasing/decreasing the relative values of X and Y, you should be able to find the other 3 possible remainders. What would happen if you divided those two values by 5? What would happen if you multiplied those two values by 2? Etc.
GMAT assassins aren't born, they're made,
Rich
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Jay@ManhattanReview
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We are given that x/y = 94.35. Thus, we have,ziyuenlau wrote:For positive integers x and y, x/y=94.35. Which of the following could not be the remainder when x is divided by y?
A. 14
B. 15
C. 35
D. 70
E. 105
Source : Veritas Prep
x/y = 95.35
x/y = 9535/100
x/y = 99 + 7/20
We see that the remainder must be a multiple of 7. The only option that is not a multiple of 7 is 15.
The correct answer: B
Hope this helps!
Relevant book: Manhattan Review GMAT Math Essentials Guide
-Jay
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GMATGuruNY
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When one positive integer is divided by another, we typically represent what's left over either as a REMAINDER or as a DECIMAL.ziyuenlau wrote:For positive integers x and y, x/y=94.35. Which of the following could not be the remainder when x is divided by y?
A. 14
B. 15
C. 35
D. 70
E. 105
Source : Veritas Prep
There is a relationship between the two representations:
Remainder/Divisor = Decimal.
When 5 is divided by 2:
Remainder representation: 5/2 = 2 R1.
Decimal representations: 5/2 = 2.5.
Remainder/Divisor = 1/2.
Decimal = .5.
Since the two values are equal:
Remainder/divisor = decimal.
Strategy:
Rephrase the decimal AS A FRACTION IN ITS MOST REDUCED FORM.
In the problem above:
Remainder = r.
Divisor = y.
Decimal = 0.35 = 35/100 = 7/20.
Plugging these values into remainder/divisor = decimal, we get:
r/y = 7/20.
The resulting ratio indicates that r must be a MULTIPLE OF 7 and that y must be a multiple of 20.
Of the five answer choices, only B is not a multiple of 7.
The correct answer is B.
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Jeff@TargetTestPrep
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This problem will be best solved using the remainder formula. Let's first state the remainder formula:ziyuenlau wrote:For positive integers x and y, x/y=94.35. Which of the following could not be the remainder when x is divided by y?
A. 14
B. 15
C. 35
D. 70
E. 105
When positive integer x is divided by positive integer y, if integer Q is the quotient and r is the remainder, then x/y = Q + r/y.
We are given that x/y = 94.35. Using the remainder formula, we can say:
x/y = 94.35
x/y = 94 + 35/100
x/y = 94 + 7/20
We see that we now can equate 7/20 to r/y:
7/20 = r/y
We see that the remainder must be a multiple of 7. The only answer choice that is not a multiple of 7 is 15.
Answer: B
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