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
When one positive integer is divided by another, we typically represent what's left over either as a REMAINDER or as a DECIMAL.
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.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at
[email protected].
Student Review #1
Student Review #2
Student Review #3
