ranvijay87 wrote:When positive integer m is divided by positive integer n , the remainder is 12.if m/n = 24.2
,what is the value of n?
a.120
b.60
c.30
d.24
e.12
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.
It can be helpful to write the decimal representation AS A FRACTION IN ITS MOST REDUCED FORM.
In the problem above:
Remainder = 12.
Divisor = n.
Decimal = .2 = 2/10 = 1/5.
Plugging these values into
remainder/divisor = decimal, we get:
12/n = 1/5
n = 60.
The correct answer is
B.
Last edited by
GMATGuruNY on Wed Jan 04, 2012 5:37 am, edited 1 time in total.
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