MathRevolution wrote:
[
Math Revolution GMAT math practice question]
What is the value of the 2-digit positive integer n if its tens digit is four times its units digit?
1) n is an even number
2) The units digit of n is greater than 1
Two digit positive integer will be of the form 10x+y, where both x, are single digit integers(ofcourse x can not be equal to 0)
Lets analyse the argument:
\(x=4*y\)
X Y0 0- case 1
4 1- Case 2
8 2- Case 3
Case 1 is out of scope since, it will practically result to 0, which is not a 2 digit number.
Hence, There are only 2 cases possible cases, two possible pairs of x,y: (4,1) & (8,2)
Statement 1: n is an even number
this means y is even.
Thus Y is 2 and our number is 82.
Sufficient.Statement 2:The units digit of n is greater than 1
This again leaves us with only 1 possible case.
y=2. Hence our number is 82.
Sufficient.Answer: D