MathRevolution wrote:

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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
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~R.

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