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07 Sep 2018, 01:17
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D
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Difficulty:
35%
(medium)
Question Stats:
66% (01:08) correct
34%
(01:24)
wrong
based on 110
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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
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
07 Sep 2018, 03:08
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MathRevolution
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 Y
0 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
07 Sep 2018, 07:59
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MathRevolution
Target question: What is the value of the 2-digit positive integer n
Given: Its tens digit is four times its units digit
This is VERY LIMITING information.
In fact, this tells us that EITHER n = 41 OR n = 82
There are no other possible values of n.
Statement 1: n is an even number
We already know that n is either 41 or 82
So, statement 1 tells us that n must equal 82
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: The units digit of n is greater than 1
We already know that n is either 41 or 82
So, statement 2 tells us that n must equal 82
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer: D
Cheers,
Brent
