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What is the value of the 2-digit positive integer n if its tens digit

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What is the value of the 2-digit positive integer n if its tens digit  [#permalink]

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New post 07 Sep 2018, 00:17
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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

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Re: What is the value of the 2-digit positive integer n if its tens digit  [#permalink]

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New post 07 Sep 2018, 02:08
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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 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
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Re: What is the value of the 2-digit positive integer n if its tens digit  [#permalink]

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New post 07 Sep 2018, 06:59
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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


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
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What is the value of the 2-digit positive integer n if its tens digit  [#permalink]

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New post 07 Sep 2018, 20:34
GmatDaddy wrote:
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 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


Question says positive Integer.
0 is neither +ve nor -Ve so case 1 will not be considered at all.
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Re: What is the value of the 2-digit positive integer n if its tens digit  [#permalink]

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New post 09 Sep 2018, 17:25
=>

Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.

The first step of the VA (Variable Approach) method is to modify the original condition and the question. We then recheck the question.

The only positive two-digit integers n satisfying the original condition are 82 and 41.

Condition 1) is sufficient since 82 is the only one of these integers that is even.
Condition 2) is also sufficient, since 82 the only one of these integers with a units digit that is greater than 1.
Therefore, D is the answer.

Answer: D
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Re: What is the value of the 2-digit positive integer n if its tens digit &nbs [#permalink] 09 Sep 2018, 17:25
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What is the value of the 2-digit positive integer n if its tens digit

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