The given question is GMAT 650 level data sufficiency question testing concepts in number properties and number systems. A very interesting GMAT practice question to understand place value and face value of numbers.

Question 20: x is a two-digit positive integer. y is obtained by multiplying the tens place of x by 2. Is y > \\frac{x}{6})?

**Statement 1**: 20 < x < 30

**Statement 2**: y = 10

@ INR

Is y > \\frac{x}{6})?

We can rewrite the question as "Is 6y > 6?"

**Statement 1**: 20 < x < 30

x takes values from 21 to 29.

For all these values of x, y = 2 × 2 = 4. So, 6y = 24

**Approach**: Counter Example

__Example__: x = 21, 6y is greater than x. Answer: **Yes**

__Counter example__: x = 25, 6y is not greater than x. Answer: **No**

Answer to the question "Is 6y > x?" is **sometimes YES and sometimes NO**.

We are not able to find a conclusive answer to the question using statement 1 ALONE.

Statement 1 alone is NOT Sufficient.

__Eliminate answer options A and D__.

**Statement 2**: y = 10

So, the tens place of x is 5.

Values that x can take are 50 ≤ x ≤ 59

Because y = 10, 6y = 60

For all values of x in the range 50 ≤ x ≤ 59, 6y > x

The answer to the question "Is 6y > x?" is a conclusive YES.

We are able to answer the question a definite YES using statement 2 ALONE.

Statement 2 AlONE is Sufficient.

__Eliminate answer options C and E__.

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