Decimal Expression

[manik11]

If x and y are positive integers, does the decimal expression of X/Y have fewer than 5 distinct digits to the right of the decimal place?

(1) y is a prime digit.
(2) y is neither 3 nor 7.

OA : C

Hi Experts..Could you guys please show how statement 2 is insufficient?

[DavidG@VeritasPrep]

If x and y are positive integers, does the decimal expression of X/Y have fewer than 5 distinct digits to the right of the decimal place?

(1) y is a prime digit.
(2) y is neither 3 nor 7.

OA : C

Hi Experts..Could you guys please show how statement 2 is insufficient?

For statement 2, all we know is that we're dealing with positive integers and y is not 3 or 7.
Case 1: x = 1, y = 2. 1/2 = .5 The answer is YES we have fewer than 5 distinct integers to the right of the decimal.

Case 2: x = 1, y = 32 = .03125 Now the answer is NO, we don't have fewer than 5 distinct integers to the right of the decimal. (I'd be surprised if the GMAT actually asked us to work with such numbers, however.)

In any event, we can get a YES and a NO, so the statement is not sufficient.

[GMATGuruNY]

Hi Experts..Could you guys please show how statement 2 is insufficient?

Case 1: x/y = 1/2 = 0.5.
Here, x/y has fewer than 5 distinct digits to the the right of the decimal.
Case 2: x/y = 1/13 = 0.07692....
Here, x/y does NOT have fewer than 5 distinct digits to the right of the decimal.
INSUFFICIENT.

[Matt@VeritasPrep]

I typically just think of extreme numbers. Suppose x = 1 and y = 5. Then we have .2, so we have fewer than 5 digits. Now suppose x = 1 and y = 3747576777. Yuck! That will give us a lot of distinct digits, so we're set: S2 isn't sufficient.