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## What is the units digit of x?

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#### What is the units digit of x?

Tue Dec 05, 2017 6:35 am
What is the units digit of x?

(1) $$\frac{x}{5^a2^b3^c}=k$$, where k is an integer.

(2) a = 2, b = 3, and c = 4

Can some experts identify the correct statement?

OA C

### GMAT/MBA Expert

DavidG@VeritasPrep Legendary Member
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Tue Dec 05, 2017 7:57 am
lheiannie07 wrote:
What is the units digit of x?

(1) $$\frac{x}{5^a2^b3^c}=k$$, where k is an integer.

(2) a = 2, b = 3, and c = 4

Can some experts identify the correct statement?

OA C
Statement 1 -
If a = b = c = 0, then x = k, so x and k can be integer we want. Not sufficient.

Statement 2 -

Together: If $$x/(5^2 * 2^3 * 3^4) = k$$, and k is an integer, then we know that x will have to be a multiple of 5^2 * 2^3 * 3^4. Any number that contains 2*5 as part of its prime factorization will be a multiple of 10, and thus end in 0. Because we know that x will end in 0, the statements together are sufficient. The answer is C

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