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GMAT Problem Solving (PS) | Re: The number 523abc

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gauravkaushik8591 wrote:

Bunuel wrote:
jade3 wrote:
The number 523abc is divisible by 7,8,9. Then what is the value of a*b*c

A. 504
B. 532
C. 210
D. 180
E. 280


LCM of 7, 8 and 9 is 504, thus 523abc must be divisible by 504.

523abc=523000+abc.
523000 divided by 504 gives a remainder of 352.
Hence, 352+abc=k*504.

k=1 abc=152 --> a*b*c=10.
k=2 abc=656 --> a*b*c=180.
As abc is three digit number k can not be more than 2.

Two answers? Well only one is listed in answer choices, so D.

Answer: D.


I have a doubt Bunuel. Wouldn't that be equal

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