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A telephone company needs to create a set of 3-digit area...

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A telephone company needs to create a set of 3-digit area...

by BTGmoderatorLU » Tue Dec 26, 2017 3:34 pm
A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 5, which can be repeated. If the product of the digits in the area code must be even, how many different codes can be created?

A. 20
B. 22
C. 24
D. 26
E. 30

The OA is D.

I'm really confused with this PS question. Experts, any suggestion? Thanks in advance.
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by GMATWisdom » Tue Dec 26, 2017 4:24 pm
LUANDATO wrote:A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 5, which can be repeated. If the product of the digits in the area code must be even, how many different codes can be created?

A. 20
B. 22
C. 24
D. 26
E. 30

The OA is D.

I'm really confused with this PS question. Experts, any suggestion? Thanks in advance.
the maximum number of three digit codes with three given digits 2,4,5 can be 3x3x3=27 out of which only one code 555 is odd. hence the even number of codes would be 27-1=26
Hence option D
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