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If \(a,b,c, d\) are distinct even integers and \(a\) is prime, is the four digit number \(abcd\) divisible by \(8?\)

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by Vincen » Fri Jul 10, 2020 3:10 am

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If \(a,b,c, d\) are distinct even integers and \(a\) is prime, is the four digit number \(abcd\) divisible by \(8?\)

(1) The two-digit number \(ba\) is a multiple of \(21\) and \(40\) is a factor of the two-digit number \(cd.\)
(2) \(10\) is a divisor of the two-digit number \(bc\) and the product of \(ad\) is a perfect square.

[spoiler]OA=D[/spoiler]

Source: Princeton Review
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