There are 24 four-digit whole numbers that use each of four digits 2,4,5,7 exactly once.Only one of these four digit number is a multiple of another one.What number is it?
The smallest possibility for the larger number is $2457.2=4914$. That mean the first digit can only be $5$ or $7$
Because $2457.4=9828>7542>2457.3$ ($7542$ the greatest numer possible) so the dividend is no more than $3$
$\Rightarrow 7$ is impossible for the last digit.
Try these cases : 
$5274 \hspace{0,8cm} 5472 \hspace{0,8cm} 5742 \hspace{0,8cm} 5724 \hspace{0,8cm} 7245 \hspace{0,8cm} 7254 \hspace{0,8cm} 7452 \hspace{0,8cm} 7425 \hspace{0,8cm} 7524 \hspace{0,8cm} 7542$
We can easily find ${7425=3.2475}$
 So $\color{red}{7425}$ is the answer


mặc dù ngữ pháp hơi trật chút nhưng ok –  ๖ۣۜJinღ๖ۣۜKaido 03-08-16 01:54 PM
cái này bình thường mà e :)) –  tran85295 03-08-16 12:59 PM
kakka...mới biết ông anh giỏi TA.... –  ๖ۣۜJinღ๖ۣۜKaido 08-11-15 03:47 PM

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