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A = N 100X Y, where N is a three digit number with X as its hu
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17 Jul 2024, 22:04
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A = N – 100X – Y, where ‘N’ is a three digit number with ‘X’ as its hundreds digit and ‘Y’ as its units digit. A must be divisible by which of the following numbers?
Re: A = N 100X Y, where N is a three digit number with X as its hu
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08 Dec 2024, 01:12
Expert Reply
We know $\(\mathrm{A}=\mathrm{N}-100 \mathrm{X}-\mathrm{Y}\)$, where ' N ' is a three digit number with ' X ' as its hundreds digit \& ' $\(Y\)$ ' as its units digit.
We have $\(N=X Z Y\)$, where we have taken Z as the tens digit of N
We get $\(A=N-100 X-Y=X Z Y-100 X-Y=100 X+10 Z+Y-100 X-Y=10 Z\)$ which is a multiple of 10 .
A must be divisible by 5
C is the answer
gmatclubot
Re: A = N 100X Y, where N is a three digit number with X as its hu [#permalink]