which 4 digit number multiplied by 4 gives the same number in reverse ?
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8712 is the reverse of 2178. Since it's 4 Digit
Number and since after multiplication also it has to be a 4 Digit Number, it's easy to see that the Number has to be less than 2500 since 2500 * 4 = 10000. The Number also can't be starting with 1, as any Number when multiplied by 4, can't result into an odd number.
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