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If we divide the unknown two-digit number by the number consisting of the same digits written in the reverse order, we get 4 as quotient and 3 as remainder. If we divide the required number by sum of its digits, we get 8 as a quotient and 7 as a remainder. Find the number?

a) 81
b) 91
c) 71
d) 72

Answer: c
Explanation: Go through the options one by one,
Checking option (c);
$$\frac{{71}}{{17}}$$ = 4 quotient and remainder 3.
$$\frac{{71}}{8}$$ = 8 quotient and remainder 7 as remainder.

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