1970 AHSME Problems/Problem 31

Problem

If a number is selected at random from the set of all five-digit numbers in which the sum of the digits is equal to 43, what is the probability that this number will be divisible by 11?

$\text{(A) } \frac{2}{5}\quad \text{(B) } \frac{1}{5}\quad \text{(C) } \frac{1}{6}\quad \text{(D) } \frac{1}{11}\quad \text{(E) } \frac{1}{15}$

Solution

$\fbox{B}$

1970 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 30	Followed by Problem 32
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1970 AHSME Problems/Problem 31

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