1987 AHSME Problems/Problem 3

Problem

How many primes less than $100$ have $7$ as the ones digit? (Assume the usual base ten representation)

$\text{(A)} \ 4 \qquad \text{(B)} \ 5 \qquad \text{(C)} \ 6 \qquad \text{(D)} \ 7 \qquad \text{(E)} \ 8$

Solution

List out all numbers that have 7 as the ones digit less than 100: ${7, 17, 27, 37, 47, 57, 67, 77, 87, 97}$ . Only $7, 17,37, 47,67,$ and $97$ are prime. Thus, it is $\boxed{C}$ . -slackroadia

1987 AHSME (Problems • Answer Key • Resources)
Preceded by Problem 2	Followed by Problem 4
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1987 AHSME Problems/Problem 3

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