Question

The digits $1, 2, 3, 4,$ and $9$ are each used once to form the smallest possible even five-digit number. The digit in the tens place is

$1$

$2$

$3$

$4$

$9$

Answer: E

Concepts:place value optimization

Difficulty rating: 720

Solution:

The units digit must be $2$ or $4$ . If it is $2$ , arranging the remaining digits as small as possible gives $13492$ . If it is $4$ , the smallest arrangement is $12394$ , which is smaller. Therefore the smallest even number is $12394$ , whose tens digit is $9$ .

Thus, E is the correct answer.

2001 AMC 8 Problem 4

Answer: E

Difficulty rating: 720

Solution:

Problem 4 in Other Years