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2010/11 AHSMC Part 1 Problem 1

Problem 1 of 16

The number of positive integers nn such that the number 4n4n has exactly two digits is

Answer choices

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Solution

Since 10≤4n≤9910 \le 4n \le 99, 3≤n≤243 \le n \le 24. Hence there are 24−3+1=2224 - 3 + 1 = 22 such values. The answer is (B).