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IMSO 2007 Mathematics — Taiwan Second Round Short Answer (20 Questions) Question 16

IMSO Maths · IMSO 2007 Mathematics — Taiwan Second Round Short Answer (20 Questions)

Question 16

A teacher asked Garfield to calculate five 10-digit perfect square numbers. After a lot of arithmetic, Garfield turned in a list of the following five numbers (see below), but he made two mistakes. First, he spilled milk on the paper so that the middle six digits of each number were impossible to read. Second, he made an error in calculating one of the five numbers and that number is not a perfect square. Don’t cry over spilled milk, but determine which of these five 10-digit numbers is NOT a perfect square.

The original covered choices A–E are preserved in the figure. The visible final two digits are A: 84, B: 41, C: 46, D: 36, E: 89; the concealed digits are not supplied.

Question illustration