I am a three-digit number. My hundreds digit is the square root of my tens digit, and my units digit is the product of my hundreds and tens digits. None of my digits are identical. What number am I?
248
Let the hundreds digit be H. The tens digit must be H² for H to be its square root. The units digit is H * H² = H³. Since the units digit must be a single digit (0-9) and digits cannot repeat, H must be 2. Thus, tens = 2² = 4, and units = 2³ = 8. The number is 248.
About this riddle
Math riddles hide a calculation inside a short story. Pull out the numbers, work out what is being asked, and watch for a trick such as a unit change.
Difficulty: Medium. More like this: Math riddles with answers or try Target 24 for a different kind of puzzle.
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