Maths Olympiad Prep

Track / Stage 4 / 7 of 340 #267 of 1964

Problem 267

AMC 12 late, AIME early
Number theory Difficulty 4.4 Find the answer

8. How many two-digit squares differ by 1 from a multiple of 10 ?
A 1
B 2
C 3
D 4
E 5

Multiple choice: answer with the letter of the option you want.

Official solution

8. B The two-digit squares are 16,25,36,49,6416,25,36,49,64 and 81 . Of these, only 49 and 81 differ by 1 from a multiple of 10 .

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.