Maths Olympiad Prep

Track / Stage 4 / 10 of 340 #270 of 1964

Problem 270

AMC 12 late, AIME early
Algebra Difficulty 4.5 Find the answer

5. What is the value of 201×77×102201 \times 7-7 \times 102 ?
A 142800
B 793
C 693
D 607
E 0

This one wants a proof. Work it on paper, then read the official solution and mark yourself. Be honest about it: the record is only any use to you if it is.

Official solution

None

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