MathDB
Integers indivisible by both 5 and 7

Source: 1966 AHSME #29

August 31, 2011
floor functionAMC

Problem Statement

The number of postive integers less than 10001000 divisible by neither 55 nor 77 is:
(A) 688(B) 686(C) 684(D) 658(E) 630\text{(A)}\ 688 \qquad \text{(B)}\ 686\qquad \text{(C)}\ 684 \qquad \text{(D)}\ 658\qquad \text{(E)}\ 630