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AMC 12/AHSME
1966 AMC 12/AHSME
29
Integers indivisible by both 5 and 7
Integers indivisible by both 5 and 7
Source: 1966 AHSME #29
August 31, 2011
floor function
AMC
Problem Statement
The number of postive integers less than
1000
1000
1000
divisible by neither
5
5
5
nor
7
7
7
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
(A)
688
(B)
686
(C)
684
(D)
658
(E)
630
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