1967 AHSME Problems/Problem 22

Problem

For natural numbers, when $P$ is divided by $D$ , the quotient is $Q$ and the remainder is $R$ . When $Q$ is divided by $D'$ , the quotient is $Q'$ and the remainder is $R'$ . Then, when $P$ is divided by $DD'$ , the remainder is:

$\textbf{(A)}\ R+R'D\qquad \textbf{(B)}\ R'+RD\qquad \textbf{(C)}\ RR'\qquad \textbf{(D)}\ R\qquad \textbf{(E)}\ R'$

Solution

$\fbox{A}$

1967 AHSME (Problems • Answer Key • Resources)
Preceded by Problem 21	Followed by Problem 23
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30
All AHSME Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.

Page

Toolbox

Search

1967 AHSME Problems/Problem 22

Problem

Solution

See also