1990 AJHSME Problems/Problem 10: Difference between revisions
Tag: Blanking |
Caroline2023 (talk | contribs) No edit summary |
||
| Line 1: | Line 1: | ||
On this monthly calendar, the date behind one of the letters is added to the date behind <math>\text{C}</math>. If this sum equals the sum of the dates behind <math>\text{A}</math> and <math>\text{B}</math>, then the letter is | |||
<asy> | |||
unitsize(12); | |||
draw((1,1)--(23,1)); | |||
draw((0,5)--(23,5)); | |||
draw((0,9)--(23,9)); | |||
draw((0,13)--(23,13)); | |||
for(int a=0; a<6; ++a) | |||
{ | |||
draw((4a+2,0)--(4a+2,14)); | |||
} | |||
label("Tues.",(4,14),N); label("Wed.",(8,14),N); label("Thurs.",(12,14),N); | |||
label("Fri.",(16,14),N); label("Sat.",(20,14),N); | |||
label("C",(12,10.3),N); label("$\textbf{A}$",(16,10.3),N); label("Q",(12,6.3),N); | |||
label("S",(4,2.3),N); label("$\textbf{B}$",(8,2.3),N); label("P",(12,2.3),N); | |||
label("T",(16,2.3),N); label("R",(20,2.3),N); | |||
</asy> | |||
<math>\text{(A)}\ \text{P} \qquad \text{(B)}\ \text{Q} \qquad \text{(C)}\ \text{R} \qquad \text{(D)}\ \text{S} \qquad \text{(E)}\ \text{T}</math> | |||
Revision as of 09:44, 8 September 2019
On this monthly calendar, the date behind one of the letters is added to the date behind 
. If this sum equals the sum of the dates behind 
and 
, then the letter is
![[asy] unitsize(12); draw((1,1)--(23,1)); draw((0,5)--(23,5)); draw((0,9)--(23,9)); draw((0,13)--(23,13)); for(int a=0; a<6; ++a) { draw((4a+2,0)--(4a+2,14)); } label("Tues.",(4,14),N); label("Wed.",(8,14),N); label("Thurs.",(12,14),N); label("Fri.",(16,14),N); label("Sat.",(20,14),N); label("C",(12,10.3),N); label("$\textbf{A}$",(16,10.3),N); label("Q",(12,6.3),N); label("S",(4,2.3),N); label("$\textbf{B}$",(8,2.3),N); label("P",(12,2.3),N); label("T",(16,2.3),N); label("R",(20,2.3),N); [/asy]](http://latex.artofproblemsolving.com/5/4/f/54ffff421c76ca2c5e63c918ddd6069e68ded4f7.png)
