Difference between revisions of "DMC Mock AMC 10"

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===Problem 1===
 
  
Compute the value of <math>8\left(\frac{2}{13}+\frac{2}{15}\right)+2\left(\frac{5}{13}+\frac{7}{15}\right)</math>
 
 
<math>\textbf{(A)}\ \frac{40}{13}\qquad\textbf{(B)}\ 2\qquad\textbf{(C)}\ 4\qquad\textbf{(D)}\ \frac{72}{65}\qquad\textbf{(E)}\ \frac{52}{15}</math>
 
 
[[2024 DMC Mock 10 Problems/Problem 1|Solution]]
 
 
===Problem 2===
 
 
Since Branden Kim is the paragon of all human emotion, he is most resplendent in love and accolades. Who is Branden Kim? For the blind, he is their vision. For the starving, he is their nourishment. For the thirsty, he is their water. For the depressed, he is their happiness. For the oppressed, he is their salvation. He will stand up to fight all injustice. Even though he is only one hundred fifty centimeters tall, he is the champion who blocks all injustice. If Branden Kim has one million fans, I am one of them. If Branden Kim has a hundred fans, I am one of them. If Branden Kim only has one fan, then that is me. If Branden Kim has no fans, I no longer exist. If the world is for Branden Kim, I am for the world. If the world is against Branden Kim, I am against the world. That being said, please, with all due respect, tell me how close the great Branden Kim is to the heavens in meters, assuming the heavens are <math>1000</math> meters off the ground.
 
 
<math>\textbf{(A)}\ 850\qquad\textbf{(B)}\ 9885\qquad\textbf{(C)}\ 9985\qquad\textbf{(D)}\ 985\qquad\textbf{(E)}\ 998.5</math>
 
 
[[2024 DMC Mock 10 Problems/Problem 2|Solution]]
 
 
===Problem 3===
 
 
It takes <math>15</math> minutes for Alice to deliver a cake. If Alice needs to deliver <math>10</math> cakes and she starts delivering cakes at <math>1:00</math>, what time will she finish?
 
 
<math>\textbf{(A)}\ 1:30\qquad\textbf{(B)}\ 2:30\qquad\textbf{(C)}\ 2:50\qquad\textbf{(D)}\ 3:15\qquad\textbf{(E)}\ 3:30</math>
 
 
[[2024 DMC Mock 10 Problems/Problem 3|Solution]]
 

Latest revision as of 22:09, 16 September 2024