MathDB

1

Part of 2017 AMC 10

Problems(2)

Complicated Calculations

Source: 2017 AMC 10A #1

2/8/2017
What is the value of 2(2(2(2(2(2+1)+1)+1)+1)+1)+12(2(2(2(2(2+1)+1)+1)+1)+1)+1?
<spanclass=′latex−bold′>(A)</span>70<spanclass=′latex−bold′>(B)</span>97<spanclass=′latex−bold′>(C)</span>127<spanclass=′latex−bold′>(D)</span>159<spanclass=′latex−bold′>(E)</span>729<span class='latex-bold'>(A) </span> 70 \qquad <span class='latex-bold'>(B) </span> 97 \qquad <span class='latex-bold'>(C) </span> 127 \qquad <span class='latex-bold'>(D) </span> 159 \qquad <span class='latex-bold'>(E) </span> 729
AMCAMC 10AMC 10 A2017 AMC 10A
So what's the answer?!

Source: 2017 AMC 10B #1

2/16/2017
Mary thought of a positive two-digit number. She multiplied it by 33 and added 11.11. Then she switched the digits of the result, obtaining a number between 7171 and 7575, inclusive. What was Mary's number?
<spanclass=′latex−bold′>(A)</span> 11<spanclass=′latex−bold′>(B)</span> 12<spanclass=′latex−bold′>(C)</span> 13<spanclass=′latex−bold′>(D)</span> 14<spanclass=′latex−bold′>(E)</span> 15<span class='latex-bold'>(A)</span> \text{ 11} \qquad <span class='latex-bold'>(B)</span> \text{ 12} \qquad <span class='latex-bold'>(C)</span> \text{ 13} \qquad <span class='latex-bold'>(D)</span> \text{ 14} \qquad <span class='latex-bold'>(E)</span> \text{ 15}
AMCAMC 10AMC 10 B2017 AMC 10B