MathDB

12

Part of 2022 MIG

Problems(2)

2022 A Individual #12

Source:

4/28/2022
For a certain value of xx, the sum of the digits of 10x−10010^x - 100 is equal to 4545. What is xx?
<spanclass=′latex−bold′>(A)</span>4<spanclass=′latex−bold′>(B)</span>5<spanclass=′latex−bold′>(C)</span>6<spanclass=′latex−bold′>(D)</span>7<spanclass=′latex−bold′>(E)</span>8<span class='latex-bold'>(A) </span>4\qquad<span class='latex-bold'>(B) </span>5\qquad<span class='latex-bold'>(C) </span>6\qquad<span class='latex-bold'>(D) </span>7\qquad<span class='latex-bold'>(E) </span>8
2022 A Individual
2022 B Individual #12

Source:

4/30/2022
Out of a sample of 100100 people, 2424 do not like red or blue, 4040 like both red and blue, and 5050 people like red. How many people like blue but not red? <spanclass=′latex−bold′>(A)</span>24<spanclass=′latex−bold′>(B)</span>26<spanclass=′latex−bold′>(C)</span>48<spanclass=′latex−bold′>(D)</span>64<spanclass=′latex−bold′>(E)</span>76<span class='latex-bold'>(A) </span>24\qquad<span class='latex-bold'>(B) </span>26\qquad<span class='latex-bold'>(C) </span>48\qquad<span class='latex-bold'>(D) </span>64\qquad<span class='latex-bold'>(E) </span>76
2022 B Individual