MathDB

19

Part of 2019 AMC 10

Problems(2)

Least possible value

Source: 2019 AMC 10A #19

2/8/2019
What is the least possible value of (x+1)(x+2)(x+3)(x+4)+2019(x+1)(x+2)(x+3)(x+4)+2019where xx is a real number?
<spanclass=′latex−bold′>(A)</span>2017<spanclass=′latex−bold′>(B)</span>2018<spanclass=′latex−bold′>(C)</span>2019<spanclass=′latex−bold′>(D)</span>2020<spanclass=′latex−bold′>(E)</span>2021<span class='latex-bold'>(A) </span> 2017 \qquad<span class='latex-bold'>(B) </span> 2018 \qquad<span class='latex-bold'>(C) </span> 2019 \qquad<span class='latex-bold'>(D) </span> 2020 \qquad<span class='latex-bold'>(E) </span> 2021
AMC 102019 AMC 10A2019 AMCAMCalgebra
Troll factors

Source: 2019 AMC 12B #14

2/14/2019
Let SS be the set of all positive integer divisors of 100,000.100,000. How many numbers are the product of two distinct elements of S?S?
<spanclass=′latex−bold′>(A)</span>98<spanclass=′latex−bold′>(B)</span>100<spanclass=′latex−bold′>(C)</span>117<spanclass=′latex−bold′>(D)</span>119<spanclass=′latex−bold′>(E)</span>121<span class='latex-bold'>(A) </span>98\qquad<span class='latex-bold'>(B) </span>100\qquad<span class='latex-bold'>(C) </span>117\qquad<span class='latex-bold'>(D) </span>119\qquad<span class='latex-bold'>(E) </span>121
2019 AMC 12B2019 AMCAMCAMC 12Divisors2019 AMC 10BAMC 10