Math Question

Test Preparation SAT Preparation
1

<p>The integer n is equal to k^2 for some integer k. If n is divisible by 24 and by 10, what is the smallest possible positive value of n? </p>

<p>Is there any way I can solve this quickly? Or it's just a type of "trial and error" question?</p>

2

<p>Think about prime factors: your number is a perfect square, so its prime factors have to come in pairs. And you need it to be divisible by 24 and 10, so you need it to have at least the prime factors of those numbers. Construct the smallest number that meets those requirements.</p>

<p>If that hint is not enough, do a google search of this forum. </p>

<p>Or look here:</p>

<p>[Algebra</a> math question??? - Yahoo! Answers](<a href=“Yahoo | Mail, Weather, Search, Politics, News, Finance, Sports & Videos”>http://■■■■■■■■■■■■■■■■■/question/index?qid=20111227210250AANkhLr)</p>

<p>(Yahoo answers gets so little love…)</p>

3

<p>@pckeller, thank you so much!</p>

4

<p>Actually, there is an even better source than Yahoo. And it is right here via googling this site:</p>

<p>Copy the question and then hit Google This Site</p>

<p>The integer n is equal to k^2 for some integer k. If n is divisible by 24 and by 10, what is the smallest possible positive value of n?</p>

<p><a href=“http://talk.collegeconfidential.com/sat-preparation/1397200-need-help-these-two-math-problems.html[/url]”>http://talk.collegeconfidential.com/sat-preparation/1397200-need-help-these-two-math-problems.html&lt;/a&gt;&lt;/p&gt;

<p><a href=“http://talk.collegeconfidential.com/sat-preparation/1265035-my-progress-thread-16.html[/url]”>http://talk.collegeconfidential.com/sat-preparation/1265035-my-progress-thread-16.html&lt;/a&gt;&lt;/p&gt;

<p>And those are only two examples of the result of the search. Here’s what I got in exchange of 10 secs of work:</p>

<p><a href=“The integer n is equal to k^2 for some integer k. If n is divisible by 24 and by 10, what is the site:talk.collegeconfidential.com[/url] - Google Search”>The integer n is equal to k^2 for some integer k. If n is divisible by 24 and by 10, what is the site:talk.collegeconfidential.com - Google Search;

5

<p>Oh, no question: you can find just about every blue book and released test question discussed here at CC multiple times. But I do like to google the text of the question outside of this forum as well – see what else is out there. And yahoo answers comes through with decent explanations surprisingly often. (Actually, I can’t explain why I have low expectations for yahoo. But I do…)</p>

6

<p>Jonathan Swift might be responsible for those low expectations. If you let Gulliver’s companions turn into a Modest Proposal! :)</p>

7

<p>Thank you guys!</p>