SAT Math Help!

<p>Question:
Which of the following is the smallest integer that has a remainder of 1 when it is divided by 2, 3, 4, 5, 6, and 7?</p>

<p>By the way, this is a grid-in problem. Thanks!</p>

<p>5041?</p>

<p>10char</p>

<p>It should be 421, unless I’m doing something really silly…</p>

<p>How did you get 421 lidusha?</p>

<p>

This doesn’t make sense. If it was a grid-in, why does it have “which of the following”?</p>

<p>It was just a typo :stuck_out_tongue: My bad…</p>

<p>^Oh ok, I thought the problem was flawed, lol.</p>

<p>LCM
10 char</p>

<p>The answer’s 421, but I don’t get why it’s 421. I’d really appreciate it if someone could explain.</p>

<p>I looked at the list of numbers (2, 3, 4, 5, 6, and 7) and noticed that 2, 3, 5, and 7 are prime numbers, while 4 and 6 can be made by multiplying the others together. So I multiplied 2, 3, 5, and 7 and got 210. However, I can’t divide 210 by 4, so I multiplied it by 2 to get 420. 420 is divisible by all the numbers on the list. Then I added 1 to satisfy the remainder part of the question, and got 421.</p>

<p>It’s the LCM of those numbers (which is 420), plus 1.</p>

<p>Thanks lidusha! And congrats on getting 2360 on the SAT :)</p>

<p>are we allowed to post actual SAT math questions on this site? And, does College Board stop all websites/blogs/tweets,etc. from posting actual questions?</p>

<p>^That is allowed.</p>