ACT Math Question

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<p>I don't get 1 question: number 52 on the math section. Please explain too.</p>

<p>sooo im guessing no one else gets the problem? If you don’t, please say so, that way I don’t feel alone lmao.</p>

<p>I believe the answer is J. </p>

<p>It says M & N are consecutive integers, so just pick two consecutive integers to try all the options with. I used 2 for m & 3 for n. </p>

<p>F is not true. M=2 and N=3 meets the necessary criteria, but M is not odd. Since it needs be true for any two numbers, it can’t be A.
G is not true for the same reason.
3(n) - 2(m) is 1… Which is not even. Therefore H is not true.
N^2 - m^2, or 9-4 is 5. 5 is odd, so J is a possibility.
M^2 + n^2, or 4 + 9, is 13. 13 is odd, so cross K off. </p>

<p>Since J is the only one that works for 3 & 2, you don’t need to try other combinations. The answer ks J.</p>

<p>but can’t you say that 4 and 6 are consecutive integers? sayyy, 0 2 4 6 8…</p>

<p>Then n=6 and m=4</p>

<p>6^2 - 4^2= 20. </p>

<p>20 is not an odd number. </p>

<p>But I see what you’re saying. I just think this is badly worded. ORRR does a consecutive integer mean 1 number after the other? for example, 5 and or 7 and 8. </p>

<p>BTW, J is the correct answer.</p>

<p>Consecutive numbers in mathematics always mean that the difference between them is 1.</p>

<p>And the answer is clearly J, just pick small numbers, say 3 and 4 and produce counterexamples. f) and g) is clearly out of the question, simply because they are saying “for all consecutive numbers”, h) is wrong because of the definition I’ve written above (the difference is always 1), for k) you can quickly produce a counterexample using 1² + 2² = 5.</p>

<p>WOWOWOW, i was thinking of arithmetic sequence. Thanks a lot killparis.</p>

<p>The answer is J. I used 14 and 15 as m and n consecutively and just plugged in for each answer choice.</p>