If $x > 5,999$ , then the value of $\dfrac{2x}{5x+1}$ is closest to which of the following?

Correct answer marked below

\frac{2}{7}

\frac{2}{5}

Correct

\frac{12}{21}

\frac{12}{6}

\frac{12}{5}

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Comments

AviralJul 21

Wait, is the answer just 2/5 because the +1 becomes negligible? That seems too easy for a 500-level question.

RitikJul 23

Got it, thanks! I was trying to plug in random numbers and got confused.

AngelMay 12

I plugged in x = 6000 and got roughly 0.3999..., which matches 2/5. Took me a minute to realize I didn't need exact division.

Aniket3d ago

Why is 12/21 even a choice? Is it just 2/5 disguised? I don't see the trick.

Saijust now

12/21 simplifies to 4/7, not 2/5. It's a distractor for people who mess up the algebra.

ParthJul 3

This felt more like a logic/estimation question than divisibility. Is that normal for this category?

What this question tests

Your understanding of divisibility rules, least common multiples, and greatest common factors.

Forgetting that 1 is not prime and that every integer divides 0.

If x>5,999x > 5,999x>5,999, then the value of 2x5x+1\dfrac{2x}{5x+1}5x+12x​ is closest to which of the following?