ACT Math Practice Question #1285 (Hard (35)) | Test Citadel
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ACT Math Difficulty: Hard (35)

Digital ACT Math Practice Question #1285

Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.

How many integers between $100$ and $999$, inclusive, are divisible by both $6$ and $9$?
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Socratic AI Engine Step-by-Step Derivation
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Formula: $\lfloor 999/18 \rfloor - \lfloor 99/18 \rfloor = 55 - 5 = 50$. Done in 5 seconds.

Masterclass Solution & Distractor Trap Analysis

An integer divisible by both $6$ and $9$ must be divisible by their least common multiple, $\text{LCM}(6, 9) = 18$. We seek the number of multiples of $18$ in the interval $[100, 999]$. The smallest multiple of $18$ greater than or equal to...

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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