Free Practice Question
PS · Problem Solving
605-655
Divisibility/Multiples/Factors
If x is a multiple of 15 and 20, which of the following must also be a divisor of x? I. 5 II. 60 III. 100
Answer Choices
Correct answer marked belowA
I only
I and II
Correct
C
II and III
D
II only
E
I, II, and III
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Explanation
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Official Explanation
Official
Since x is a multiple of both 15 and 20, we can find their least common multiple (LCM) to determine what must divide x. The LCM of 15 and 20 is 60. Therefore, any number that divides 60 must also divide…
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Comments
3
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P
priyankaMar 20, 2025
Good question
B
BoniMay 6, 2024
thanksss
J
JasonAug 24, 2024
Thank you very much!
What this question tests
What it tests
Your understanding of divisibility rules, least common multiples, and greatest common factors.
Common trap
Forgetting that 1 is not prime and that every integer divides 0.
Details
Difficulty
605-655
Type
PS
Category