Data Sufficiency (DS) | Re: Is the integer z divisible by 3? (1) The LCM of z and 12 is 12

Solution:
PreAnalysis:

• We need to know if z is divisible by 3 ornot
• It is a YES-NOquestion

Statement1: The LCM of z and 12 is12

• According to this statement, z is either 12 or any factor of 12 like, 1, 2, 3, 4, 6 and12
• If\(z=6\) then it is divisible by3
• If\(z=4\) then it is not divisible by3
• statement 1 alone is not sufficient and we can eliminate options A andD

Statement2: The LCM of z and 15 is45

• We know\( 15=3\times5\) and\( 45=3^2\times5\)
• So, if\( LCM(z, 3\times 5)=3^2\times5\) , then z has to be tales3
• Thus, statement 2 alone issufficient

Hence the right answer is OptionB
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Statistics : Posted by SaquibHGMATWhiz • on 10 Aug 2023, 01:30 • Replies 2 • Views 281

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