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M24-01

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M24-01  [#permalink]

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New post 16 Sep 2014, 00:20
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If \(x\) and \(y\) are positive integers and \(f(x,y)\) denotes the smallest positive integer divisible by both \(x\) and \(y\), then what is the value of \(f(24,36)\) ?

A. 64
B. 72
C. 96
D. 144
E. 256

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Re M24-01  [#permalink]

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New post 16 Sep 2014, 00:20
Official Solution:

If \(x\) and \(y\) are positive integers and \(f(x,y)\) denotes the smallest positive integer divisible by both \(x\) and \(y\), then what is the value of \(f(24,36)\) ?

A. 64
B. 72
C. 96
D. 144
E. 256


Notice that \(f(x,y)\) represents the least common multiple (LCM) of \(x\) and \(y\).

Now, since \(24=2^3*3\) and \(36=2^2*3^2\), then the least common multiple of 24 and 36 is \(2^3*3^2=72\).


Answer: B
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: M24-01  [#permalink]

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New post 07 Apr 2018, 08:00
+1 for option B. Take the LCM.
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Re: M24-01 &nbs [#permalink] 07 Apr 2018, 08:00
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