sukhman wrote:If k^3 is divisible by 240 what is the least possible value of integer k
a.12 b.30 c.60 d.90 e.120
Answer is c
An alternate approach is to PLUG IN THE ANSWERS.
The correct answer choice will be the smallest option that, when cubed, is divisible by 24*10 = 24*10 = 2*10*12.
A: (12*12*12)/(2*10*12) = (6*6*1)/(1*5*1).
Doesn't work.
Eliminate A
B: (30*30*30)/(2*10*12) = (15*3*5)/(1*1*2).
Doesn't work.
Eliminate B.
C: (60*60*60)/(2*10*12) = (30*6*5)/(1*1*1) = 30*6*5.
Success!
The correct answer is
C.
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