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29 Apr 2016, 16:04
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
75% (01:21) correct
25%
(01:42)
wrong
based on 342
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What is the smallest positive perfect square that is divisible by 12, 15, and 18?
A. 900
B. 1,600
C. 2,500
D. 3,600
E. 4,900
A. 900
B. 1,600
C. 2,500
D. 3,600
E. 4,900
30 Apr 2016, 01:14
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Bunuel
HI,
we have to fulfill three conditions..
1) Should be SMALLEST possible
2) Should be a PERFECT square
3) Should be div by 12,15,18..
so it has to be a multiple of LCM of 12,15 and 18..
LCM = >\(12 = 2^2*3\); \(15 = 3*5\)and \(18 = 2*3^2.\).
\(LCM = 2*2*3*3*5 = 180\)..
now what should be multiplied to 180 to make it a perfect square=> 180 = 2*2*3*3*5.. ONLY 5 is without pair, so 180 *5 = 900
A
General Discussion
Himanshu9818
GMAT 1: 640 Q50 V27
Posts: 46
30 Apr 2016, 02:26
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[quote="Bunuel"]What is the smallest positive perfect square that is divisible by 12, 15, and 18?
A. 900
B. 1,600
C. 2,500
D. 3,600
E. 4,900
take the LCM of 12,15,18 that will come 180. the smallest positive perfect square given in the option that can be divided with 180 is 900.
so the ans is (A)
A. 900
B. 1,600
C. 2,500
D. 3,600
E. 4,900
take the LCM of 12,15,18 that will come 180. the smallest positive perfect square given in the option that can be divided with 180 is 900.
so the ans is (A)
