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E
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Difficulty:
35%
(medium)
Question Stats:
74% (02:17) correct
26%
(03:01)
wrong
based on 88
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Date
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When k = 2^x*3^y*7^z and both 84 and 1323 are factors of k, what is the least integer value of xyz?
A.8
B.9
C.10
D.11
E.12
A.8
B.9
C.10
D.11
E.12
01 Jul 2024, 05:48
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k = 2^x * 3^y * 7^z
and k is factor of 84 and 1323
factors of 84 = 2^2 * 3 * 7
factors for 1323 = 7^2 * 3^3
Therefore for least xyz, x = 2 y=3 and z=2
xyz = 2*3*2 = 12
Answer E.
and k is factor of 84 and 1323
factors of 84 = 2^2 * 3 * 7
factors for 1323 = 7^2 * 3^3
Therefore for least xyz, x = 2 y=3 and z=2
xyz = 2*3*2 = 12
Answer E.
