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31 Aug 2023, 05:00
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
66% (02:21) correct
34%
(02:33)
wrong
based on 232
sessions
History
Date
Time
Result
Not Attempted Yet
If \(a=2b=6c\) for positive integers \(a, b,\) and \(c\), which of the following could be the value of \(abc\)?
A. 1000
B. 1230
C. 2250
D. 2367
E. 2488
A. 1000
B. 1230
C. 2250
D. 2367
E. 2488
31 Aug 2023, 06:09
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a = 2b
2b = 6c ---> b = 3c
abc = 2b*b*c = 2*3*3*c*c*c = 18*c^3
For any positive integer c, abc must be a multiple of 18.
It should be multiple of 2, 9
For 2, it must be even.
For 9, sum of all digits should be multiple of 9.
Those conditions are satisfied in C.
Posted from my mobile device
2b = 6c ---> b = 3c
abc = 2b*b*c = 2*3*3*c*c*c = 18*c^3
For any positive integer c, abc must be a multiple of 18.
It should be multiple of 2, 9
For 2, it must be even.
For 9, sum of all digits should be multiple of 9.
Those conditions are satisfied in C.
Posted from my mobile device
31 Aug 2023, 23:43
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If a=2b=6c for positive integers a,b, and c , which of the following could be the value of abc?
abc = (6c)(3c)c = 18c^3
A. 1000 => Not a multiple of 18 hence rejected
B. 1230=> Not a multiple of 18 hence rejected
C. 2250 Answer
D. 2367=> Not a multiple of 18 hence rejected
E. 2488=> Not a multiple of 18 hence rejected
abc = (6c)(3c)c = 18c^3
A. 1000 => Not a multiple of 18 hence rejected
B. 1230=> Not a multiple of 18 hence rejected
C. 2250 Answer
D. 2367=> Not a multiple of 18 hence rejected
E. 2488=> Not a multiple of 18 hence rejected
