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07 Jul 2020, 03:34
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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:
25%
(medium)
Question Stats:
91% (01:16) correct
9%
(01:10)
wrong
based on 22
sessions
History
Date
Time
Result
Not Attempted Yet
A positive integer x is divisible by 2,3, and 5. What is the smallest three-digit number that is divisible by 2, 3, 5, and 3x?
A. 120
B. 150
C. 180
D. 210
e. 300
A. 120
B. 150
C. 180
D. 210
e. 300
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07 Jul 2020, 03:40
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LCM of 2,3,&5 = 30
Therefore X = 30y where y is an integer.
A least three digit no. Which is divisible by 2,3,5 and 90 = LCM of 2,3,5&90 = 90
The no.has to be a multiple of 90.
Among options 180 is the least multiple.
Hence Answer is C
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Therefore X = 30y where y is an integer.
A least three digit no. Which is divisible by 2,3,5 and 90 = LCM of 2,3,5&90 = 90
The no.has to be a multiple of 90.
Among options 180 is the least multiple.
Hence Answer is C
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07 Jul 2020, 03:41
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Bunuel
x is divisible by 2, 3, 5
i.e x is a multiple of 2*3*5 = 30
i.e. x maybe 30, 60 ... etc
Number divisible by 2, 3, 5, and 3x = Divisible by LCM(2, 3, 5, 3*30 or 60) = Multiple of 90 = 180
Amswer: Option C
