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26 Jan 2022, 09:00
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D
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Difficulty:
65%
(hard)
Question Stats:
57% (01:54) correct
43%
(01:58)
wrong
based on 77
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If A and B are positive integers, is A*(B)^4 a multiple of 2?
(1) (2A + B)^3 is an even number
(2) A + 3B is an odd number
(1) (2A + B)^3 is an even number
(2) A + 3B is an odd number
26 Jan 2022, 09:15
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(2A+B)^3 Even => 2A+B is even => B is even
So A Is sufficient
A+3B is odd => A odd ,B odd or A even ,B even
If A is odd,B is odd then it is not multiple of 2 else it is .
So not sufficient
Posted from my mobile device
So A Is sufficient
A+3B is odd => A odd ,B odd or A even ,B even
If A is odd,B is odd then it is not multiple of 2 else it is .
So not sufficient
Posted from my mobile device
06 Jan 2025, 08:02
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Bunuel
If A and B are positive integers, is A*(B)^4 a multiple of 2?
(1) (2A + B)^3 is an even number
(2) A + 3B is an odd number
Is A*(B)^4 even?(1) (2A + B)^3 is an even number
(2) A + 3B is an odd number
Statement 1 - 2A + B is even
This means B is an even number. Sufficient.
Statement 2 - A + 3B is odd
which means either A,B is (O, E) or (E, O). In either case A*B^4 should be even so it's sufficient.
IMO: D
