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# If a,b,c, and d are non negative integers

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If a,b,c, and d are non negative integers [#permalink]  02 Jun 2020, 02:35
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Question Stats:

33% (01:11) correct 66% (01:26) wrong based on 12 sessions
If a,b,c, and d are non-negative integers and $$a(2^3)+b(2^2)+c(2^1)+d(2^0)=17$$, which of the following could be the product of $$abcd$$ ?

Indicate all such values

A. 0

B. 1

C. 2

D. 3

E. 4

F. 8
[Reveal] Spoiler: OA

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Founder
Joined: 18 Apr 2015
Posts: 12066
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Kudos [?]: 3008 [0], given: 11277

Re: If a,b,c, and d are non negative integers [#permalink]  02 Jun 2020, 02:35
Expert's post
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Re: If a,b,c, and d are non negative integers [#permalink]  02 Jun 2020, 21:36
1
KUDOS
a(8)+b(4)+c(2)+d(1) = 0

1) Consider b=2
8+8+0+1=17
a=1, b=2, c=0, d=1
Thus, product will be 0.

2) Consider c=2
8+4+4+1=17
a=1, b=1, c=2, d=1
Thus, product will be 2.

3) Consider d=3
8+4+2+3=17
a=1, b=1, c=1, d=3
Thus, product will be 3.

Thus, answer is A,C,D.
Re: If a,b,c, and d are non negative integers   [#permalink] 02 Jun 2020, 21:36
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# If a,b,c, and d are non negative integers

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