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# The number 3 divides a with a result of b and a remainder of

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The number 3 divides a with a result of b and a remainder of [#permalink]  21 Apr 2018, 03:24
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Question Stats:

85% (00:42) correct 15% (01:47) wrong based on 20 sessions
The number 3 divides a with a result of b and a remainder of 2. The number 3 divides b with a result of 2 and a remainder of 1. What is the value of a ?

(A) 13
(B) 17
(C) 21
(D) 23
(E) 27
[Reveal] Spoiler: OA

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Joined: 07 Jan 2018
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Kudos [?]: 770 [1] , given: 88

Re: The number 3 divides a with a result of b and a remainder of [#permalink]  25 Apr 2018, 02:10
1
KUDOS
Formulate the given information into a eqn
$$3b + 2 = a$$
$$3*2 +1 = b$$
so, $$b = 7$$
replace $$b$$ in the 1st eqn to get $$21 +2 = a$$
or, $$a = 23$$
option D
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Re: The number 3 divides a with a result of b and a remainder of   [#permalink] 25 Apr 2018, 02:10
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