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If the relations shown hold for the operation ⊕ and the numb

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If the relations shown hold for the operation ⊕ and the numb [#permalink] New post 27 Jul 2020, 09:02
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\(m ⊕ p =n\)

\(n ⊕ r =m \)

\(n ⊕ q =q \)

\(p ⊕ q =p \)

\(q ⊕ p =r \)

If the relations shown hold for the operation ⊕ and the numbers m, n, p, q, and r, then \([(m⊕p)⊕ q]⊕ p =\)

(A) m
(B) n
(C) p
(D) q
(E) r
[Reveal] Spoiler: OA

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Founder
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Re: If the relations shown hold for the operation ⊕ and the numb [#permalink] New post 27 Jul 2020, 09:02
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Re: If the relations shown hold for the operation ⊕ and the numb [#permalink] New post 27 Jul 2020, 09:56
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[(m⊕p)⊕q]⊕p

m⊕p = n
n⊕q = q
q⊕p = r

Ans E) r
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Re: If the relations shown hold for the operation ⊕ and the numb [#permalink] New post 27 Jul 2020, 12:28
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Carcass wrote:
\(m ⊕ p =n\)

\(n ⊕ r =m \)

\(n ⊕ q =q \)

\(p ⊕ q =p \)

\(q ⊕ p =r \)

If the relations shown hold for the operation ⊕ and the numbers m, n, p, q, and r, then \([(m⊕p)⊕ q]⊕ p =\)

(A) m
(B) n
(C) p
(D) q
(E) r



[/quote]
We want to find the value of [(m ⊕ p) ⊕ q] ⊕ p

From statement I, we can write: [(m ⊕ p) ⊕ q] ⊕ p = [(n) ⊕ q] ⊕ p = [n ⊕ q] ⊕ p
From statement III, we can write: [n ⊕ q] ⊕ p = [q] ⊕ p = q ⊕ p
From statement V, we can write: q ⊕ p = r

Answer: E

Cheers,
Brent
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Re: If the relations shown hold for the operation ⊕ and the numb   [#permalink] 27 Jul 2020, 12:28
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If the relations shown hold for the operation ⊕ and the numb

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