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# On the circle above, letters opposite each other represent reciprocals

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Math Expert
Joined: 02 Sep 2009
Posts: 50000
On the circle above, letters opposite each other represent reciprocals  [#permalink]

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23 Nov 2017, 01:19
00:00

Difficulty:

(N/A)

Question Stats:

80% (01:30) correct 20% (00:00) wrong based on 7 sessions

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On the circle above, letters opposite each other represent reciprocals; for example, p = 1/t. If pr = q, which of the following must be true?

I. vt = u
II. pru = 1
III. p + r = v + t

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II and III

Attachment:

2017-11-23_1214_001.png [ 7.11 KiB | Viewed 334 times ]

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Re: On the circle above, letters opposite each other represent reciprocals  [#permalink]

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23 Nov 2017, 01:59
Bunuel wrote:

On the circle above, letters opposite each other represent reciprocals; for example, p = 1/t. If pr = q, which of the following must be true?

I. vt = u
II. pru = 1
III. p + r = v + t

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II and III

Attachment:
2017-11-23_1214_001.png

p = 1/t
q = 1/u
r = 1/v
pr = q

I) vt = u
1/rp = 1/q
pr = q ..true

II) pr = q
pr = 1/u
pru = 1...true

III) p+r = v+t
1/t + 1/v = v+t
(v+t)/vt = v+t...not true

D
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Re: On the circle above, letters opposite each other represent reciprocals &nbs [#permalink] 23 Nov 2017, 01:59
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