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# If b, c, x, and y are positive and (x/y)(b/c) > x/c, which of the fol

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Math Expert
Joined: 02 Sep 2009
Posts: 58381
If b, c, x, and y are positive and (x/y)(b/c) > x/c, which of the fol  [#permalink]

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21 Jan 2019, 02:18
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Difficulty:

15% (low)

Question Stats:

83% (01:03) correct 17% (01:10) wrong based on 31 sessions

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If b, c, x, and y are positive and $$(\frac{x}{y})(\frac{b}{c}) > \frac{x}{c}$$, which of the following must be true?

A x > b
B x > c
C b > y
D b < y
E b > c

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Joined: 31 Oct 2013
Posts: 1469
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If b, c, x, and y are positive and (x/y)(b/c) > x/c, which of the fol  [#permalink]

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21 Jan 2019, 03:40
1
Bunuel wrote:
If b, c, x, and y are positive and $$(\frac{x}{y})(\frac{b}{c}) > \frac{x}{c}$$, which of the following must be true?

A x > b
B x > c
C b > y
D b < y
E b > c

Given ,

$$(\frac{x}{y})(\frac{b}{c}) > \frac{x}{c}$$

$$(\frac{xb}{yc}) > \frac{x}{c}$$

Cancel out both x and c from both sides. *** all are positive . Thus no problem in removing x and c.

Inequality becomes:

$$(\frac{b}{y})$$ > 1

b>y.

C is our answer.
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Joined: 18 Aug 2017
Posts: 5009
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If b, c, x, and y are positive and (x/y)(b/c) > x/c, which of the fol  [#permalink]

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21 Jan 2019, 08:54
Bunuel wrote:
If b, c, x, and y are positive and $$(\frac{x}{y})(\frac{b}{c}) > \frac{x}{c}$$, which of the following must be true?

A x > b
B x > c
C b > y
D b < y
E b > c

simply solve for the given expression
we get b>y
IMO C
Re: If b, c, x, and y are positive and (x/y)(b/c) > x/c, which of the fol   [#permalink] 21 Jan 2019, 08:54
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# If b, c, x, and y are positive and (x/y)(b/c) > x/c, which of the fol

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