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Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  If b and c are negative integers, then which of the following must als

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Math Expert V
Joined: 02 Sep 2009
Posts: 58340
If b and c are negative integers, then which of the following must als  [#permalink]

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Difficulty:   45% (medium)

Question Stats: 56% (01:22) correct 44% (01:04) wrong based on 48 sessions

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If b and c are negative integers, then which of the following must also be negative?

A. $$b^3 – c^3$$

B. $$bc^2 – c$$

C. $$bc(b – c)$$

D. $$\frac{b}{c} + \frac{c}{b}$$

E. $$b^2c + bc^2$$

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Intern  B
Joined: 18 Nov 2018
Posts: 26
Re: If b and c are negative integers, then which of the following must als  [#permalink]

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D is the answer. b and c is both negative and thereby b/c and c/b are both positive

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VP  D
Joined: 31 Oct 2013
Posts: 1471
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
If b and c are negative integers, then which of the following must als  [#permalink]

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Bunuel wrote:
If b and c are negative integers, then which of the following must also be negative?

A. $$b^3 – c^3$$

B. $$bc^2 – c$$

C. $$bc(b – c)$$

D. $$\frac{b}{c} + \frac{c}{b}$$

E. $$b^2c + bc^2$$

E is the correct answer.

$$b^2$$ = positive

c = negative

$$b^2 c$$ = negative

again ,

$$c^2$$= positive

b=negative

$$c^2b$$= negative

$$b^2c + c^2b$$ = negative + negative = negative.

Originally posted by KSBGC on 19 Feb 2019, 02:34.
Last edited by KSBGC on 19 Feb 2019, 04:50, edited 2 times in total.
GMAT Club Legend  D
Joined: 18 Aug 2017
Posts: 4999
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If b and c are negative integers, then which of the following must als  [#permalink]

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Bunuel wrote:
If b and c are negative integers, then which of the following must also be negative?

A. $$b^3 – c^3$$

B. $$bc^2 – c$$

C. $$bc(b – c)$$

D. $$\frac{b}{c} + \frac{c}{b}$$

E. $$b^2c + bc^2$$

$$b^2c + bc^2$$
will always be -ve Re: If b and c are negative integers, then which of the following must als   [#permalink] 19 Feb 2019, 04:38
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If b and c are negative integers, then which of the following must als

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