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If ab is positive and cde is negative, which of the following must be
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05 Jan 2023, 02:11
05 Jan 2023, 02:11
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85% (00:38) correct
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If ab is positive and cde is negative, which of the following must be true?
(A) \(ab + cde > 0\)
(B) \(ab × cde × cde > 0\)
(C) \(ac + de < 0\)
(D) \(\frac{ab}{cde}<-1\)
(E) \(\frac{a}{cde}<0\)
(A) \(ab + cde > 0\)
(B) \(ab × cde × cde > 0\)
(C) \(ac + de < 0\)
(D) \(\frac{ab}{cde}<-1\)
(E) \(\frac{a}{cde}<0\)
Re: If ab is positive and cde is negative, which of the following must be
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31 Jan 2023, 12:21
31 Jan 2023, 12:21
1
Expert Reply
OE
One approach to this problem is to pick numbers. However, this could lead to mistakes, or to multiple answer choices that seemingly lead to a correct answer. Since the choices largely concern the sign of various expressions, one could work with the signs of the variables. In either case, all positive/negative scenarios must be considered.
(A) ab + cde = Pos + Neg, which could be either positive or negative.
(B) ab × cde × cde = Pos × Neg × Neg, which must be positive.
(C) ac + de could be any sign, as a, c, d, and e are not constrained individually to one particular sign.
(D) ab/cde=Pos/neg= Neg but it could be > or < -1
(E) a/cde=Pos or Neg/Neg=Neg or Pos
One approach to this problem is to pick numbers. However, this could lead to mistakes, or to multiple answer choices that seemingly lead to a correct answer. Since the choices largely concern the sign of various expressions, one could work with the signs of the variables. In either case, all positive/negative scenarios must be considered.
(A) ab + cde = Pos + Neg, which could be either positive or negative.
(B) ab × cde × cde = Pos × Neg × Neg, which must be positive.
(C) ac + de could be any sign, as a, c, d, and e are not constrained individually to one particular sign.
(D) ab/cde=Pos/neg= Neg but it could be > or < -1
(E) a/cde=Pos or Neg/Neg=Neg or Pos
Re: If ab is positive and cde is negative, which of the following must be
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10 Aug 2024, 17:47
10 Aug 2024, 17:47
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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