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The product of 4 consecutive odd integers is negative. What is the lar
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17 Jul 2018, 01:11
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[GMAT math practice question] The product of 4 consecutive odd integers is negative. What is the largest odd integer? 1) The smallest integer is negative. 2) The third smallest integer is negative.
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The product of 4 consecutive odd integers is negative. What is the lar
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17 Jul 2018, 01:24
MathRevolution wrote: [GMAT math practice question]
The product of 4 consecutive odd integers is negative. What is the largest odd integer?
1) The smallest integer is negative. 2) The third smallest integer is negative. Let the odd integers be \(a,b,c,d\) in ascending order. We need the value of \(d\) Given: \(a*b*c*d<0\). Hence either one or three numbers are negative Statement 1: implies \(a<0\) but we know nothing about other numbers. if \(c<0\), then \(d=1\) but if \(b,c,d>0\), then \(d=5\). InsufficientStatement 2: implies that \(c<0\), therefore \(a,b,c<0\) and \(d>0\) or \(d=1\). SufficientOption B



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Re: The product of 4 consecutive odd integers is negative. What is the lar
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17 Jul 2018, 01:42
MathRevolution wrote: [GMAT math practice question]
The product of 4 consecutive odd integers is negative. What is the largest odd integer?
1) The smallest integer is negative. 2) The third smallest integer is negative. 4 consecutive ODD integers Product is negative : ONLY when one or three of them are negative A) only one... 1,1,3,5 B) three of them 5,3,1,1 Let us see the statements 1) the smallest integer is negative.. Both cases have smallest integer as negative.. Insufficient 2) the third smallest integer is negative. Only possibility  case (B) So largest number is 1 Sufficient B
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Re: The product of 4 consecutive odd integers is negative. What is the lar
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17 Jul 2018, 02:15
MathRevolution wrote: [GMAT math practice question]
The product of 4 consecutive odd integers is negative. What is the largest odd integer?
1) The smallest integer is negative. 2) The third smallest integer is negative. Let the 4 consecutive odd integers be 2n3, 2n1, 2n+1, and 2n+3. Smallest: 2n3 Largest: 2n+3 Given, (2n3)(2n1)(2n+1)(2n+3)<0(a) St1: (2n3)<0 Or, n<1.5 So, we can have more than one value of 2n+3. (at n=1, n=1) Insufficient. St2: (2n+1)<0 Or, n< 0.5(b) only n=1 satisfies both (a) & (b). So, largest: 2n+3=2(1)+3=1 Sufficient. Ans. (B)
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Re: The product of 4 consecutive odd integers is negative. What is the lar
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17 Jul 2018, 08:28
MathRevolution wrote: The product of 4 consecutive odd integers is negative. What is the largest odd integer?
1) The smallest integer is negative. 2) The third smallest integer is negative. Target question: What is the largest odd integer? Given: The product of 4 consecutive odd integers is negative. It's worth taking the time to analyze what this is telling us. If the product of 4 consecutive odd integers is negative, then there are only 2 possible scenarios: Scenario #1: The numbers are 5, 3, 1, 1 (the product is 15, which is negative) Scenario #2: The numbers are 1, 1, 3, 5 (the product is 15, which is negative)Now let's check the statements: Statement 1: The smallest integer is negative Notice that BOTH scenarios meet this condition In scenario #1, the answer to the target question is the largest integer is 1In scenario #2, the answer to the target question is the largest integer is 5Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT Statement 2: The third smallest integer is negative Only scenario #1 meets this condition So, the answer to the target question is the largest integer is 1Since we can answer the target question with certainty, statement 2 is SUFFICIENT Answer: B Cheers, Brent
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Re: The product of 4 consecutive odd integers is negative. What is the lar
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19 Jul 2018, 02:26
=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first step of the VA (Variable Approach) method is to modify the original condition and the question. We then recheck the question. Since we have 1 variable (n) and 0 equations, D is most likely to be the answer. So, we should consider each of the conditions on their own first. Let the integers be \(2n – 3, 2n – 1, 2n + 1\) and \(2n +3.\) Since \((2n3)(2n1)(2n+1)(2n+3) < 0,\) either one of the integers is negative, or three of the integers is negative. There are two possible lists of integers: \(1, 1, 3, 5\) and \(5, 3, 1, 1.\) Condition 1) The largest odd integers in the two possible lists are \(5\) and \(1\). Since we don’t have a unique answer, condition 1) is not sufficient. Condition 2) If the third smallest integer is negative, then the integers are \(5, 3, 1, 1.\) The largest integer is \(1\). Since we have a unique answer, condition 2) is sufficient. Therefore, B is the answer. Answer: B If the original condition includes “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations” etc., one more equation is required to answer the question. If each of conditions 1) and 2) provide an additional equation, there is a 59% chance that D is the answer, a 38% chance that A or B is the answer, and a 3% chance that the answer is C or E. Thus, answer D (conditions 1) and 2), when applied separately, are sufficient to answer the question) is most likely, but there may be cases where the answer is A,B,C or E.
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Re: The product of 4 consecutive odd integers is negative. What is the lar
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14 Jun 2019, 23:49
MathRevolution wrote: [GMAT math practice question]
The product of 4 consecutive odd integers is negative. What is the largest odd integer?
1) The smallest integer is negative. 2) The third smallest integer is negative. The product of 4 consecutive odd integers is negative > Its only possible when there are either 1 negative or 3 negative integers > Possible set = {1, 1, 3, 5} or {5, 3, 1, 1} 1) The smallest integer is negative. Both the sets have smallest integer as negative  Insufficient2) The third smallest integer is negative. Only set {5, 3, 1, 1} is possible  SufficientIMO Option B Pls Hit Kudos if you like the solution




Re: The product of 4 consecutive odd integers is negative. What is the lar
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