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• ### $450 Tuition Credit & Official CAT Packs FREE November 15, 2018 November 15, 2018 10:00 PM MST 11:00 PM MST EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) • ### Free GMAT Strategy Webinar November 17, 2018 November 17, 2018 07:00 AM PST 09:00 AM PST Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT. # What is the value of x in the list {36, 47, 51, 65, x}?  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: ### Hide Tags Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6507 GMAT 1: 760 Q51 V42 GPA: 3.82 What is the value of x in the list {36, 47, 51, 65, x}? [#permalink] ### Show Tags 24 Nov 2017, 00:21 00:00 Difficulty: 45% (medium) Question Stats: 61% (01:08) correct 39% (01:19) wrong based on 39 sessions ### HideShow timer Statistics [GMAT math practice question] What is the value of x in the list {36, 47, 51, 65, x}? 1) The median of the 5 values is 51. 2) The range of the 5 values is 29. _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
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What is the value of x in the list {36, 47, 51, 65, x}?  [#permalink]

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24 Nov 2017, 00:46
1. If the median of the 5 values is 51,
the range of the value x is $$x\geq{51}$$
We cannot find an unique value of x. (Insufficient)

2. If the range of the 5 value is 29,
the value of x could 36 or 65(Insufficient)

On combining the information from both the statements,
x could be in the range $${51}\leq x \leq{65}$$(Insufficient)(Option E)
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Re: What is the value of x in the list {36, 47, 51, 65, x}?  [#permalink]

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26 Nov 2017, 17:25
=>

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.

Since we have 1 variable (x) and 0 equations, D is most likely to be the answer.

Condition 1)
Since the median is 51, x could be any value greater than or equal to 51.
This is NOT sufficient.

Condition 2)
Since the range is 29=65-36, x could be any value between 36 and 65, inclusive.
This is NOT sufficient.

Conditions 1) and 2)
Condition 1) tells us that x could be any value greater than or equal to 51, while condition 2) tells us that x could be any value between 36 and 65, inclusive. Combining these ranges tells us that x could be any value between 51 and 65, inclusive.
Therefore, the two conditions are NOT sufficient, when considered together.

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: What is the value of x in the list {36, 47, 51, 65, x}? &nbs [#permalink] 26 Nov 2017, 17:25
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