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# Alice studies for a hours on each of Monday, Tuesday, and Thursday. Sh

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8009
GMAT 1: 760 Q51 V42
GPA: 3.82
Alice studies for a hours on each of Monday, Tuesday, and Thursday. Sh  [#permalink]

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23 Mar 2018, 00:21
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Difficulty:

45% (medium)

Question Stats:

64% (01:26) correct 36% (01:36) wrong based on 65 sessions

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[GMAT math practice question]

Alice studies for a hours on each of Monday, Tuesday, and Thursday. She also studies for b hours on Wednesday, and for c hours on Friday. What is her median study time for the school week?

$$1) a=10$$
$$2) b+c=30$$

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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 $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Senior Manager Joined: 22 Feb 2018 Posts: 420 Alice studies for a hours on each of Monday, Tuesday, and Thursday. Sh [#permalink] ### Show Tags 23 Mar 2018, 01:03 Information given in question Day-------------------- Monday--------- Tuesday--------- Wednesday-----------Thursday-----------Friday Study Time(hrs)--------- a--------------- a--------------------b-------------------------a-------------------c Total number of days per school week = 5 Frequency of a = 3 for all possible value of a, b, c ; a will be median. Statement 1: a=10hrs It gives the value of a , hence sufficient Statement 2: b+c=30 As there is no relation specified between a and b+c, Statement 2 is insufficient. So Answer is A _________________ Good, good Let the kudos flow through you Senior PS Moderator Joined: 26 Feb 2016 Posts: 3335 Location: India GPA: 3.12 Re: Alice studies for a hours on each of Monday, Tuesday, and Thursday. Sh [#permalink] ### Show Tags 23 Mar 2018, 01:28 1 MathRevolution wrote: [GMAT math practice question] Alice studies for a hours on each of Monday, Tuesday, and Thursday. She also studies for b hours on Wednesday, and for c hours on Friday. What is her median study time for the school week? $$1) a=10$$ $$2) b+c=30$$ In a set having 5 elements, the median must be the middle value. We know from the question stem that Alice studies for a hrs on a Monday, Tuesday, and Thursday She studies b hrs on Wednesday and c hrs on Friday 1. If a = 10, the median study time is 10. There are 6 possibilities a>b>c - 10 10 10 b c a>c>b - 10 10 10 c b c>b>a - c b 10 10 10 b>c>a - b c 10 10 10 b<a<c c 10 10 10 b c<a<b b 10 10 10 c In each of these cases, the median study time is 10(Sufficient) 2. Here, we don't know the values of b,c, and a We can't clearly give the median study time without knowing the values of a (Insufficient) (Option A) _________________ You've got what it takes, but it will take everything you've got Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8009 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: Alice studies for a hours on each of Monday, Tuesday, and Thursday. Sh [#permalink] ### Show Tags 25 Mar 2018, 18:19 => 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. Depending on their values, it is possible to rearrange a, a, a, b, c into ascending order in the following ways: a, a, a, b, c a, a, a, c, b b, a, a, a, c c, a, a, a, b b, c, a, a, a c, b, a, a, a In every order, the median (middle value) is a. So, the question asks for the value of a. Thus, only condition 1) is sufficient. Therefore, A is the answer. Answer: A _________________ 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$79 for 1 month Online Course"
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Re: Alice studies for a hours on each of Monday, Tuesday, and Thursday. Sh   [#permalink] 25 Mar 2018, 18:19
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