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A student has decided to take GMAT and TOEFL examinations [#permalink]
 19 Jun 2012, 08:52
Question Stats:
42% (02:44) correct
57% (00:58) wrong based on 2 sessions
From, raceacademy's training material: A student has decided to take GMAT and TOEFL examinations, for which he has allocated a certain number of days for preparation. On any given day, he does not prepare for both GMAT and TOEFL. How many days did he allocate for the preparation? (1) He did not prepare for GMAT on 10 days and for TOEFL on 12 days. (2) He prepared for either GMAT or TOEFL on 14 days.
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Re: A student has decided to take GMAT and TOEFL examinations [#permalink]
19 Jun 2012, 09:29
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A student has decided to take GMAT and TOEFL examinations, for which he has allocated a certain number of days for preparation. On any given day, he does not prepare for both GMAT and TOEFL. How many days did he allocate for the preparation?It's more Overlapping Sets problem than Statistics, I guess. We have: {Total} = {GMAT } + {TOEFL} - {Both} + {Neither}. Since we are told that "on any given day, he does not prepare for both GMAT and TOEFL", then {Both} = 0, so {Total} = {GMAT } + {TOEFL} + {Neither}. We need to find {Total}(1) He did not prepare for GMAT on 10 days and for TOEFL on 12 days --> {Total} - {GMAT } = 10 and {Total} - {TOEFL} =12. Not sufficient. (2) He prepared for either GMAT or TOEFL on 14 days --> {GMAT } + {TOEFL} = 14. Not sufficient. (1)+(2) We have three linear equations ( {Total} - {GMAT } = 10, {Total} - {TOEFL} =12 and {GMAT } + {TOEFL} = 14) with three unknowns ( {Total}, {GMAT }, and {TOEFL}), so we can solve for all of them. Sufficient. Answer: C. Just to illustrate. Solving gives: {Total} = 18 - he allocate total of 18 days for the preparation; {GMAT } = 8 - he prepared for the GMAT on 8 days; {TOEFL} = 6 - he prepared for the TOEFL on 6 days; {Neither} = 4 - he prepared for neither of them on 4 days. Hope it's clear. For more check ADVANCED OVERLAPPING SETS PROBLEMS
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Re: A student has decided to take GMAT and TOEFL examinations [#permalink]
19 Jun 2012, 09:37
1) NS since we don't know how many days the student did not study at all. We do know that Total-GMAT= 10 and Total-TOEFL= 12. 2) NS but we do know there were 14 days spent studying. Together: Let Z= Total Days G= GMAT T= TOEFL Z-G = 10 Z-T = 12 T+G = 14 (Sum these up in a system of equations) 2Z= 36 and simplifying to Z = 18.
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Re: A student has decided to take GMAT and TOEFL examinations [#permalink]
20 Jun 2012, 23:39
Hi, Using Venn diagram approach, (my favorite  ) let, a = Days on which student prepares for GMAT, b = Days on which student prepares for Toefl, c = Days on which student prepares neither for GMAT nor for TOEFL, Using (1), He did not prepare for GMAT on 10 days and for TOEFL on 12 days a+c=12 b+c=10, two equation, 3 variables. can't solve.Insufficient. Using (2) He prepared for either GMAT or TOEFL on 14 days a+b=14. Insufficient. Combining both (1) & (2), a+c=12 b+c=10 a+b=14, addition all three, 2(a+b+c)=36 a+b+c=18, Sufficient. Thus, Answer is (C) Regards,
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Re: A student has decided to take GMAT and TOEFL examinations [#permalink]
11 Sep 2012, 05:28
Is this a badly worded question? - it tells me that how many days of preparation has the student taken, but if he has studied for neither GMAT or TOEFL then this idle day is not a day of preparation and doesnt count. Therefor the answer is D, both can give us the answer
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Re: A student has decided to take GMAT and TOEFL examinations [#permalink]
07 Jan 2013, 00:16
jordanshl wrote: Is this a badly worded question? - it tells me that how many days of preparation has the student taken, but if he has studied for neither GMAT or TOEFL then this idle day is not a day of preparation and doesnt count.
Therefor the answer is D, both can give us the answer I thought the same too.. Could somebody please confirm?
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Re: A student has decided to take GMAT and TOEFL examinations [#permalink]
07 Jan 2013, 18:48
Sachin9 wrote: jordanshl wrote: Is this a badly worded question? - it tells me that how many days of preparation has the student taken, but if he has studied for neither GMAT or TOEFL then this idle day is not a day of preparation and doesnt count.
Therefor the answer is D, both can give us the answer I thought the same too.. Could somebody please confirm? I agree... the wording of this question sucks, it's not clear if the days he did not spend studying should be taken into consideration
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Re: A student has decided to take GMAT and TOEFL examinations [#permalink]
07 Jan 2013, 20:01
Vaico wrote: Sachin9 wrote: jordanshl wrote: Is this a badly worded question? - it tells me that how many days of preparation has the student taken, but if he has studied for neither GMAT or TOEFL then this idle day is not a day of preparation and doesnt count.
Therefor the answer is D, both can give us the answer I thought the same too.. Could somebody please confirm? I agree... the wording of this question sucks, it's not clear if the days he did not spend studying should be taken into consideration what makes me worried is that this question appears in the gmatclub math book.
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Re: A student has decided to take GMAT and TOEFL examinations [#permalink]
26 Jan 2013, 07:29
Can this question come in GMAT ? I doubt because i've never seen such SETs qshn ever. Whats the source pl ?
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Re: A student has decided to take GMAT and TOEFL examinations [#permalink]
26 Jan 2013, 07:32
aishwarye wrote: Can this question come in GMAT ? I doubt because i've never seen such SETs qshn ever. Whats the source pl ? congrats on your first post. This question will never come in GMAT.. Guaranteed. IMHO One that's floating around in internet,never :D
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Re: A student has decided to take GMAT and TOEFL examinations [#permalink]
26 Jan 2013, 09:52
Sachin9 wrote: aishwarye wrote: Can this question come in GMAT ? I doubt because i've never seen such SETs qshn ever. Whats the source pl ? congrats on your first post. This question will never come in GMAT.. Guaranteed. IMHO One that's floating around in internet,never :D Thank you for the warm welcome Sachin ! I have baan a part of gmatclub since long.. Now trying to get active.. i think getting active on gmatclub will keep me focussed and help learn more !
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Re: A student has decided to take GMAT and TOEFL examinations [#permalink]
26 Jan 2013, 19:34
aishwarye wrote: Sachin9 wrote: aishwarye wrote: Can this question come in GMAT ? I doubt because i've never seen such SETs qshn ever. Whats the source pl ? congrats on your first post. This question will never come in GMAT.. Guaranteed. IMHO One that's floating around in internet,never :D Thank you for the warm welcome Sachin ! I have baan a part of gmatclub since long.. Now trying to get active.. i think getting active on gmatclub will keep me focussed and help learn more ! yupp . . all the best!!
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Re: A student has decided to take GMAT and TOEFL examinations
[#permalink]
26 Jan 2013, 19:34
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