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# GMAT Diagnostic Test Question 33

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GMAT Diagnostic Test Question 33 [#permalink]  06 Jun 2009, 22:16
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GMAT Diagnostic Test Question 33
Field: word problems (mixture)
Difficulty: 650
 Rating:

A kilogram of nut mixture contains X% chestnuts and Y% walnuts and sells for $7.00/kg. If the ratio of chestnuts is increased by 50% so that the new mixture is sold for$8.00/kg, what is the price of a kg of walnuts?

A. $1.00 B.$2.50
C. $5.00 D.$7.50
E. $10.00 _________________ Founder of GMAT Club Just starting out with GMAT? Start here... | Want to know your GMAT Score? Try GMAT Score Estimator Need GMAT Book Recommendations? Best GMAT Books Co-author of the GMAT Club tests Have a blog? Feature it on GMAT Club! GMAT Club Premium Membership - big benefits and savings  Kaplan GMAT Prep Discount Codes Knewton GMAT Discount Codes GMAT Pill GMAT Discount Codes SVP Joined: 29 Aug 2007 Posts: 2493 Followers: 62 Kudos [?]: 605 [2] , given: 19 Re: GMAT Diagnostic Test Question 33 [#permalink] 10 Jun 2009, 19:04 2 This post received KUDOS Explanation  Rating: Official Answer: C Weight of chestnut = x% of 1 kg Price of chestnut = A Weight of walnut = y% of 1 kg = (1-x)% of 1 kg Price of walnut = B XA + (1-X) B = 7 ……………………….i (1.5X) A + (1 - 1.5X) B = 8 …………….ii From 1 and 2: 0.5XA – 0.5XB = 1 XA – XB = 2 XA = 2 + XB…………………………… iii Substitute the value of XA on Equation i: XA + (1-X) B = 7 2 + XB + B - XB = 7 B = 7 - 2 B = 5.00 Therefore, it is C. _________________ Current Student Joined: 13 Jul 2009 Posts: 145 Location: Barcelona Schools: SSE Followers: 16 Kudos [?]: 330 [1] , given: 22 Re: GMAT Diagnostic Test Question 33 [#permalink] 18 Jul 2009, 14:53 1 This post received KUDOS I didn't solve this one, so I don't know if it's correct, but all the numbers are different in the PDF. _________________ Performance: Gmat | Toefl Contributions: The Idioms Test | All Geometry Formulas | Friendly Error Log | GMAT Analytics MSc in Management: All you need to know | Student Lifestyle | Class Profiles Manager Joined: 17 Dec 2007 Posts: 106 Followers: 0 Kudos [?]: 52 [1] , given: 8 Re: GMAT Diagnostic Test Question 33 [#permalink] 28 Jul 2009, 14:11 1 This post received KUDOS GMAT TIGER wrote: Hold a second something is missing in the OE Will post by tonight. maliyeci wrote: I have not got an answer yet What is 1,5x? Done. Guys, please check it. Also let me kn oe if the question has issues. Hi where can i find the new question and solution to this problem Intern Joined: 02 Jul 2009 Posts: 6 Followers: 0 Kudos [?]: 1 [1] , given: 0 Re: GMAT Diagnostic Test Question 33 [#permalink] 28 Jul 2009, 15:43 1 This post received KUDOS The Question says '...Ratio of Walnuts is increased by 50%...'. Therefore, the multiplication by '1.5' has to be for Walnuts (Y). Since, this is done to 'X' (Corresponding to Chestnuts), I guess people are confused. However, the answer remains the same. I have solved it, and verified. Thanks for the wonderful effort guys. I really appreciate it. Harry Manager Joined: 19 Jul 2009 Posts: 53 Location: baltimore, md Schools: kellogg, booth, stern, ann arbor Followers: 1 Kudos [?]: 28 [1] , given: 3 Re: GMAT Diagnostic Test Question 33 [#permalink] 31 Aug 2009, 11:47 1 This post received KUDOS is it safe to assume.... a 50% increase in x (chestnuts) yields a dollar increase in the total amount (from$7 to $8); so a 50% increase in chestnuts equal$1 and 100% of the chestnuts will equal $2. there for 7 - 2 = 5 total amount for walnuts. do you think this solution is feasible for any problem like this? or would this simply be coincidence? _________________ Paaaaayyy Meeeee!!!!! Intern Joined: 19 Oct 2009 Posts: 4 Followers: 0 Kudos [?]: 1 [1] , given: 0 Re: GMAT Diagnostic Test Question 33 [#permalink] 19 Oct 2009, 21:39 1 This post received KUDOS I did not see any confusion here. TIGER's solution is absolutely rite. For those guys who were confused, I believe it is helpful to always keep in mind that: 1) the sum of weights of 2 nuts is always 1 kilo no matter how the mixture changes, which implies: 2) when chestnut in the mixture is increased by 50%, do remember that the weight of walnut should be decreased by a certain percetage (generally NOT by 50% unless the original mixture is 50% vs. 50%) to keep the sum of 1 kilo (implication 1) Did I make it clear? Senior Manager Joined: 23 Jun 2009 Posts: 353 Location: Turkey Schools: UPenn, UMich, HKS, UCB, Chicago Followers: 5 Kudos [?]: 98 [0], given: 63 Re: GMAT Diagnostic Test Question 33 [#permalink] 23 Jul 2009, 04:39 GMAT TIGER wrote: Explanation  Rating: Official Answer: C Weight of chestnut = x% of 1 kg Price of chestnut = A Weight of walnut = y% of 1 kg = (1-x)% of 1 kg Price of chestnut = B XA + (1-X) B = 7 ……………………….i (1.5X) A + (1 - 1.5X) B = …………….ii From 1 and 2: 0.5XA – 0.5XB = 1 XA – XB = 2 XA = 2 + XB…………………………… iii Substitute the value of XA on Equation i: XA + (1-X) B = 7 XA + B - XB = 7 2 + XB + B - XB = 7 B = 7 - 2 B = 5.00 Where this 1,5 x comes from? Does not it increased by %20? How can the price of wallnut be less than 7? We increased the rate of wallnut and price of it increased but price of 1kg of wallnut is less than the mixture price. Senior Manager Joined: 23 Jun 2009 Posts: 353 Location: Turkey Schools: UPenn, UMich, HKS, UCB, Chicago Followers: 5 Kudos [?]: 98 [0], given: 63 Re: GMAT Diagnostic Test Question 33 [#permalink] 24 Jul 2009, 05:23 I have not got an answer yet What is 1,5x? SVP Joined: 29 Aug 2007 Posts: 2493 Followers: 62 Kudos [?]: 605 [0], given: 19 Re: GMAT Diagnostic Test Question 33 [#permalink] 24 Jul 2009, 05:31 Hold a second something is missing in the OE Will post by tonight. maliyeci wrote: I have not got an answer yet What is 1,5x? Done. Guys, please check it. Also let me know if the question has still an issue(s). _________________ CIO Joined: 02 Oct 2007 Posts: 1217 Followers: 93 Kudos [?]: 799 [0], given: 334 Re: GMAT Diagnostic Test Question 33 [#permalink] 30 Jul 2009, 03:05 The question above is updated. I will update the PDF in a minute too. +1. charimaalu wrote: The Question says '...Ratio of Walnuts is increased by 50%...'. Therefore, the multiplication by '1.5' has to be for Walnuts (Y). Since, this is done to 'X' (Corresponding to Chestnuts), I guess people are confused. However, the answer remains the same. I have solved it, and verified. Thanks for the wonderful effort guys. I really appreciate it. Harry _________________ Welcome to GMAT Club! Want to solve GMAT questions on the go? GMAT Club iPhone app will help. Please read this before posting in GMAT Club Tests forum Result correlation between real GMAT and GMAT Club Tests Are GMAT Club Test sets ordered in any way? Take 15 free tests with questions from GMAT Club, Knewton, Manhattan GMAT, and Veritas. GMAT Club Premium Membership - big benefits and savings SVP Joined: 16 Jul 2009 Posts: 1634 Schools: CBS WE 1: 4 years (Consulting) Followers: 37 Kudos [?]: 530 [0], given: 2 Re: GMAT Diagnostic Test Question 33 [#permalink] 03 Aug 2009, 11:35 20% of walnuts is sold for 1$ more, so:

0,2Y=1 --> Y=5 $Quicker. Regards, -Noboru. _________________ The sky is the limit 800 is the limit GMAT Club Premium Membership - big benefits and savings Manager Joined: 22 Jul 2009 Posts: 192 Followers: 4 Kudos [?]: 219 [0], given: 18 Re: GMAT Diagnostic Test Question 33 [#permalink] 22 Aug 2009, 22:54 Noboru, Could you explain where do you get 20% of walnuts? Thanks _________________ Please kudos if my post helps. Last edited by powerka on 23 Aug 2009, 08:03, edited 1 time in total. SVP Joined: 16 Jul 2009 Posts: 1634 Schools: CBS WE 1: 4 years (Consulting) Followers: 37 Kudos [?]: 530 [0], given: 2 Re: GMAT Diagnostic Test Question 33 [#permalink] 23 Aug 2009, 03:30 powerka wrote: Nobory, Could you explain where do you get 20% of walnuts? Thanks From the question: 33. A kilogram of nut mixture contains X% chestnuts and Y% walnuts and sells for$7.00/kg. If the ratio of walnuts is
increased by 20% so that the new mixture
is sold for $8.00/kg, what is the price of 1 kg of walnuts? _________________ The sky is the limit 800 is the limit GMAT Club Premium Membership - big benefits and savings Founder Affiliations: AS - Gold, HH-Diamond Joined: 04 Dec 2002 Posts: 13020 Location: United States (WA) GMAT 1: 750 Q49 V42 GPA: 3.5 Followers: 2915 Kudos [?]: 15144 [0], given: 3936 Re: GMAT Diagnostic Test Question 33 [#permalink] 23 Aug 2009, 07:10 Expert's post noboru wrote: powerka wrote: Nobory, Could you explain where do you get 20% of walnuts? Thanks From the question: 33. A kilogram of nut mixture contains X% chestnuts and Y% walnuts and sells for$7.00/kg. If the ratio of walnuts is
increased by 20% so that the new mixture
is sold for $8.00/kg, what is the price of 1 kg of walnuts? This question has gone through several revisions (originally 20%) and currently modified to 50%. (The idea behind the test is to revise questions as we find issues with them or cleaner solutions). That's what happened - please download the latest PDF. Thanks! _________________ Founder of GMAT Club Just starting out with GMAT? Start here... | Want to know your GMAT Score? Try GMAT Score Estimator Need GMAT Book Recommendations? Best GMAT Books Co-author of the GMAT Club tests Have a blog? Feature it on GMAT Club! GMAT Club Premium Membership - big benefits and savings Manager Joined: 22 Jul 2009 Posts: 192 Followers: 4 Kudos [?]: 219 [0], given: 18 Re: GMAT Diagnostic Test Question 33 [#permalink] 23 Aug 2009, 09:52 So I guess there's no valid shortcut. Ideas anybody? _________________ Please kudos if my post helps. Intern Joined: 01 Sep 2009 Posts: 4 Followers: 0 Kudos [?]: 0 [0], given: 2 Re: GMAT Diagnostic Test Question 33 [#permalink] 21 Sep 2009, 18:19 Hi, I think there is issue with problem. Last part of the question asks for the price of 1 KG of Walnut, not the price of the walnut in the mixture... I tried in this way .4 kg of X .6 kg of Y total 1 kg. Now increase X by 50%...now it becomes .6 , which means .2 increase costs$1 more. Hence, .4 Kg cost of X will be $2. Remaining$ 5 is for .6 Kg of Y. So for 1 kg of Y will be $8.34 (5/ 0.6) Do you think I am in a right direction ? Manager Joined: 22 Jul 2009 Posts: 192 Followers: 4 Kudos [?]: 219 [0], given: 18 Re: GMAT Diagnostic Test Question 33 [#permalink] 22 Sep 2009, 09:50 adssaini wrote: Hi, I think there is issue with problem. Last part of the question asks for the price of 1 KG of Walnut, not the price of the walnut in the mixture... adssaini: I think you are right. Question does ask for the price of 1 KG of Walnut, not the price of the walnut in the mixture. A0 = C + W = 7 A1 = 1.5C + W = 8 => C=2 => W=5$5 is the price of walnuts in the mixture, not the price of 1 KG of walnuts.

We don't have the value of Y => can't know how many KG of walnuts the mixture has => can't calculate the price of 1 KG of walnuts.
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Re: GMAT Diagnostic Test Question 33 [#permalink]  19 Oct 2009, 02:57
bb wrote:
GMAT Diagnostic Test Question 33
Field: word problems (mixture)
Difficulty: 650
 Rating:

A kilogram of nut mixture contains X% chestnuts and Y% walnuts and sells for $7.00/kg. If the ratio of chestnuts is increased by 50% so that the new mixture is sold for$8.00/kg, what is the price of a kg of walnuts?

A. $1.00 B.$2.50
C. $5.00 D.$7.50
E. \$10.00

I am afraid this question has more than one correct answer unless you provide in the statement one of the percentages of the mixture either the chestnuts content or the walnuts content.
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Re: GMAT Diagnostic Test Question 33 [#permalink]  13 Nov 2009, 10:23
I don't think this isn't a 650 level question...
Re: GMAT Diagnostic Test Question 33   [#permalink] 13 Nov 2009, 10:23

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# GMAT Diagnostic Test Question 33

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