GMAT Club Forum - Forums > Problem Solving (PS) https://gmatclub.com:443/forum/index.php Join the largest GMAT and MBA community at GMAT Club. Get expert advice, free tests, questions and admission tips. Boost your GMAT score and MBA chances en-gb Copyright (c) 2002 GMAT Club Forum mail@gmatclub.com (GMAT Club Forum) mail@gmatclub.com (GMAT Club Forum) Thu, 16 May 2024 00:00:00 -0800 Thu, 16 May 2024 23:46:30 -0800 MSSTI RSS Feed 2.0 Version 1.0.9 - (C) 2008-2009 leviatan21 - http://www.mssti.com/ GMAT Club Forum - Forums > Problem Solving (PS) https://gmatclub.com:443/forum/tps://cdn.gmatclub.com/cdn/files/forum/styles/gmatclub_light/imageset/site_logo.gif https://gmatclub.com:443/forum/index.php 60 Problem Solving (PS) | Re: 45% of 80 is x% more than 24. The value of x = https://gmatclub.com:443/forum/viewtopic.php?p=3397947#p3397947
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(bumpbot)Thu, 16 May 2024 23:41:35 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397947#p3397947
Problem Solving (PS) | Re: If Kayins salary were 20% higher, it would be 20% less than Lorenas. https://gmatclub.com:443/forum/viewtopic.php?p=3397944#p3397944
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Statistics : Posted by bumpbot • on 11 Nov 2020, 09:30 • Replies 4 • Views 1858


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(bumpbot)Thu, 16 May 2024 23:38:35 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397944#p3397944
Problem Solving (PS) | Re: While multiplying four real numbers, John took one of the numbers as 6 https://gmatclub.com:443/forum/viewtopic.php?p=3397942#p3397942
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Statistics : Posted by bumpbot • on 30 May 2019, 19:05 • Replies 5 • Views 1313


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(bumpbot)Thu, 16 May 2024 23:36:43 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397942#p3397942
Problem Solving (PS) | Re: If 6x - 15y = 33, and 6y - x = -18, what is the sum https://gmatclub.com:443/forum/viewtopic.php?p=3397936#p3397936
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Statistics : Posted by bumpbot • on 04 Aug 2020, 07:01 • Replies 6 • Views 3621


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(bumpbot)Thu, 16 May 2024 23:23:21 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397936#p3397936
Problem Solving (PS) | Re: Which of the following is NOT a divisor of x? https://gmatclub.com:443/forum/viewtopic.php?p=3397933#p3397933
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Statistics : Posted by bumpbot • on 14 Jun 2021, 07:48 • Replies 6 • Views 1525


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(bumpbot)Thu, 16 May 2024 23:18:25 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397933#p3397933
Problem Solving (PS) | Re: A box contains fair coins and unfair coins. When one of the unfair coi https://gmatclub.com:443/forum/viewtopic.php?p=3397930#p3397930
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Statistics : Posted by bumpbot • on 13 Sep 2020, 03:29 • Replies 3 • Views 2859


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(bumpbot)Thu, 16 May 2024 23:07:03 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397930#p3397930
Problem Solving (PS) | Re: In a certain company, 55% of the workers are men. If 30% of the worke https://gmatclub.com:443/forum/viewtopic.php?p=3397928#p3397928
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Statistics : Posted by bumpbot • on 31 Jan 2018, 23:58 • Replies 5 • Views 8095


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(bumpbot)Thu, 16 May 2024 23:04:26 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397928#p3397928
GMAT Club Tests | Re: M40-57 https://gmatclub.com:443/forum/viewtopic.php?p=3397927#p3397927
Sum of Four even integers whose sum is equal to 36.
(To get these even integers, 36/4=9. Take even integers close to 9 to get sum as 36. We get (6,8,10,12)

Common integers in these two sets are 6 and 8.

Sum of remaining integers from 1-8 (excluding 6 and 8) = 36-14 = 22

Sum of even integers (6,8,10,12) (excluding common terms (6 and 8)) we get = 36-14 =22

The difference between the sums of the non-identical elements in the two sets= 22-22 =0­

Statistics : Posted by Anugmat740 • on 23 Jan 2024, 01:23 • Replies 4 • Views 889


]]>

Sum of Four even integers whose sum is equal to 36.
(To get these even integers, 36/4=9. Take even integers close to 9 to get sum as 36. We get (6,8,10,12)

Common integers in these two sets are 6 and 8.

Sum of remaining integers from 1-8 (excluding 6 and 8) = 36-14 = 22

Sum of even integers (6,8,10,12) (excluding common terms (6 and 8)) we get = 36-14 =22

The difference between the sums of the non-identical elements in the two sets= 22-22 =0­]]>
(Anugmat740)Thu, 16 May 2024 22:59:50 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397927#p3397927
Problem Solving (PS) | Re: ­­A team of automotive machines have produced an average of 10 cars https://gmatclub.com:443/forum/viewtopic.php?p=3397907#p3397907 Statistics : Posted by mohnish2732 • on 16 May 2024, 13:54 • Replies 1 • Views 96


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(mohnish2732)Thu, 16 May 2024 20:59:44 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397907#p3397907
Problem Solving (PS) | Re: If it would take one machine 10 minutes to fill a large production ord https://gmatclub.com:443/forum/viewtopic.php?p=3397904#p3397904
Iframe

Statistics : Posted by DanTheGMATMan • on 24 Nov 2015, 10:49 • Replies 7 • Views 7783


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Iframe ]]>
(DanTheGMATMan)Thu, 16 May 2024 20:45:16 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397904#p3397904
GMAT Club Tests | Re: V37-09 https://gmatclub.com:443/forum/viewtopic.php?p=3397902#p3397902
This option clearly states that a large proportion 
Now as i can comphrend Proportion means = Students who access Digital + Students who access Physical/Total no of student in college

If Students whii accessd books in physical form decrease and students who access digital increase still the proportion remains same, but it will decrease the physical book reading and use of physical textbooks in the library.

Statistics : Posted by singhrohit9525 • on 01 Jan 2024, 11:16 • Replies 2 • Views 407


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This option clearly states that a large proportion 
Now as i can comphrend Proportion means = Students who access Digital + Students who access Physical/Total no of student in college

If Students whii accessd books in physical form decrease and students who access digital increase still the proportion remains same, but it will decrease the physical book reading and use of physical textbooks in the library.]]>
(singhrohit9525)Thu, 16 May 2024 20:34:47 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397902#p3397902
Problem Solving (PS) | Re: If a is a positive integer, which of the following is equal to (-4^a)^ https://gmatclub.com:443/forum/viewtopic.php?p=3397897#p3397897
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Statistics : Posted by bumpbot • on 10 Feb 2023, 14:50 • Replies 2 • Views 1656


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(bumpbot)Thu, 16 May 2024 19:50:36 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397897#p3397897
Quantitative Questions | Re: Properties of Polygons Questions https://gmatclub.com:443/forum/viewtopic.php?p=3397888#p3397888
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Statistics : Posted by bumpbot • on 02 Dec 2017, 11:53 • Replies 7 • Views 16039


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(bumpbot)Thu, 16 May 2024 19:28:05 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397888#p3397888
Problem Solving (PS) | Re: A wholesaler bought walnuts and peanuts, the price of walnut per kg be https://gmatclub.com:443/forum/viewtopic.php?p=3397883#p3397883
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Statistics : Posted by bumpbot • on 03 Apr 2020, 06:15 • Replies 5 • Views 6130


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(bumpbot)Thu, 16 May 2024 19:09:41 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397883#p3397883
Problem Solving (PS) | Re: Four fair 6-sided dice are rolled once simultaneously. The sides of ea https://gmatclub.com:443/forum/viewtopic.php?p=3397874#p3397874
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Statistics : Posted by bumpbot • on 04 Nov 2021, 04:30 • Replies 2 • Views 1166


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(bumpbot)Thu, 16 May 2024 17:56:19 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397874#p3397874
Problem Solving (PS) | Re: Find the greatest integer less than or equal to k https://gmatclub.com:443/forum/viewtopic.php?p=3397861#p3397861
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Statistics : Posted by bumpbot • on 25 Nov 2020, 19:45 • Replies 3 • Views 2393


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(bumpbot)Thu, 16 May 2024 15:57:35 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397861#p3397861
Problem Solving (PS) | Re: If x is positive, which of the following may be true? https://gmatclub.com:443/forum/viewtopic.php?p=3397858#p3397858
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Statistics : Posted by bumpbot • on 02 Nov 2021, 05:00 • Replies 4 • Views 5381


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(bumpbot)Thu, 16 May 2024 15:27:44 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397858#p3397858
Problem Solving (PS) | Re: At a certain reception, punch is served in glasses of two sizes, small https://gmatclub.com:443/forum/viewtopic.php?p=3397841#p3397841 large glasses required to fill 10 bowls in addition to 72 small glasses

24 small glasses will fill 1 bowl
x small glasses will fill 10 bowls

x = 240, so 240 small glasses will fill 10 bowls and we already have 72 of those

so there are (240-72)small glasses left to fill the bowl and this equals 168small glasses left

Now we need to determine how many large glasses is equal to 168 small glasses

From the question 24 small glasses = 15 large glasses
therefore 168 small glasses = x large glasses

with cross multiplication, x= 105 large glasses
Answer = B­

Statistics : Posted by mooh • on 14 Nov 2023, 10:00 • Replies 5 • Views 2412


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large glasses required to fill 10 bowls in addition to 72 small glasses

24 small glasses will fill 1 bowl
x small glasses will fill 10 bowls

x = 240, so 240 small glasses will fill 10 bowls and we already have 72 of those

so there are (240-72)small glasses left to fill the bowl and this equals 168small glasses left

Now we need to determine how many large glasses is equal to 168 small glasses

From the question 24 small glasses = 15 large glasses
therefore 168 small glasses = x large glasses

with cross multiplication, x= 105 large glasses
Answer = B­]]>
(mooh)Thu, 16 May 2024 13:52:39 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397841#p3397841
Problem Solving (PS) | Re: The average of five positive integers is less than 20. What is the sma https://gmatclub.com:443/forum/viewtopic.php?p=3397840#p3397840
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Statistics : Posted by bumpbot • on 01 Aug 2017, 02:10 • Replies 4 • Views 4776


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(bumpbot)Thu, 16 May 2024 13:51:07 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397840#p3397840
GMAT Club Tests | V23-44 https://gmatclub.com:443/forum/viewtopic.php?p=3397837#p3397837
b) "Future business models" and "highlight". The passage doesn´t focus on business modesl. The author doesn´t highlight the technological advancements, perhaps she is highlighting the positions but no more than that.

c) By presenting two viewpoints and her own worries, last part of the second paragraph and first part of the third one, she is, in simple words, making the organizations to think about the matter. So, this is the closest one, even no perfect.

d) "To provide a comprehensive overview of the current state of AI technology in decision-making processes.".
...

Statistics : Posted by Josvit • on 01 Feb 2024, 21:39 • Replies 4 • Views 835


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b) "Future business models" and "highlight". The passage doesn´t focus on business modesl. The author doesn´t highlight the technological advancements, perhaps she is highlighting the positions but no more than that.

c) By presenting two viewpoints and her own worries, last part of the second paragraph and first part of the third one, she is, in simple words, making the organizations to think about the matter. So, this is the closest one, even no perfect.

d) "To provide a comprehensive overview of the current state of AI technology in decision-making processes.".
...]]>
(Josvit)Thu, 16 May 2024 13:40:50 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397837#p3397837
GMAT Club Tests | Re: M40-53 https://gmatclub.com:443/forum/viewtopic.php?p=3397835#p3397835 Josvit wrote:

Bunuel wrote:
OfficialSolution:

To reduce the strength of a 100% ammonia solution, it is diluted with distilled water in a three-stage process. During each stage, 10% of the container's volume is replaced with distilled water. After the completion of these three stages, what percentage of the container's volume is water?

A. 25%
B. 27.1%
C. 30%
D. 70%
E. 72.9%


In each stage of dilution, 10% of the container's volume is replaced with distilled water. This means that after the first stage, the solution is 90% ammonia and 10% water. In the second stage, another 10% of the remaining volume is replaced with distilled water, so it becomes 90% of 90% ammonia (81% ammonia) and 19% water. Finally, in the third stage, another 10% of the remaining volume is replaced with distilled water, so it becomes 90% of 81% ammonia (72.9% ammonia) and 27.1% water.

So, after the completion of these three stages, the solution contains 27.1% water.


Answer:B

I believe some additional details would
...

Statistics : Posted by Bunuel • on 22 Jan 2024, 02:14 • Replies 3 • Views 481


]]> Josvit wrote:

Bunuel wrote:
OfficialSolution:

To reduce the strength of a 100% ammonia solution, it is diluted with distilled water in a three-stage process. During each stage, 10% of the container's volume is replaced with distilled water. After the completion of these three stages, what percentage of the container's volume is water?

A. 25%
B. 27.1%
C. 30%
D. 70%
E. 72.9%


In each stage of dilution, 10% of the container's volume is replaced with distilled water. This means that after the first stage, the solution is 90% ammonia and 10% water. In the second stage, another 10% of the remaining volume is replaced with distilled water, so it becomes 90% of 90% ammonia (81% ammonia) and 19% water. Finally, in the third stage, another 10% of the remaining volume is replaced with distilled water, so it becomes 90% of 81% ammonia (72.9% ammonia) and 27.1% water.

So, after the completion of these three stages, the solution contains 27.1% water.


Answer:B

I believe some additional details would
...]]> (Bunuel)Thu, 16 May 2024 13:25:04 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397835#p3397835 Problem Solving (PS) | Re: Shikha invested 32000 Rs. at simple interest for 2 years at the rate https://gmatclub.com:443/forum/viewtopic.php?p=3397834#p3397834
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Statistics : Posted by bumpbot • on 07 Apr 2020, 19:25 • Replies 3 • Views 2930


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(bumpbot)Thu, 16 May 2024 13:21:16 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397834#p3397834
Problem Solving (PS) | Re: A certain investment grows at an annual interest rate of 16 percent https://gmatclub.com:443/forum/viewtopic.php?p=3397821#p3397821 Bunuel wrote:

A certain investment grows at an annual interest rate of 16 percent, compounded quarterly. Which of the following equations can be solved to find the number of years, x, that it would take for the investment to increase by a factor of 81?


(A) \(81 = 1.16^{4x}\)

(B) \(81 = 1.04^x\)

(C) \(3 = 1.16^x\)

(D) \(3 = 1.04^{4x}\)

(E) \(3 = 1.04^x\)

Are You Up For the Challenge: 700 Level Questions

­The question says that the amount is increased "by" a factor of 81 and not "to" a factor 81. Isn't the total amount should be (81+1)*(Initial Amount). 

Could you help explain with an example the mistake I'm making?

Statistics : Posted by ssinghal087 • on 22 Mar 2022, 02:30 • Replies 4 • Views 2494


]]>
Bunuel wrote:

A certain investment grows at an annual interest rate of 16 percent, compounded quarterly. Which of the following equations can be solved to find the number of years, x, that it would take for the investment to increase by a factor of 81?


(A) \(81 = 1.16^{4x}\)

(B) \(81 = 1.04^x\)

(C) \(3 = 1.16^x\)

(D) \(3 = 1.04^{4x}\)

(E) \(3 = 1.04^x\)

Are You Up For the Challenge: 700 Level Questions

­The question says that the amount is increased "by" a factor of 81 and not "to" a factor 81. Isn't the total amount should be (81+1)*(Initial Amount). 

Could you help explain with an example the mistake I'm making?]]>
(ssinghal087)Thu, 16 May 2024 12:36:46 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397821#p3397821
Problem Solving (PS) | Re: An item, when sold at a certain price, yields r% profit. Had it been s https://gmatclub.com:443/forum/viewtopic.php?p=3397816#p3397816
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Statistics : Posted by bumpbot • on 01 Mar 2019, 10:36 • Replies 12 • Views 9238


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(bumpbot)Thu, 16 May 2024 11:58:07 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397816#p3397816
Problem Solving (PS) | Re: Nine boys and nine girls are watching a magician perform. Four times https://gmatclub.com:443/forum/viewtopic.php?p=3397807#p3397807
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Statistics : Posted by bumpbot • on 10 Jan 2022, 06:45 • Replies 2 • Views 1163


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(bumpbot)Thu, 16 May 2024 11:27:52 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397807#p3397807
Problem Solving (PS) | Re: For how many values of x<0 does the equation 0.1x^4 0.5x^2 1.4 = 0 https://gmatclub.com:443/forum/viewtopic.php?p=3397803#p3397803
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Statistics : Posted by bumpbot • on 19 Sep 2018, 21:14 • Replies 3 • Views 1698


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(bumpbot)Thu, 16 May 2024 11:12:55 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397803#p3397803
Problem Solving (PS) | Re: How many positive integers between 200 and 300 (both inclusive) are no https://gmatclub.com:443/forum/viewtopic.php?p=3397798#p3397798
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Statistics : Posted by bumpbot • on 03 Feb 2019, 22:35 • Replies 5 • Views 12912


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(bumpbot)Thu, 16 May 2024 10:58:48 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397798#p3397798
Problem Solving (PS) | Re: The median of nine positive integers is x and the range is 8 more than https://gmatclub.com:443/forum/viewtopic.php?p=3397797#p3397797 Least: Y (we need to determine its value)
Range: x+8

And Range = Greatest - Lesser
15 - y = x+8
7 - x = y

Statistics : Posted by falamos • on 09 Nov 2023, 16:26 • Replies 3 • Views 2505


]]>
Least: Y (we need to determine its value)
Range: x+8

And Range = Greatest - Lesser
15 - y = x+8
7 - x = y]]>
(falamos)Thu, 16 May 2024 10:58:10 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397797#p3397797
Problem Solving (PS) | Re: A trader has lost 15% on a $10,000 investment. He is going to buy a st https://gmatclub.com:443/forum/viewtopic.php?p=3397795#p3397795
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Statistics : Posted by bumpbot • on 19 Mar 2017, 07:11 • Replies 10 • Views 2442


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(bumpbot)Thu, 16 May 2024 10:56:31 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397795#p3397795
Problem Solving (PS) | Re: How many integer solutions does the equation [m][square_root]x[/square https://gmatclub.com:443/forum/viewtopic.php?p=3397790#p3397790
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Statistics : Posted by bumpbot • on 02 Feb 2021, 09:09 • Replies 4 • Views 1148


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(bumpbot)Thu, 16 May 2024 10:45:42 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397790#p3397790
GMAT Club Tests | M06-11 https://gmatclub.com:443/forum/viewtopic.php?p=3397789#p3397789
It gives 105.

P.d.
if you cross out the numbers while simplifying, make sure that you are crossing out very well, if not you may end up multiplying by a number that had been eliminated already. For example, if you crossed out 4 and then thought that it is still there, you may have multiplied by 4 and got 420.­ And guess what 420 is an answer choice.

Statistics : Posted by Josvit • on 16 Sep 2014, 00:27 • Replies 7 • Views 47858


]]>

It gives 105.

P.d.
if you cross out the numbers while simplifying, make sure that you are crossing out very well, if not you may end up multiplying by a number that had been eliminated already. For example, if you crossed out 4 and then thought that it is still there, you may have multiplied by 4 and got 420.­ And guess what 420 is an answer choice.]]>
(Josvit)Thu, 16 May 2024 10:42:18 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397789#p3397789
Problem Solving (PS) | Re: If x^2 + kx - 72 = 0 has integer roots, how many integer values can k https://gmatclub.com:443/forum/viewtopic.php?p=3397787#p3397787
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Statistics : Posted by bumpbot • on 06 Jun 2020, 19:02 • Replies 20 • Views 8197


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(bumpbot)Thu, 16 May 2024 10:41:39 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397787#p3397787
Problem Solving (PS) | Re: The average (arithmetic mean) of the integers from 200 to https://gmatclub.com:443/forum/viewtopic.php?p=3397786#p3397786
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Statistics : Posted by bumpbot • on 14 Jun 2012, 02:27 • Replies 17 • Views 84718


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(bumpbot)Thu, 16 May 2024 10:35:41 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397786#p3397786
GMAT Club Tests | Re: M41-25 https://gmatclub.com:443/forum/viewtopic.php?p=3397783#p3397783
The thing here is that we have two restrictions, the equation and that 2x + 8 needs to be non-negative.

|x+10|= 2x + 8;

x+10 = 2x + 8 OR x+10= -2x -8

Then we have x= 2 OR x= -6; but -6 doesn´t meet that 2x+8 has to be non-negative. So, only x=2 works.

Statistics : Posted by Josvit • on 12 May 2024, 02:19 • Replies 2 • Views 85


]]>

The thing here is that we have two restrictions, the equation and that 2x + 8 needs to be non-negative.

|x+10|= 2x + 8;

x+10 = 2x + 8 OR x+10= -2x -8

Then we have x= 2 OR x= -6; but -6 doesn´t meet that 2x+8 has to be non-negative. So, only x=2 works.]]>
(Josvit)Thu, 16 May 2024 10:31:01 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397783#p3397783
Problem Solving (PS) | Re: If f(x) = x/(x + 1), what is f(1/x) in terms of x ? https://gmatclub.com:443/forum/viewtopic.php?p=3397780#p3397780 Official Solution:

If \(f(x) = \frac{x}{x + 1}\), what is \(f(\frac{1}{x})\) in terms of \(f(x)\)?

A. \(f(x)\)
B. \(-f(x)\)
C. \(\frac{1}{f(x)}\)
D. \(1 - f(x)\)
E. none of the above


\(f(\frac{1}{x})= \frac{\frac{1}{x} }{\frac{1}{x} + 1} =\)

\(= \frac{\frac{1}{x} }{(\frac{1+x}{x})} =\)

\(=\frac{1}{x} *\frac{x}{x+1} =\)

\(=\frac{1}{1 + x} =\)

\(=\frac{(1 + x) - x}{1 + x} =\)

\(=\frac{1 + x}{1 + x}-\frac{x}{1+x}=\)

\(=1 - \frac{x}{1 + x} =\)

\(=1 - f(x)\)


Answer: D­

Statistics : Posted by Bunuel • on 12 Nov 2007, 14:44 • Replies 6 • Views 19879


]]>
Official Solution:

If \(f(x) = \frac{x}{x + 1}\), what is \(f(\frac{1}{x})\) in terms of \(f(x)\)?

A. \(f(x)\)
B. \(-f(x)\)
C. \(\frac{1}{f(x)}\)
D. \(1 - f(x)\)
E. none of the above


\(f(\frac{1}{x})= \frac{\frac{1}{x} }{\frac{1}{x} + 1} =\)

\(= \frac{\frac{1}{x} }{(\frac{1+x}{x})} =\)

\(=\frac{1}{x} *\frac{x}{x+1} =\)

\(=\frac{1}{1 + x} =\)

\(=\frac{(1 + x) - x}{1 + x} =\)

\(=\frac{1 + x}{1 + x}-\frac{x}{1+x}=\)

\(=1 - \frac{x}{1 + x} =\)

\(=1 - f(x)\)


Answer: D­]]>
(Bunuel)Thu, 16 May 2024 10:23:08 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397780#p3397780
GMAT Club Tests Archive | M19#14 https://gmatclub.com:443/forum/viewtopic.php?p=3397779#p3397779 http://gmatclub.com/forum/topic-184194.html

Statistics : Posted by bumpbot • on 16 May 2024, 10:21 • Replies 0 • Views 7455


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http://gmatclub.com/forum/topic-184194.html]]> (bumpbot)Thu, 16 May 2024 10:21:33 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397779#p3397779
GMAT Club Tests | Re: M19#14 https://gmatclub.com:443/forum/viewtopic.php?p=3397777#p3397777
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Statistics : Posted by bumpbot • on 16 Sep 2014, 01:06 • Replies 10 • Views 35044


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(bumpbot)Thu, 16 May 2024 10:21:33 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397777#p3397777
Problem Solving (PS) | Re: John and Jane started solving a quadratic equation. John mad https://gmatclub.com:443/forum/viewtopic.php?p=3397759#p3397759
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Statistics : Posted by bumpbot • on 20 Dec 2010, 08:20 • Replies 11 • Views 20684


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(bumpbot)Thu, 16 May 2024 09:35:09 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397759#p3397759
Problem Solving (PS) | Re: A total of s oranges are to be packaged in boxes that will hold r oran https://gmatclub.com:443/forum/viewtopic.php?p=3397745#p3397745
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Statistics : Posted by bumpbot • on 14 Jun 2016, 14:59 • Replies 16 • Views 56431


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(bumpbot)Thu, 16 May 2024 08:57:17 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397745#p3397745
Problem Solving (PS) | Re: In how many ways can 5 people from a group of 6 people be seated aroun https://gmatclub.com:443/forum/viewtopic.php?p=3397734#p3397734
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Statistics : Posted by bumpbot • on 10 Feb 2020, 03:55 • Replies 5 • Views 4372


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(bumpbot)Thu, 16 May 2024 08:13:04 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397734#p3397734
Problem Solving (PS) | Re: If the operation @ is defined by x@y=(xy)^1/2 for all https://gmatclub.com:443/forum/viewtopic.php?p=3397719#p3397719
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Statistics : Posted by bumpbot • on 17 Dec 2012, 07:43 • Replies 8 • Views 29162


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(bumpbot)Thu, 16 May 2024 07:43:30 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397719#p3397719
Problem Solving (PS) | Re: A farmer spent $35 on feed for chickens and goats. He spent https://gmatclub.com:443/forum/viewtopic.php?p=3397718#p3397718
Iframe

Statistics : Posted by DanTheGMATMan • on 21 Apr 2012, 10:03 • Replies 11 • Views 14349


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Iframe ]]>
(DanTheGMATMan)Thu, 16 May 2024 07:41:42 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397718#p3397718
Problem Solving (PS) | Re: If x -1, then (1 - x^16)/((1 + x)(1 + x^2)(1 + x^4)(1 + x^8)) is https://gmatclub.com:443/forum/viewtopic.php?p=3397714#p3397714
Iframe ­

Statistics : Posted by DanTheGMATMan • on 06 Jun 2014, 03:03 • Replies 5 • Views 11261


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Iframe ­]]>
(DanTheGMATMan)Thu, 16 May 2024 07:35:26 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397714#p3397714
Problem Solving (PS) | Re: Due to construction, the speed limit along an 8-mile section of highwa https://gmatclub.com:443/forum/viewtopic.php?p=3397710#p3397710
Iframe

Statistics : Posted by DanTheGMATMan • on 07 Apr 2011, 06:46 • Replies 14 • Views 16882


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Iframe ]]>
(DanTheGMATMan)Thu, 16 May 2024 07:28:55 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397710#p3397710
Problem Solving (PS) | Re: A certain office supply store stocks 2 sizes of self-stick notepads https://gmatclub.com:443/forum/viewtopic.php?p=3397709#p3397709 AKhannaLko wrote:

Hi Bunuel,

I can't understand this question or any of the solutions one bit, can you please helpme..

Bunuel wrote:
anilnandyala wrote:
bunuel can you make me more clear, how it is 4 books of same colour

thanku

Sure.

As the pads are packed in packages that contain only the notepads of samesize then let's calculate for one size and then multiply it by 2 to get total.

There are 4 colors so there are 4 different packages possible with 3 same color notepads: all 3 Blue, all 3 Green, all 3 Yellow, or all 3 Purple;

For 3 different color pads: again as there are 4 colors then 4C3=4 is the # of ways to choose 3 different color pads to make a package: {BGY}, {BGP}, {BYP}, {GYP};

So for one size there are 4+4=8 packages possible thus for 2 sizes there are 8*2=16 packages possible.

Answer: C.

Hope it'sclear.


­This question is not from this planet!  I too cannot understand a bit of any of the provided solutions. It is as if they explain it in an Alien language to me.
...

Statistics : Posted by Rebaz • on 17 Apr 2010, 10:05 • Replies 19 • Views 47040


]]>
AKhannaLko wrote:

Hi Bunuel,

I can't understand this question or any of the solutions one bit, can you please helpme..

Bunuel wrote:
anilnandyala wrote:
bunuel can you make me more clear, how it is 4 books of same colour

thanku

Sure.

As the pads are packed in packages that contain only the notepads of samesize then let's calculate for one size and then multiply it by 2 to get total.

There are 4 colors so there are 4 different packages possible with 3 same color notepads: all 3 Blue, all 3 Green, all 3 Yellow, or all 3 Purple;

For 3 different color pads: again as there are 4 colors then 4C3=4 is the # of ways to choose 3 different color pads to make a package: {BGY}, {BGP}, {BYP}, {GYP};

So for one size there are 4+4=8 packages possible thus for 2 sizes there are 8*2=16 packages possible.

Answer: C.

Hope it'sclear.


­This question is not from this planet!  I too cannot understand a bit of any of the provided solutions. It is as if they explain it in an Alien language to me.
...]]>
(Rebaz)Thu, 16 May 2024 07:27:05 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397709#p3397709
Problem Solving (PS) | Re: If x/|y| = -1 which of the following must be true? https://gmatclub.com:443/forum/viewtopic.php?p=3397707#p3397707
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Statistics : Posted by bumpbot • on 17 Jul 2016, 10:36 • Replies 9 • Views 33290


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(bumpbot)Thu, 16 May 2024 07:25:01 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397707#p3397707
GMAT Club Tests | Re V01-02 https://gmatclub.com:443/forum/viewtopic.php?p=3397702#p3397702 poor-quality question and I don't agree with the explanation. The official explanation says that option B is correct, and then says that option E is also correct. Please fix this

Statistics : Posted by leepcoast • on 16 Sep 2014, 01:53 • Replies 26 • Views 179880


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poor-quality question and I don't agree with the explanation. The official explanation says that option B is correct, and then says that option E is also correct. Please fix this]]> (leepcoast)Thu, 16 May 2024 07:11:15 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397702#p3397702
Quantitative Questions | Re: Probability and Geometry Problems https://gmatclub.com:443/forum/viewtopic.php?p=3397692#p3397692 anushridi wrote:
Bunuel wrote:

PROBABILITY ANDGEOMETRY




!
This post is a part of the Special QuestionsDirectory focusing on Quant topics traditionally neglected and not covered by conventional sources but still tested on the GMAT. Many of these are above average difficultyquestions

Check below the questions which combine those two toughcategories.

https://gmatclub.com/forum/in-the-xy-pl ... 88395.html
https://gmatclub.com/forum/in-the-coord ... 04869.html
https://gmatclub.com/forum/a-5-meter-lo ... 06448.html
https://gmatclub.com/forum/a-triangle-w
...

Statistics : Posted by Bunuel • on 17 Jun 2014, 01:28 • Replies 3 • Views 19532


]]> anushridi wrote:
Bunuel wrote:

PROBABILITY ANDGEOMETRY




!
This post is a part of the Special QuestionsDirectory focusing on Quant topics traditionally neglected and not covered by conventional sources but still tested on the GMAT. Many of these are above average difficultyquestions

Check below the questions which combine those two toughcategories.

https://gmatclub.com/forum/in-the-xy-pl ... 88395.html
https://gmatclub.com/forum/in-the-coord ... 04869.html
https://gmatclub.com/forum/a-5-meter-lo ... 06448.html
https://gmatclub.com/forum/a-triangle-w
...]]> (Bunuel)Thu, 16 May 2024 06:52:54 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397692#p3397692 Quantitative Questions | Difference of Squares https://gmatclub.com:443/forum/viewtopic.php?p=3397681#p3397681
gmat_grand_master wrote:

How do I go from:
(X^2 - 25)^2

To:
(X+5)^2 (X-5)^2

Posted from my mobile device

\((X^2 - 25)^2 =(X^2-5^2)^2=((X-5)(X+5))^2= (X-5)^2 (X+5)^2­\)­

Statistics : Posted by chetan2u • on 16 May 2024, 04:11 • Replies 1 • Views 57


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gmat_grand_master wrote:

How do I go from:
(X^2 - 25)^2

To:
(X+5)^2 (X-5)^2

Posted from my mobile device

\((X^2 - 25)^2 =(X^2-5^2)^2=((X-5)(X+5))^2= (X-5)^2 (X+5)^2­\)­]]>
(chetan2u)Thu, 16 May 2024 06:22:55 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397681#p3397681 Problem Solving (PS) | If © denotes one of three arithmetic operations, addition, subtraction https://gmatclub.com:443/forum/viewtopic.php?p=3397678#p3397678 Now, keeping this in mind, after several trial of different numbers with addition and subtraction, we can easily figure out that addition and subtruction do not justify the quation, 2©x>x©2 i.e. 2+2>2+2 or 2-2>2-2.
However, if we consider division and the value of X equal 1, then euation becomes, 2>1/2, which is certainly true.
So, Answer B.
 ­

Statistics : Posted by prantorboni • on 16 May 2024, 01:30 • Replies 3 • Views 139


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Now, keeping this in mind, after several trial of different numbers with addition and subtraction, we can easily figure out that addition and subtruction do not justify the quation, 2©x>x©2 i.e. 2+2>2+2 or 2-2>2-2.
However, if we consider division and the value of X equal 1, then euation becomes, 2>1/2, which is certainly true.
So, Answer B.
 ­]]>
(prantorboni)Thu, 16 May 2024 06:17:53 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3397678#p3397678