According to a research of 1000 individuals, 70% of the people who wer

Question

According to a research of 1000 individuals, 70% of the people who were part of Genco Slimming centre's weight loss program, lost an average of 4 pounds of weight in one month. However the same research also found that 80% of the people, who lost an average of 4 pounds of weight in that month, did not attend Genco Slimming centre's weight loss program.

Which of the following conclusions can most properly be drawn from the information above?

Which of the following conclusions can most properly be drawn from the information above?

A. The number of people who were part of Genco's weight loss program is greater than the number of people who lost an average of more than 4 pounds of weight in that month

B. The people who did not join Genco's weight loss program and yet managed to lose an average of 4 pounds of weight in a month must have followed a very strict exercise regime of their own

C. The number of people who did not join Genco's weight loss program and who lost less than an average of 4 pounds of weight in the month is lower than the number of people who attended Genco's weight loss program and lost less than an average of 4 pounds of weight

D. The number of people who did not join Genco's weight loss program and who still managed to lose an average of more than 4 pounds of weight in that month is greater than the total number of people who joined Genco's weight loss program

E. The chances of a person losing an average of more than 4 pounds of weight in one month are higher if the person does not join Genco's weight loss program

akshata19 · Accepted Answer

Analysis of data :
Total = 1000
Assume x out of 1000 -> lost avg weight of 4 pound in one month
80% of x -> lost weight but did not attend weight loss program
Remaning 20% of x -> lost weight but attended the loss program = 70 % of (who attended the program and lost weight) [they are equal]

Which of the following conclusions can most properly be drawn from the information above?

A. The number of people who were part of Genco's weight loss program is greater than the number of people who lost an average of more than 4 pounds of weight in that month
-Don't know how many attended the weight loss program , only detail we have is how many lost weight who attended. Cannot conclude this

B. The people who did not join Genco's weight loss program and yet managed to lose an average of 4 pounds of weight in a month must have followed a very strict exercise regime of their own
- cannot conclude they might have lose weight by following own diet plan or other factors. Hence cannot be drawn from the paragraph information

C.The number of people who did not join Genco's weight loss program and who lost less than an average of 4 pounds of weight in the month is lower than the number of people who attended Genco's weight loss program and lost less than an average of 4 pounds of weight
-we have no details regarding people who lost "less than average" .Passage only talks about "lost an average" So directly eliminate this option

D. The number of people who did not join Genco's weight loss program and who still managed to lose an average of more than 4 pounds of weight in that month is greater than the total number of people who joined Genco's weight loss program
- conclusion can be drawn from data 80% of x > 20 % of x . CORRECT

E.The chances of a person losing an average of more than 4 pounds of weight in one month are higher if the person does not join Genco's weight loss program
- an average "more than 4 pounds" is not mentioned in passsage. Eliminate for same reason as C

Kudos please if explanation helped . Have a good day

hotshot02 · Answer

Let A = 70% of the people who joined weight loss program, lost avg of 4 pounds in that month.
 B = 80% of the people who lost an avg of 4 pounds in that month

clearly A is subset of B.

Therefore option D is true,

The number of people who did not join Genco's weight loss program and who still managed to lose an average of more than 4 pounds of weight in that month is greater than the total number of people who joined Genco's weight loss program

raghaw · Answer

Let x is the number of people who joined the Genco's weight loss program.
Total number of people who joined the Genco's weight loss program and lost an average of 4 pounds of weight in one month = 0.7x
Total number of people who did not join the Genco's weight loss program and lost an average of 4 pounds of weight in one month = (0.7*0.8/0.2) x = 2.8 x (clearly it's greater than x)

So option D

manishtank1988 · Answer

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In this question - this is what i did:
# of people who are part of GSP - x
70% lost avg. of 4 pounds in month = 0.7x
  ( question doesn't say anything about > 4 pounds but ideally i assume 50%   ) => 0.35x lost > 4 pounds in month

# of people who lost 4 pounds in month = y
80% lost avg. of 4 pounds in month = 0.8y
> 4 pounds => 0.4y

I am not able to figure out how can we say 0.4y > 0.35x? 
We don't know what is the exact value of x and y. What am i missing, can someone please clarify?

I also did this:
-----------------lost 4 pounds----------Not lost 4 pounds 
Join GSP--------0.7x = 0.2y------------------------------------------x
Not Join GSP--------0.8y------------------------------------------ something
-------------------------y-------------------(1000-y)-----------------1000
So, we can say that:
0.7x = 0.2y 
7x = 2y
x/y = 2/7 and y > x

D. The number of people who did not join Genco's weight loss program and who still managed to lose an average of    more than 4 pounds of weight    in that month is greater than the total number of people who joined Genco's weight loss program
   
But still as ans is D and question stem doesn't say ANYTHING ABOUT > 4 pounds a month HOW do we know that # of people who lost > 4 pounds without joining GSP is more than those who joined GSP?
   
Thanks

manishtank1988 · Answer

In this question - this is what i did:
# of people who are part of GSP - x
70% lost avg. of 4 pounds in month = 0.7x
(question doesn't say anything about > 4 pounds but ideally i assume 50%) => 0.35x lost > 4 pounds in month

# of people who lost 4 pounds in month = y
80% lost avg. of 4 pounds in month = 0.8y
> 4 pounds => 0.4y

I am not able to figure out how can we say 0.4y > 0.35x? 
We don't know what is the exact value of x and y. What am i missing, can someone please clarify?
Thanks

sandaki · Answer

# of people who are part of GSP - x
70% lost avg. of 4 pounds in month = 0.7x

# of people who lost 4 pounds in month = y
80% lost avg. of 4 pounds in month = 0.8y , so remaing 0.2y lost weight through GSP,so 0.2y=0.7x

you want to know how 0.4y > 0.35x. Use the above equation,what is 0.35x? it is 0.1y. So 0.4y>0.1y...

Hope it helps

manishtank1988 · Answer

sandaki - First of all thanks for your response: Yes, i did notice that but, here, i am making an ASSUMPTION that 50% lost > 4 pounds and other 50% lost < 4 pounds. Again, this is NOT given to us anywhere in this problem. So it is very well possible that 0.1y > 0.7x (depending on the values of x & y eg y = 100 and x = 10 => 10 > 7 ) & (depending on the values of x & y eg y = 10 and x = 10 => 1 < 7). So this is the thing i don't understand. How can we say D or any option is correct? I hope i conveyed my confusion. Please let me know what you think!!! :?:

r19 · Answer

same confusion like MAnish's and so opted out D and choose B

ShashankDave · Answer

Hi  akshata19

I dont think you're right. See the text of the question below.

According to a research of 1000 individuals, 70% of the people who were part of Genco Slimming centre's weight loss program, lost an average of 4 pounds of weight in one month. However the same research also found that 80% of the people, who lost an average of 4 pounds of weight in that month, did not attend Genco Slimming centre's weight loss program.

Which of the following conclusions can most properly be drawn from the information above?

It is nowhere mentioned that they lost more than average of 4 pounds of weight, which is written in D.

IMHO, the question is either wrong, or incorrectly posted.

mikemcgarry   IanStewart , your help is appreciated.

Doer01 · Answer

Presence of "more" in the answer choice got me confused and I rejected this answer choice. Does this happen in real GMAT test too?

PedroBodnar · Answer

Jesus, I took 6 mins to go through all the answer choices in order to make sure D was the correct one.

Any way to solve this kind of Quant question disguised as CR questions faster?

sagarraj1986 · Answer

Yes, I have to agree with other posters, the answers do not seem right.

Posted from my mobile device

PearlRay · Answer

I try to solve these questions by using the two table- overlapping set method.

Program Lost avg 4 lbs. ( Didnt lose avg 4 lbs) TOTAL
 Genco 0.7X 0.3X X
 Non-Genco 0.8Y (A) 1000-X
 Total Y 1000-Y 1000

So D) is saying is A>0.3X
A=1000-Y-0.3X
Therefore A>0.3X

rahulkashyap · Answer

You'd need a slight modification in your calculations. 0.2 x is the number of people who lost weight and attended the program. However, the stem says "total number of people attending the program" hence you'd have to divide 0.2x by 0.7 to get the "number of people attending the program"

Posted from my mobile device

gvij2017 · Answer

After a long self-deliberation, I concluded the logic as below.

Suppose, People who lost 4 pounds= p 
now there are two category- one who joined the program and the other who didn't join the program. 
Now Suppose x joined the program.  means x < p.  
now according to question weight loss 4 pounds plus people who joined the program is 70% or equal to 0.7x.
Now question says that 80% of who lost 4 pounds= 0.8p didn't join the program.

Now lets compare 0.8p and 0.7x. Which is greater?
Clearly, it is 0.8p> 0.7x.

Hope my explanation is convincing and to the point.

user9123 · Answer

What's the source of this problem? I'm not convinced this is a great problem. As others have mentioned, there are ways to work the numbers so that D isn't true based on the wording.

You could have 100 people lose 32 lbs and 700 people lose 0 lbs and your average is still 4 lbs lost per person. But only 100 people have actually lost more than 4 lbs.

Posted from my mobile device

mdhyan2012 · Answer

I went with the flow and grasped what i could. And below is my analysis:

Total Sample - 1000
 people who lost more than 4 - 70% = .70 * 1000 = 700
 people who lost less than 4 = .30 * 1000 = 300
 people who lost more than 4 yet didn't attend the program = 80% of 70% of 1000 = 560
 people who lost more than 4 and attended the program = 20% of 70% of 1000 = 140

560 > 140 + 300, even if we consider that all the people who lost less than 4 actually attended the program.

So, D is correct I think

Jag27 · Answer

Hi,

Let me try to answer this in a simple manner with only one variable "x"

Let total number of people who lost 4 pounds be X,

1--> the total number of people who did not take GSP(genco slimming program) and yet lost 4 pounds is 0.8 X
2--> Assuming the rest all joined GSP which is 0.2X, then that has to be equal to the 70 % of people joined GSP and lost 4 pounds. 
3--> So even if we add the remaining 30 % to above 70%= 0.2X, it will always be less than 0.8 X
4--> Correct option is D

samc88 · Answer

1000 total people

70%  lost 4 pounds in a month ->  so 700 people

Of those  700 people, 80%  didn't go to the program ->  560 people

1,000  Total People 
 560  Lost 4 pounds and didn't go to the program
 140  Lost 4 pounds and did go to the program
 300  We don't know much about

D. The number of people who did not join Genco's weight loss program and who still managed to lose an average of more than 4 pounds of weight in that month is greater than the total number of people who joined Genco's weight loss program

560 > 1000-560
560 > 440 (with the 440 being the upper limit for the number of people who went to the weight loss program)

Hence D is true

According to a research of 1000 individuals, 70% of the people who wer

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According to a research of 1000 individuals, 70% of the people who wer

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