cooking

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cooking

by shibal » Thu Jul 16, 2009 4:20 am
A group of people participate in some curriculums, 20 of them practice Yoga, 10 study cooking, 12 study weaving, 3 of them study cooking only, 4 of them study both the cooking and yoga, 2 of them participate all curriculums. How many people study both cooking and weaving?

OA 1
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Re: cooking

by ketkoag » Thu Jul 16, 2009 1:35 pm
shibal wrote:A group of people participate in some curriculums, 20 of them practice Yoga, 10 study cooking, 12 study weaving, 3 of them study cooking only, 4 of them study both the cooking and yoga, 2 of them participate all curriculums. How many people study both cooking and weaving?

OA 1
IMO it is not possible that 2 people participate in all curriculums but only 1 participate in both cooking and weaving..
it should be more than or equal to 2..
i am getting 5..
please check..

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by tohellandback » Thu Jul 16, 2009 2:08 pm
check the file attached
values of a,b,and C can change but number of people who do both cooking and weaving has to be 1
sorry for my bad painting skills
Attachments
soln.JPG
The powers of two are bloody impolite!!

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Re: cooking

by ketkoag » Fri Jul 17, 2009 2:31 pm
shibal wrote:A group of people participate in some curriculums, 20 of them practice Yoga, 10 study cooking, 12 study weaving, 3 of them study cooking only, 4 of them study both the cooking and yoga, 2 of them participate all curriculums. How many people study both cooking and weaving?

OA 1
lemme elaborate my solution :
refer to the diagram..
as per the question, 2 participate in all three curriculum.. indicated in the diagram.
then 4 participated in yoga and cooking that means in diagram we need to subtract 2 from 4 in order to avoid overlapping of numbers.
from the question we have 3 people who participate in cooking only.. shown in the diagram..
question asks "How many people study both cooking and weaving"
that means we need to calculate x + 2 as per the diagram..
now, we can get x by considering only cirlce C..
so, as per the diagram, 2 + 2 + 3 + x = 10
therefore, x = 3..
so x + 2 = 5..
hence answer is 5..
Just a logical question tohellandback, how is it possible that the number of people who participate in all three events is 2 but the number of people who participated in two events(C and W) is 1.. number of people who participate in any 2 events should be more than or equal to 2.
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Re: cooking

by tohellandback » Fri Jul 17, 2009 5:54 pm
ketkoag wrote:
shibal wrote:A group of people participate in some curriculums, 20 of them practice Yoga, 10 study cooking, 12 study weaving, 3 of them study cooking only, 4 of them study both the cooking and yoga, 2 of them participate all curriculums. How many people study both cooking and weaving?

OA 1
lemme elaborate my solution :
refer to the diagram..
as per the question, 2 participate in all three curriculum.. indicated in the diagram.
then 4 participated in yoga and cooking that means in diagram we need to subtract 2 from 4 in order to avoid overlapping of numbers.
from the question we have 3 people who participate in cooking only.. shown in the diagram..
question asks "How many people study both cooking and weaving"
that means we need to calculate x + 2 as per the diagram..
now, we can get x by considering only cirlce C..
so, as per the diagram, 2 + 2 + 3 + x = 10
therefore, x = 3..
so x + 2 = 5..
hence answer is 5..
Just a logical question tohellandback, how is it possible that the number of people who participate in all three events is 2 but the number of people who participated in two events(C and W) is 1.. number of people who participate in any 2 events should be more than or equal to 2.
In set questions, when there is a statement like "4 people study both cooking and weaving" AND there is another statement like "2 study all the three" then you need to keep them separate and not mix them together like you have done.

oh and explanation to your logical question: yes it is possible because they are two different things. the "number of people who participate in all three events " is not the same as "the total number of people who study more than one event"
The powers of two are bloody impolite!!

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Re: cooking

by raghavsarathy » Fri Jul 17, 2009 8:43 pm
tohellandback wrote:
ketkoag wrote:
shibal wrote:A group of people participate in some curriculums, 20 of them practice Yoga, 10 study cooking, 12 study weaving, 3 of them study cooking only, 4 of them study both the cooking and yoga, 2 of them participate all curriculums. How many people study both cooking and weaving?

OA 1
lemme elaborate my solution :
refer to the diagram..
as per the question, 2 participate in all three curriculum.. indicated in the diagram.
then 4 participated in yoga and cooking that means in diagram we need to subtract 2 from 4 in order to avoid overlapping of numbers.
from the question we have 3 people who participate in cooking only.. shown in the diagram..
question asks "How many people study both cooking and weaving"
that means we need to calculate x + 2 as per the diagram..
now, we can get x by considering only cirlce C..
so, as per the diagram, 2 + 2 + 3 + x = 10
therefore, x = 3..
so x + 2 = 5..
hence answer is 5..
Just a logical question tohellandback, how is it possible that the number of people who participate in all three events is 2 but the number of people who participated in two events(C and W) is 1.. number of people who participate in any 2 events should be more than or equal to 2.
In set questions, when there is a statement like "4 people study both cooking and weaving" AND there is another statement like "2 study all the three" then you need to keep them separate and not mix them together like you have done.

oh and explanation to your logical question: yes it is possible because they are two different things. the "number of people who participate in all three events " is not the same as "the total number of people who study more than one event"

But in such a case , the word "only" has to be used. In the same question we see a statement "3 of them study cooking only" . Hence for this question we must have the ans as 5. What is the source of this question ?

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Re: cooking

by tohellandback » Fri Jul 17, 2009 8:51 pm
raghavsarathy wrote:
tohellandback wrote:
ketkoag wrote:
shibal wrote:A group of people participate in some curriculums, 20 of them practice Yoga, 10 study cooking, 12 study weaving, 3 of them study cooking only, 4 of them study both the cooking and yoga, 2 of them participate all curriculums. How many people study both cooking and weaving?

OA 1
lemme elaborate my solution :
refer to the diagram..
as per the question, 2 participate in all three curriculum.. indicated in the diagram.
then 4 participated in yoga and cooking that means in diagram we need to subtract 2 from 4 in order to avoid overlapping of numbers.
from the question we have 3 people who participate in cooking only.. shown in the diagram..
question asks "How many people study both cooking and weaving"
that means we need to calculate x + 2 as per the diagram..
now, we can get x by considering only cirlce C..
so, as per the diagram, 2 + 2 + 3 + x = 10
therefore, x = 3..
so x + 2 = 5..
hence answer is 5..
Just a logical question tohellandback, how is it possible that the number of people who participate in all three events is 2 but the number of people who participated in two events(C and W) is 1.. number of people who participate in any 2 events should be more than or equal to 2.
In set questions, when there is a statement like "4 people study both cooking and weaving" AND there is another statement like "2 study all the three" then you need to keep them separate and not mix them together like you have done.

oh and explanation to your logical question: yes it is possible because they are two different things. the "number of people who participate in all three events " is not the same as "the total number of people who study more than one event"

But in such a case , the word "only" has to be used. In the same question we see a statement "3 of them study cooking only" . Hence for this question we must have the ans as 5. What is the source of this question ?
I have never see a question where they say "4 study both cooking and weaving only"or "4 study only both cooking and weaving". when they say both it means that only those 2. Some question might say "4 study only cooking and weaving" and that essentially means both cooking and weaving.

and thats why the answer has to be 1
The powers of two are bloody impolite!!

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by gmat740 » Fri Jul 17, 2009 9:11 pm
Hey there is a simple straight formula for these kinds of questions
Refer to the diagram by" tohellandback"

We need to find the number,which in the diagram has been pointed as "1".Let that number be X

the formula(from unions and intersection of sets)which goes on like this

10 - (4+x -2) = 3
x =5

I doubt the OA is 1

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by tohellandback » Fri Jul 17, 2009 9:17 pm
gmat740 wrote:Hey there is a simple straight formula for these kinds of questions
Refer to the diagram by" tohellandback"

We need to find the number,which in the diagram has been pointed as "1".Let that number be X

the formula(from unions and intersection of sets)which goes on like this

10 - (4+x -2) = 3
x =5

I doubt the OA is 1
and did you consider the number of people who only study cooking?
I don't know what this formula is, but if you agree with my diagram then I am sure the formula is wrong because the total will be more than 10.
The powers of two are bloody impolite!!

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Re: cooking

by ketkoag » Sat Jul 18, 2009 3:23 am
tohellandback wrote:
raghavsarathy wrote:
tohellandback wrote:
ketkoag wrote:
shibal wrote:A group of people participate in some curriculums, 20 of them practice Yoga, 10 study cooking, 12 study weaving, 3 of them study cooking only, 4 of them study both the cooking and yoga, 2 of them participate all curriculums. How many people study both cooking and weaving?

OA 1
lemme elaborate my solution :
refer to the diagram..
as per the question, 2 participate in all three curriculum.. indicated in the diagram.
then 4 participated in yoga and cooking that means in diagram we need to subtract 2 from 4 in order to avoid overlapping of numbers.
from the question we have 3 people who participate in cooking only.. shown in the diagram..
question asks "How many people study both cooking and weaving"
that means we need to calculate x + 2 as per the diagram..
now, we can get x by considering only cirlce C..
so, as per the diagram, 2 + 2 + 3 + x = 10
therefore, x = 3..
so x + 2 = 5..
hence answer is 5..
Just a logical question tohellandback, how is it possible that the number of people who participate in all three events is 2 but the number of people who participated in two events(C and W) is 1.. number of people who participate in any 2 events should be more than or equal to 2.
In set questions, when there is a statement like "4 people study both cooking and weaving" AND there is another statement like "2 study all the three" then you need to keep them separate and not mix them together like you have done.

oh and explanation to your logical question: yes it is possible because they are two different things. the "number of people who participate in all three events " is not the same as "the total number of people who study more than one event"

But in such a case , the word "only" has to be used. In the same question we see a statement "3 of them study cooking only" . Hence for this question we must have the ans as 5. What is the source of this question ?
I have never see a question where they say "4 study both cooking and weaving only"or "4 study only both cooking and weaving". when they say both it means that only those 2. Some question might say "4 study only cooking and weaving" and that essentially means both cooking and weaving.

and thats why the answer has to be 1
I'm afraid that i'll not agree with ur statement "when they say both it means that only those 2 ". It is never like this, atleast in all the questions i came across.. So, i doubt the assumptions u r making in this question..

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Re: cooking

by tohellandback » Sat Jul 18, 2009 4:09 am
ketkoag wrote:
tohellandback wrote:
raghavsarathy wrote:
tohellandback wrote:
ketkoag wrote:
shibal wrote:A group of people participate in some curriculums, 20 of them practice Yoga, 10 study cooking, 12 study weaving, 3 of them study cooking only, 4 of them study both the cooking and yoga, 2 of them participate all curriculums. How many people study both cooking and weaving?

OA 1
lemme elaborate my solution :
refer to the diagram..
as per the question, 2 participate in all three curriculum.. indicated in the diagram.
then 4 participated in yoga and cooking that means in diagram we need to subtract 2 from 4 in order to avoid overlapping of numbers.
from the question we have 3 people who participate in cooking only.. shown in the diagram..
question asks "How many people study both cooking and weaving"
that means we need to calculate x + 2 as per the diagram..
now, we can get x by considering only cirlce C..
so, as per the diagram, 2 + 2 + 3 + x = 10
therefore, x = 3..
so x + 2 = 5..
hence answer is 5..
Just a logical question tohellandback, how is it possible that the number of people who participate in all three events is 2 but the number of people who participated in two events(C and W) is 1.. number of people who participate in any 2 events should be more than or equal to 2.
In set questions, when there is a statement like "4 people study both cooking and weaving" AND there is another statement like "2 study all the three" then you need to keep them separate and not mix them together like you have done.

oh and explanation to your logical question: yes it is possible because they are two different things. the "number of people who participate in all three events " is not the same as "the total number of people who study more than one event"

But in such a case , the word "only" has to be used. In the same question we see a statement "3 of them study cooking only" . Hence for this question we must have the ans as 5. What is the source of this question ?
I have never see a question where they say "4 study both cooking and weaving only"or "4 study only both cooking and weaving". when they say both it means that only those 2. Some question might say "4 study only cooking and weaving" and that essentially means both cooking and weaving.

and thats why the answer has to be 1
I'm afraid that i'll not agree with ur statement "when they say both it means that only those 2 ". It is never like this, atleast in all the questions i came across.. So, i doubt the assumptions u r making in this question..
alrite then I will give you some samples...and these are from reliable sources..

"Out of 150 candidates taking exams, 115 passed in Maths and 123 passed in English, and 96 passed both subjects. How many failed both subjects?"
so according to you the question should be 115 passed in ONLY maths..so and so..
"A school has a total enrollment of 90 students.there are 30 students taking physics, 25 taking english and 13 taking both. What percentage of students are taking either physics or english ? "
same here..you say that this should be taking ONLY physics and so and so..

"Workers are grouped by their areas of expertise and are placed on at least one team. 20 workers are on the marketing team, 30 are on the sales teams, and 40 are on the Vision team. 5 workers are on both the marketing and sales teams, 6 workers are on both the sales and vision teams, 9 workers are on both the marketing and vision teams, and 4 workers are on all three teams. How many workers are there in total?"
again this question should be ONLY BOTH or something like that

a DS question
How many of the students in a certain class are taking both a history and a science course?

(1) Of all the students in the class, 50 are taking a history course.

(2) Of all the students in the class, 70 are taking a science course.

so the statements should be Only a history course?

well no. It's not like that
The powers of two are bloody impolite!!

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Re: cooking

by ketkoag » Sat Jul 18, 2009 10:38 am
tohellandback wrote:
ketkoag wrote:
tohellandback wrote:
raghavsarathy wrote:
tohellandback wrote:
ketkoag wrote:
shibal wrote:A group of people participate in some curriculums, 20 of them practice Yoga, 10 study cooking, 12 study weaving, 3 of them study cooking only, 4 of them study both the cooking and yoga, 2 of them participate all curriculums. How many people study both cooking and weaving?

OA 1
lemme elaborate my solution :
refer to the diagram..
as per the question, 2 participate in all three curriculum.. indicated in the diagram.
then 4 participated in yoga and cooking that means in diagram we need to subtract 2 from 4 in order to avoid overlapping of numbers.
from the question we have 3 people who participate in cooking only.. shown in the diagram..
question asks "How many people study both cooking and weaving"
that means we need to calculate x + 2 as per the diagram..
now, we can get x by considering only cirlce C..
so, as per the diagram, 2 + 2 + 3 + x = 10
therefore, x = 3..
so x + 2 = 5..
hence answer is 5..
Just a logical question tohellandback, how is it possible that the number of people who participate in all three events is 2 but the number of people who participated in two events(C and W) is 1.. number of people who participate in any 2 events should be more than or equal to 2.
In set questions, when there is a statement like "4 people study both cooking and weaving" AND there is another statement like "2 study all the three" then you need to keep them separate and not mix them together like you have done.

oh and explanation to your logical question: yes it is possible because they are two different things. the "number of people who participate in all three events " is not the same as "the total number of people who study more than one event"

But in such a case , the word "only" has to be used. In the same question we see a statement "3 of them study cooking only" . Hence for this question we must have the ans as 5. What is the source of this question ?
I have never see a question where they say "4 study both cooking and weaving only"or "4 study only both cooking and weaving". when they say both it means that only those 2. Some question might say "4 study only cooking and weaving" and that essentially means both cooking and weaving.

and thats why the answer has to be 1
I'm afraid that i'll not agree with ur statement "when they say both it means that only those 2 ". It is never like this, atleast in all the questions i came across.. So, i doubt the assumptions u r making in this question..
alrite then I will give you some samples...and these are from reliable sources..

"Out of 150 candidates taking exams, 115 passed in Maths and 123 passed in English, and 96 passed both subjects. How many failed both subjects?"
so according to you the question should be 115 passed in ONLY maths..so and so..
"A school has a total enrollment of 90 students.there are 30 students taking physics, 25 taking english and 13 taking both. What percentage of students are taking either physics or english ? "
same here..you say that this should be taking ONLY physics and so and so..

"Workers are grouped by their areas of expertise and are placed on at least one team. 20 workers are on the marketing team, 30 are on the sales teams, and 40 are on the Vision team. 5 workers are on both the marketing and sales teams, 6 workers are on both the sales and vision teams, 9 workers are on both the marketing and vision teams, and 4 workers are on all three teams. How many workers are there in total?"
again this question should be ONLY BOTH or something like that

a DS question
How many of the students in a certain class are taking both a history and a science course?

(1) Of all the students in the class, 50 are taking a history course.

(2) Of all the students in the class, 70 are taking a science course.

so the statements should be Only a history course?

well no. It's not like that
i think u have proved the point that i was trying to make..:)
I always supported that if 50 people are taking history, then it doesn't mean that ONLY 50 are taking it. But as per ur solution to the original question, u assumed this unwanted assumption that if the statement is : "4 of them study both the cooking and yoga" then it means "ONLY 4 of them study both cooking and yoga" and that is what u mentioned in ur solution diagram..