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  1. #1
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    Default Quant Thread for CAT 2009 (Miscellaneous)

    70% of students answered question A correctly, 55% of students answered question B correctly, 20% of students answered neither question correctly. What is the percentage of students answered both question A and B correctly?

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    Quote Originally Posted by StreetHawk View Post
    70% of students answered question A correctly, 55% of students answered question B correctly, 20% of students answered neither question correctly. What is the percentage of students answered both question A and B correctly?
    45%

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    Quote Originally Posted by StreetHawk View Post
    70% of students answered question A correctly, 55% of students answered question B correctly, 20% of students answered neither question correctly. What is the percentage of students answered both question A and B correctly?
    45%

    explanation:

    Let the total number of students be 100 and the no. of students who answered both the questions correctly be x.

    therefore no. of students who answered only A correctly is (70 - x)
    and the no. of students who answered only B correctly is (55 - x)

    therefore,
    (70 - x) + x + (55 - x) + 20 = 100
    therefore x=45

    hence 45% students answered both the questions correctly.

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    Quote Originally Posted by StreetHawk View Post
    70% of students answered question A correctly, 55% of students answered question B correctly, 20% of students answered neither question correctly. What is the percentage of students answered both question A and B correctly?
    since 20% didnot answer correctly so that means only 80% are doing atleast one right

    n(AUnionB) = n(A) + n(B) -n(AIntersectionB)

    80 = 70 + 55 - x

    x= 45%
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    Default Quant Thread for CAT 2009 (Miscellaneous)

    Post your queries about the topics like sets, shares , calendars or anything else which are not covered in major topics
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    Question Question

    Q) In TestFunda , out of every 7 members posting on Verbal forums 3 post on quant forum as well. For every member posting on atleast one of these forums, there are 3 members who post on neither. If 10% of the members post only on verbal forum , the percentage of members who post on only quant forum is

    1) 17.5% 2) 23.33% 3) 7.5% 4) None of these 5) Cannot be determined
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    Quote Originally Posted by sumit2goody View Post
    Q) In TestFunda , out of every 7 members posting on Verbal forums 3 post on quant forum as well. For every member posting on atleast one of these forums, there are 3 members who post on neither. If 10% of the members post only on verbal forum , the percentage of members who post on only quant forum is

    1) 17.5% 2) 23.33% 3) 7.5% 4) None of these 5) Cannot be determined

    is it 3) 7.5%?

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    7.5% right?

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    pradeepkumar718 (26-Mar-09)

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    Quote Originally Posted by first_timer View Post
    is it 3) 7.5%?
    Yes method please
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    Quote Originally Posted by santraghu View Post
    7.5% right?
    correct method please
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    Quote Originally Posted by sumit2goody View Post
    Yes method please
    n(VA) = 4x(say)
    So universal set = 40x
    Out of 7 posting in verbal,3 posts in quant. So basically of those 7 ppl,4 posts in VA only and 3 in quant+va.

    so for n(VA) = 4x,n(VA AND QA) = 3x.
    Let n(QA) = y.

    So universal set = 7x+y+3*(7x+y) (condition of ppl not posting)

    Therefore, 4*(7x+y) = 40x ==>y = 3x.

    So percentage of ppl only posting in quant = 3x/40x*100 = 7.5

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    Quote Originally Posted by sumit2goody View Post
    correct method please
    People posting in only verbal=4x
    People posting in both verbal and quant=3x
    People posting in only quant=y
    People posting in neither=3(7x+y)

    4x=10/100*(7x+y+3(7x+y))
    3x=y.

    therefore y/(28x+4y)*100=7.5

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    Quote Originally Posted by sumit2goody View Post
    Q) In TestFunda , out of every 7 members posting on Verbal forums 3 post on quant forum as well. For every member posting on atleast one of these forums, there are 3 members who post on neither. If 10% of the members post only on verbal forum , the percentage of members who post on only quant forum is

    1) 17.5% 2) 23.33% 3) 7.5% 4) None of these 5) Cannot be determined
    Can sum1 plz tell me which type of sum is this? Which formula is applicable? Is it based on percentages?

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    pradeepkumar718 (26-Mar-09)

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    Question

    Like ShipraKaushik sum1 tell me also that which formula is used? What type is this sum? I cant got it.

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    Quote Originally Posted by ShipraKaushik View Post
    Can sum1 plz tell me which type of sum is this? Which formula is applicable? Is it based on percentages?
    Quote Originally Posted by YadavAbhay View Post
    Like ShipraKaushik sum1 tell me also that which formula is used? What type is this sum? I cant got it.
    Hi shipra and abhay

    This is a basic sum based on the concept of sets...and can be solved by the method above or by using venn diagrams...just revise your concepts on sets and then you can easily solve such questions
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    plz provide d solution 4 d question in d attechment."in d adjoining figure" its urgenttttttt
    help plzzzzzzzzzzzzz
    thanx
    Attached Files

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    Quote Originally Posted by bharat27 View Post
    plz provide d solution 4 d question in d attechment."in d adjoining figure" its urgenttttttt
    help plzzzzzzzzzzzzz
    thanx
    Do u know the answer?

    I am getting 100(sqrt(3)/2-pi/6) = 34.27 approx

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    Quote Originally Posted by bharat27 View Post
    plz provide d solution 4 d question in d attechment."in d adjoining figure" its urgenttttttt
    help plzzzzzzzzzzzzz
    thanx

    I am getting the answer as 32.28 (approx.)

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    Thumbs up thanks sumit

    Thanks for a info. Sumit. I will now do venn diagram and sets and then do this sum. Thanks bro.

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    @ first_timer and tusharsem

    plz post ur method too for sqr problem....

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