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# Data Suffciency Thread for CAT 2011

Hi All, I think there is no Data Sufficiency thread in PG.So Iam creating this Thread dedicated only to Data Sufficiency Questions and Fundas.So why wait Let Start :: :: Regards
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A man has 57 pens. He wants to distribute these pens among his 3 sons such that his eldest son receives the highest number of pens. What will be the number of pens received by the eldest son?

A. The number of pens received by the sons are in Arithmetic Progression.
B. The number of pens received by the sons are in Geometric Progression.

can be said from statement A alone.
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A man has 57 pens. He wants to distribute these pens among his 3 sons such that his eldest son receives the highest number of pens. What will be the number of pens received by the eldest son?

A. The number of pens received by the sons are in Arithmetic Progression.
B. The number of pens received by the sons are in Geometric Progression.
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can be answered by (a) only.
as root(x)>y
so, x>(y^2) and x is always positive.
so, we can say that x>y (whether y is -ve or +ve)
but b says (x^3)>y,
here let x=2, y=1
then, x>y
now let x=2, y=7,
so, x

consider x=0.01 and y=0.02;

for this case root(x)>y and x 0.2 but 0.01

consider x=9 and y=2 ;
for this case root(x)>y and x>y ;
root (9)=3 > 2 and 9 >2 ;

So we cant say by using only 1st statement ... so we need to consider both statements to arrive at a conclusion ..
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guravus Says

Both the statements are required to answer the question.
here's the breakdown-
french(boy)+spanish(boy)=6+y(let)
frensh(girl)+spanish(girl)=x(let)+8
so, as per the first statement,
x+y=21.......(i)
as per the second statement,
8+yor, x>y+2,......(ii)
combining i and ii
it can be said that max(x)=12.
so, both statements are required.
the can be can not be determined also (confused), as the breakdown of boys and girls is not given. please post the OA
"If you want some, go get it. Period."
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Q) Is x > y?

(1) x > y
(2) x^3 > y

can be answered by (a) only.
as root(x)>y
so, x>(y^2) and x is always positive.
so, we can say that x>y (whether y is -ve or +ve)
but b says (x^3)>y,
here let x=2, y=1
then, x>y
now let x=2, y=7,
so, x
"If you want some, go get it. Period."
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deepak_pgi Says
The question can not be answered even by using both the statements together?

when both statements are combined x^1/2 > y ; x^3 > y

this can be multiplied as x should be positive , then equation will be
x^7 > y^4

by combining both the statements we can say x>y .
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when both statements are combined x^1/2 > y ; x^3 > y

this can be multiplied as x should be positive , then equation will be
x^7 > y^4

by combining both the statements we can say x>y .

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Sorry i thought in a wrong way .. it can't be proved like that .

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No , it cant be solved using both the statements .

it is implied when we combine both the statements that x>0

take 3 case
1=> x=1/16 y=1/7;
2=>x=2 y=7;
3=> x=9 y=7;

by this we can say that data is not sufficient .

P.s : If i am wrong kindly correct me ..

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No , it cant be solved using both the statements .

it is implied when we combine both the statements that x>0

take 3 case
1=> x=1/16 y=1/7;
2=>x=2 y=7;
3=> x=9 y=7;

by this we can say that data is not sufficient .

P.s : If i am wrong kindly correct me ..

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Q) Is x > y?

(1) x > y
(2) x^3 > y

The question can not be answered even by using both the statements together?
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Hi friends ,

thank you in advance . :)

Question :

choice 1 : if the question can be solved by using one statmnt and can't be solved by another statement .
choice 2: if the question can be solved by either statement alone .
choice 3: if can be answered by both statements together .
choice 4: if can't be solved by both statements together .

i have a total of 125 fruits - apples and oranges put together - which are to be distributed to 12 boys and 9 girls of a class , such that each girl gets at least one apple but no orange but each boy gets one apple and atleast one orange . Can apples be distributed equally to all the 21 students ? Assume
that the number of fruits of a variety , distributed for any person is always an integer .

A. The number of apples is a multiple of 7
B. The oranges can be distributed equally to all the boys .

My answer : choice 1 (by statement B we can say that we cant distribute equally )

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my bad...actually i did not solve the root equation..i assumed a value will be obtained...

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ya as we r getting two psitive values one greater than 20 and the other less than 20 we can select one only if we know whether 20 is longer side or not.

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Srihari123 Says
u can use any formula but unless it is mentioned that 20 is longest side or not, we will get 2 values for 3rd side

yes thats wat i wanna say...
that if we apply that square root formula,we will get two roots...
n so for data sufficiency we need distinct ans...
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