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(#M40028858) ELITMUS question quant Keep an EYE

4.data sufficiency
A wire is cut into 3 parts with unequal length then what is the length of the shortest piece?
a) sum of two greatest length pieces=12
b)sum of two least length pieces=11

Asked In Elitmus saurabh prakash (10 years ago)

Unsolved Read Solution (10)

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Rahul Yadav  (10 years ago)

@debaranjan : but if we solve it through equation there are 3 variables and 2 equations. So both statements are not sufficient to find the answer. However if we we adopt hit and trial approach as of yours than we can find the answer. So what will be its answer as far as problem of Data Sufficiency is concerned ??

Is this solution Helpfull? Yes (12) | No   

Siddharth  (10 years ago)

In data sufficiency you cannot assume the data other then what is provided. Solving it through equation there are 3 variables and 2 equations. So, cannot be answered through both the statements.

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Debaranjan Behera  (10 years ago)

shortest length=5.25
All three Lengths are 6.25,5.75,5.25
6.25+5.75=12
5.75+5.25=11

Is this solution Helpfull? Yes (3) | No (7)  

kapil gupta  (10 years ago)

as there are three variable so we required 3 equation
by tricking there may be many soln as 6.4 5.6 5.4 and 6.25 5.75 5.25
so both statement are in sufficient to give answer

Is this solution Helpfull? Yes (3) | No (1)  

gourav   (10 years ago)

let a be largest, c be smallest, x be total length
a+b+c=x....(i)
a+b=12...(ii)
b+c=11...(iii)

from eq.(i) a+b=x-c....(iv) and b+c=x-a(v) and replace a+b and b+c of eq. (i),(iii) by eq. (iv)& (v)
on solvng this x-c=12 and x-a=11 we get a-c=1

so finally we have a+b=12,b+c=11,a-c=1, a+b+c=x
Now if x=18 then( a=7,b=5,c=6) but it is not fixed it vary according to x value
if x=18.5 then (a=7.5,b=4.5,c=6.5)

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Gourav Rusiya  (10 years ago)

I also think the same that it cannot be answered through both the statements i.e. answer is (b)

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rajveer singh  (10 years ago)

yes we can't assume any value.....and this question can't be solved using any of these equations....

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rakesh  (10 years ago)

x+y=12
y+z=11
so x-z=1
so (if x=6 then z will be 5)just example
v can take x=6,y=6,z=5 all will satisfy
but it is mentioned that all x,y,z are diff
so our aim should be like this (take x,y,z like this diffrence between them will little
if x=6.4,y will be 5.6,
and z=x-1==> 5.4
which will satisfied the condition

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Subhash Agrawal  (10 years ago)

don't be confuse.. this type of problem can easily be solved through d option given..:)

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Chirag Ranjan Lahiri  (9 years ago)

as there are three variable so we required 3 equation
by tricking there may be many soln as 6.4 5.6 5.4 and 6.25 5.75 5.25
so both statement are in sufficient to give answer

Is this solution Helpfull? Yes | No   

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