Latest Elitmus Aptitude Question SOLUTION: Q. A piece of wood cut into three pieces A,B,C.are they of equal? 1)sum of the length of two pieces is 2/3rd of the original length. 2)B & C are the same length.

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Q. A piece of wood cut into three pieces A,B,C.are they of equal?
1)sum of the length of two pieces is 2/3rd of the original length.
2)B & C are the same length.

Asked In Elitmus mohd afzal khan (10 years ago)

Unsolved Read Solution (12)

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Read Solution (12) :

RAKESH  (10 years ago)

length of wood = (A+B+C)

sum of the length of two pieces is 2/3rd of the original length
=> B+C=(2/3)*(A+B+C)
=> 3B+3C=2A+2B+2C
=> B+C=2A ......(1)

B & C are the same length => B=C .......(2)

putting B=C in (1),we get, C+C=2A => C=A ......(3)

(2)&(3) => A=B=C
A,B,C are of equal length.

Is this solution Helpfull? Yes (22) | No (5)  

AVINASH KUMAR SINHA  (10 years ago)

A+B=2(A+B+C)/3..............(i)
B=C.................(ii)
from(i)
A+B=2C.....(iii)
from (ii)&(iii)
A+C=2C.....(iv)
from(iii)&(iv)
A=C & B=C
=> A=B=C

Is this solution Helpfull? Yes (6) | No   

komal pandhariwal  (10 years ago)

1 nd 2 both required to get the answer a b and c are of same length
we have 2 cases a) A+B=2/3L b) B+C=2/3L and we know A+B+C=L and B=C
so case a) A+B=2/3L is equal to A+C=2/3L as B=C
so 2A+B+C=A+L=4/3L
ie A=1/3L nd B=C=1/2(2/3L)

b)B+C=2/3L
C=B so, B=C=1/3L and hence A=1/3L

Is this solution Helpfull? Yes (5) | No (3)  

Sandeep Panigrahi  (10 years ago)

Let us take a blind example to solve the problem
Let the wood is of 9 meter length.
1)Possibility-- A= 2 meter, B= 4 meter and C= 3 meter
here A+b=6 which is 2/3rd of 9 and also A,B & C are not equal.
2)Possibility-- Let B= 2 meter and C= 2 meter & C= 5 meter
Here B=C but A,B & C are not equal.
Hence both 1 & 2 are not sufficient to give the answer.

Is this solution Helpfull? Yes (4) | No (12)  

Krishnendu Lakshman  (10 years ago)

obviously eual.
B+C=2/3
A=1/3
B=C=1/3

Is this solution Helpfull? Yes (2) | No (1)  

nandish  (10 years ago)

a+b+c=x...--->1
a+b=(2/3)x....---->2.
therefore,c=(1/3)x.
but b=c=(1/3)x.
so a+b=(2/3)x,a=(2/3)x-(1/3)x.=(1/3)x.

Is this solution Helpfull? Yes (1) | No   

Nitesh Sandilya  (10 years ago)

SIR kodani kranti ..what about height............good question???

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

Arun Kumar  (9 years ago)

Both are required to give the answer
see by first
A+B=2/3(A+B+C)
or
C+B=2/3(A+B+C)
or
A+C=2/3(A+B+C)
or
B=C putting this into any eq we get A=B or A=C which is enough

Is this solution Helpfull? Yes (1) | No   

sravani  (9 years ago)

1 alone gives solution, 2 alone cannot obtain the solution.

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

Mirza Sikindar  (8 years ago)

1 and 2 are required to for the solution

Is this solution Helpfull? Yes (1) | No   

kodali kranthi  (10 years ago)

u r all considering just length only ....wat abt brdth ...if we change brdth by keeping lngth they wont b equal

Is this solution Helpfull? Yes | No (2)  

kundan prasad  (8 years ago)

Yes A,B,C are equal

Is this solution Helpfull? Yes | No   

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