Latest Elitmus Aptitude Question SOLUTION: Elitmus que.... :D . Q: There is 1 square & 1 rectangle, square share its 25% area with rectangle and rectangle share its 50% area with square. What is the ratio of length and brea

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(#M40018625) ELITMUS Logical Reasoning question Aptitude Keep an EYE

Elitmus que.... :D
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Q: There is 1 square & 1 rectangle, square share its 25% area with rectangle and rectangle share its 50% area with square. What is the ratio of length and breadth of rectangle?
.
Options..
1. 3/2
2. 4
3. 8
4. 5/4

Asked In Elitmus Sagar Kadam (10 years ago)

Unsolved Read Solution (18)

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Read Solution (18) :

nishanth  (10 years ago)

area of square is= a^2
area of rectangle is =l.b
as per condition
1/4.a^2=1/2.l.b
=1/2.a^2=l.b
take a value of a lets take as a=4
1/2.4^2=8
try to equate on right hand side l.b=8=2.4=8.1(as 2.4 is not in the answer eliminate and consider 8:1)
ans:3

Is this solution Helpfull? Yes (23) | No (9)  

anjul meid  (10 years ago)

the area that both the figure share is common...simply follow these steps:-
1) draw a square
2)divide it in 4 quadrant
3)as square is sharing only 25% it means that it share only one quadrant say 1st
4)also this quadrant is 50% of a rectangle so extend that quadrant to form a rectangle
5) and proceeding like this u will get the answer

Is this solution Helpfull? Yes (21) | No (3)  

anjul meid  (10 years ago)

answer is 2 which is not given in option

Is this solution Helpfull? Yes (20) | No (2)  

Devendra Marghade  (10 years ago)

As exactly 50% or 1/2 area of rectangle is shared by 1/4 area of square
So 1/2 of the rectangle area will be outside of the square
Due to symmetry 1/2 of area of rectangle is square, so remaining half will also be a square.
So the ratio of length to breadth=2/1=2

Is this solution Helpfull? Yes (11) | No   

Ritesh jaiswal  (10 years ago)

divide a Square of length x in four coloums x/4.
.x/4*x is 50 % of rectangle..
extend it to 2x*x/4 is rectangle
ratio=2x/(x/4)=8:1

Is this solution Helpfull? Yes (7) | No (9)  

prayas goel  (10 years ago)

Answer will be 8 (200% sure)
1. Draw ABCD a square (Let the side 'a')
2. Divide it in 4 equals parts (Now each part have lenght 'a' and width 'a/4')
3. Take any one part (This part will be half of that rectangle which is sharing its 50% area with square)
4. Complete this half part and make rectangle..
5. Now this rectangle have width 'a/4' and length 'a+a=2a'
So, Ration b/w length and width will be= 2a:(a/4)= 8:1...Answer.

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

rizwanur rahman  (10 years ago)

@anjul even i am getting 2 as the answer.
@apoorv can u plz explain how u r getting 8;1 as the answer ?

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

Rahul kumar  (10 years ago)

2 will be the answer

Is this solution Helpfull? Yes (2) | No (3)  

KARTHIGA DEVI.J  (10 years ago)

Answer must be 2.

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

Sneha Agarwal  (10 years ago)

@ritesh, when we expand the rectangle it becomes x*2x/4 and not 2x*x/4

Is this solution Helpfull? Yes (2) | No   

Ritesh jaiswal  (10 years ago)

@ Sneha this is rectangle .u can expand length x or breadth x/4 .
but for given option expand length x to 2x.then u will get correct option.
ans =8:1

Is this solution Helpfull? Yes (2) | No (3)  

KUMMARI LAKSHMI RAMESH BABU  (10 years ago)

answer is either 2 or 8,but in options there is no 2, so definitely answer is 8.
Solution:
by the given conditions we can conclude that
50% of (L*B) = 25% of A^2
=> 0.5 * L * B = 0.25 * A^2
=>1/2(L*B)=(A^2)/4
=>L*B=(A^2)/2
=>L*B=(A*A)/4;

here B value must be some part of A i.e, A is more than B.
so we can substitute A = 2*B or 3*B or 4*B ...etc

case 1 : if A=2*B then we will get L:B=2:1 (diagrammatically it is possible if we take the rectangle share with quadrant of square which is in square shape)
case 2 : if A=3*B then we will get L:B=9:2 (diagrammatically this case is not 0possible)
case 3 : if A=4*B then we will get L:B=8:1(diagrammatically it is possible if we take the rectangle share with quadrant of square which is in rectangle shape)

Checking with options we will get answer as option 3.

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

siddhant  (10 years ago)

answer is 8

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

apoorv agrawal  (10 years ago)

8:1 is ans

Is this solution Helpfull? Yes (1) | No (9)  

Krishanu chatterjee  (10 years ago)

ans is 2

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

SAMBIT KUMAR GHOSH  (10 years ago)

here the cporrect ans is 2

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

Sagar Kadam  (10 years ago)

@anjul can u explain...??

Is this solution Helpfull? Yes | No (1)  

kaushik singh  (10 years ago)

ans is 31

Is this solution Helpfull? Yes | No (2)  

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