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 breadth of rectangle?
.
Options..
1. 3/2
2. 4
3. 8
4. 5/4

• 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
• 11 years agoHelpfull: Yes(23) No(9)
• 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
• 11 years agoHelpfull: Yes(21) No(3)
• answer is 2 which is not given in option
• 11 years agoHelpfull: Yes(20) No(2)
• 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
• 11 years agoHelpfull: Yes(11) No(0)
• 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
  
• 11 years agoHelpfull: Yes(7) No(9)
• 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.
• 10 years agoHelpfull: Yes(3) No(3)
• @anjul even i am getting 2 as the answer.
  @apoorv can u plz explain how u r getting 8;1 as the answer ?
• 11 years agoHelpfull: Yes(2) No(2)
• 2 will be the answer
  
• 11 years agoHelpfull: Yes(2) No(3)
• Answer must be 2.
• 11 years agoHelpfull: Yes(2) No(1)
• @ritesh, when we expand the rectangle it becomes x*2x/4 and not 2x*x/4
• 11 years agoHelpfull: Yes(2) No(0)
• @ 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
• 11 years agoHelpfull: Yes(2) No(3)
• 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.
• 10 years agoHelpfull: Yes(2) No(1)
• answer is 8
• 10 years agoHelpfull: Yes(2) No(1)
• 8:1 is ans
  
• 11 years agoHelpfull: Yes(1) No(9)
• ans is 2
  
• 10 years agoHelpfull: Yes(1) No(1)
• here the cporrect ans is 2
• 10 years agoHelpfull: Yes(1) No(3)
• @anjul can u explain...??
• 11 years agoHelpfull: Yes(0) No(1)
• ans is 31
  
• 10 years agoHelpfull: Yes(0) No(2)