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 Quantitative Aptitude  |  Question 14 of 45    Print  
Two trees are there. One grows at 3/5 of the other in 4 years, total growth of trees is 8 ft. what growth will smaller tree will have in 2 years
 < 2 ft.


  
Total Answers and Comments: 5 Last Update: January 31, 2007   
  
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July 13, 2005 02:44:29   #1  
T.Chandrasekar        

RE: Two trees are there. One grows at 3/5 of the other in 4 years, total growth of trees is 8 ft. w...
I think the answer may be wrong! 
The corret one is 1.5 ft.

 
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November 19, 2005 21:18:00   #2  
murali922 Member Since: November 2005   Contribution: 2    

RE: Two trees are there. One grows at 3/5 of the other...

Answer should be 1.5 !!!

Let the trees be x,y

from question : -

eq1 is   x = 3/5 (y)

eq2 after 4 yrs,

x+y = 8

from the 2 equations we get y = 5 and x = 3

according to our equation x= 3/5(y) -> x is the smaller tree.

In 4 yrs x grows 3ft

In 2 yrs x grows ?ft

Ans = 1.5ft.

Correct me if I am wrong.


 
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December 25, 2005 01:42:57   #3  
M.A.Srinivas        

RE: Two trees are there. One grows at 3/5 of the other...
I too got the answer everybody is getting i.e., 1.5 ft. But I need the correct proof, which proves the answer as <2 ft. Where can I get cprrect proof?
 
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March 12, 2006 00:43:40   #4  
abhishek        

RE: Two trees are there. One grows at 3/5 of the other...

         hi ans is 1.5 by unitary method

in 4 years (t1=3/5)*t2

this shows that t2 is big tree

now during 4 years t1+t2= 8

then                    t1+(5/3)*t1=8

                           t1=3  t2=5

now in 4yr t1(small tree) grows 3 ft

      therefore in 2 yr t1(small tree )will grow (3/4)*2=1.5


 
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January 31, 2007 14:46:22   #5  
vignes2005 Member Since: January 2007   Contribution: 1    

RE: Two trees are there. One grows at 3/5 of the other...
total height in 4 years=8 ftwe take it as x+ (3/5)x=8==>x(8/5)=8==>x=5tallest tree in 4y is 5ftsmallest tree is 3fthence in 2y which is 1.5 ft
 
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