NIMCET 2008 Question Paper with solutions

Question : 46 of 120

Marks: +1, -0

Four friends-Arjan, Bhuvan, Guran and Lakha comparing the number of sheeps that they owned. It was found that Guran had ten more sheeps than Lakha. If Arjan gave one-third to Bhuvan and Bhuvan gave a quarter of what he then held to Guran, who then passed on a fifth of his holding to Lakha, they would all have an equal number of sheep. How many sheeps did each of them possess? Give the minimal possible answer.

200.105,110.100
90,55,55,45
180,110,110,100
None of the above

Validate

Solution:

None of the given answer is correct from the available data set.

G =L+10 ;

{2 A}/{3} = {3}/{4}(B+ {A}/{B})= {4}/{5}(G+ {1}/{4}(B+ {A}/{3}))

=L+ {1}/{5}(G+ {1}/{4}(B+ {A}/{3}))

⇒ {2 A}/{3} = {3 B}/{4}+\;{A}/{4}= {4 G}/{5}+ {B}/{5}+ {A}/{15}

=L+ {G}/{5}+ {B}/{20}+ {A}/{60}

⇒ A =180 ; B=100 ; G=110 ; L=80

Which becomes inconsistent

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