Latest TCS Aptitude Question SOLUTION: Four friends - Arjan, Bhuvan, Guran and Lakha were comparing the number of sheep that they owned. It was found that Guran had ten more sheep than Lakha. If Arjan gave one-third to

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Four friends - Arjan, Bhuvan, Guran and Lakha were comparing the number of sheep that they owned. It was found that Guran had ten more sheep 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 sheep did each of them possess? Give the minimal possible answer.
(A) 80,50,55,45 (B) 90,50,55,45 (C) 90,40,55,45(D) 90,50,50,45

Asked In TCS Priya (11 years ago)

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lala  (11 years ago)

answer (B)
checking by option
1/3 of 80 is a decimal no. so 1st check for 90's 1/3rd
1/3 of 90 i.e 30 is given to bhuvan add 30 in bhuvan's option (option of bhuvan sheep is 40 or 50) if we add 30 in 40 then its 1/4th part is decimal no. so go for 50 sheep option for bhuvan
now bhuvan having (50+30=80sheeps) now 1/4th of 80 i.e 20 is added to next guran option and we have to do 1/5th part of new no.(options available 50& 55 if we add 20 in 50 i.e 70 then its 1/5part is decimal so 55 is correct one for adding 20 i.e 75 now 1/5part can be easily calculated
so option in order 90,50,55,is only in (B)which also satisfy whole condition..................:)

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Anubhav Kumar  (11 years ago)

Let p,q,r,s be the no of sheeps for each.
Check the constraint that R=S+10

three options remain. A,B,C.

now the eqn becomes--(p-(p/3))=[q+(p/3)-1/4(q+(p/3)]
now put the options Hence B is the answer.

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Abhishek gupta  (11 years ago)

Ans : b
Arjan:- 90*(2/3)=60

Bhuvan= (50+30)*(3/4)=60

that means Bhuvan gave 20 to Guran sheep

Guran=(55+20)*(4/5)=60

that meand guran gaves 15 sheep to lakha

Now all have equeal number of sheeps

Answer :- 90,50,55,45

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Sumit Gupta  (11 years ago)

ans (B)
play with options

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dhirendra sisodiya  (11 years ago)

going through the option ans. is B

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Manan  (11 years ago)

Option B

Go by options..
Option A isnt possible cause 80 isnt perfect multiple of 3
option D isnt possible cause difference between Guran and Lakha's sheep is 5 (not 10)

Remaining are B and C
Arjan= 90-(90/3)= 90-30 = 60
Bhuvan= (50+30)-((50+30)/4) = 80-20=60
Guran=(55+20)-((55+20)/5) = 75-15 = 60
Lakha= 45+15 = 60

Hence all equal

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akram  (11 years ago)

option B is correct ...

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Divya  (11 years ago)

Answer option B
Go by options the first number should be a multiple of three So option A can be eliminated. 2nd number + 1/3 rd of the first number should be a multiple of 4. so option C can be eliminated. 1/4th of the second number + third number should be multiple of 5, So the answer should be option B.;)

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