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Q.

105 goats, 140 donkeys and 175 cows have to be taken across a river. There is only one boat which will have to make many trips in order to do so. The lazy boatman has his own conditions for transporting them. He insists that he will take the same number of animals in every trip and they have to be of the same kind. He will naturally like to take the largest possible number each time. Can you tell how many animals went on each trip?

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a

55

b

35

c

40 

d

42

answer is C.

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Detailed Solution

Given,
The number of goats =105
The number of donkeys =140
The number of 175 cow =175
Now,
105=3×5×7
175=5×5×7
140=2×2×5×7
HCF(105,140,175)=5×7
⇒HCF(105,140,175)=35
Therefore, the number of animals that went to the camp is 35.
Hence, option 3 is correct.
 
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105 goats, 140 donkeys and 175 cows have to be taken across a river. There is only one boat which will have to make many trips in order to do so. The lazy boatman has his own conditions for transporting them. He insists that he will take the same number of animals in every trip and they have to be of the same kind. He will naturally like to take the largest possible number each time. Can you tell how many animals went on each trip?