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A farmer has 2494 sheep and 2193 lambs. He farms them into flocks, keeping sheep and lambs separate and having the same number of animals in each flock. If these flocks are as large as possible. Find the maximum order of animals in each flock.

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answer is A.

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Detailed Solution

Given,
Total number of sheep = 2494
Total number of lambs = 2193
Here, maximum order of animals in each flock = Highest common factor HCF of (2193, 2494)
Factors of 2193 and 2949

2193 = 3 \times 17 \times 43

2494 = 2 \times 29 \times 43

Here, 43 is common in both. So,
HCF (2193, 2949)= 43
So maximum order of animals in each flock is 43.
Correct option is 1.

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