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  1. A farmer has 945 cows and 2475 sheep. He farms them into flocks, keeping cows and sheep separate and having the same number of animals in each flock. If these flocks are as large as possible, then the maximum number of animals in each flock and total number of flocks required for the purpose are respectively
    1. 15 and 228
    2. 9 and 380
    3. 45 and 76
    4. 46 and 75
Correct Option: C

First of all we find the HCF of 945 and 2475. HCF = 45
Illustration :

∴ Maximum number of animals in each flock = 45

Required total number of flocks =
945
+
2475
= 21 + 55 = 76
4545



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