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Question


4 oxen or 12 cows can graze a field in 32 days. How long would 7 oxen and 3 cows take to graze the same field?


Options:
A .   12 days
B .   17 days
C .   32 days
D .   16 days
Answer: Option D
:
D

4 oxen = 12 cows
1 ox = 124 cows
 7 oxen124×7 cows=21 cows
  (7 oxen + 3 cows) (21 cows + 3 cows) = 24 cows
Now, 12 cows can graze the field in 32 days.
So, 1 cow can graze the field in (32×12) days.
[less cows, more days]
24 cows can graze the field in 32×1224=16 days
[more cows, less days]   
Hence, 9 oxen and 3 cows can graze the field in 16 days
.



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