18 cattle graze a field in 12 days. 6 cattle can graze 3 of such fields in x days. What is x?
Correct answer: D. 108
- A. 90
- B. 72
- C. 36
- D. 108
Explanation
One field requires 18 cattle x 12 days = 216 cattle-days, so 3 fields require 3 x 216 = 648 cattle-days. At 6 cattle, the time is 648 cattle-days ÷ 6 cattle = 108 days. The likely mistake is 36 days, which does not account correctly for the three fields and the reduced number of cattle.
Last updated
About Ratio and Proportion
Ratios compare quantities in the same units, while proportions state that two ratios are equal. Problems cover simplification, division in a given ratio, direct and inverse variation, scale, and missing terms, with attention to the difference between a ratio and a fraction representing part of a whole.
Practise Arithmetic
1,060 free Arithmetic MCQs from Mathematics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Exams that ask Mathematics questions like this
Mathematics is on 67 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.