Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:
Four horses are tied on the four corners of a square field of length 14 m so that each horse can just touch the other two horses. They were able to graze in the area accessible to them for 11 days. For how many days is the ungrazed area sufficient for them?
Answer
Answer (as printed):
Explanation
Area of the square field $=(14 \times 14) \mathrm{m}^{2}=196 \mathrm{m}^{2}$. Area accessible to the horses for grazing $=4 \times$ Area of a quadrant with $r=7 \mathrm{m}$ = Area of a circle with $r=7 \mathrm{m}=\left(\frac{22}{7} \times 7 \times 7\right) \mathrm{m}^{2}=154 \mathrm{m}^{2}$. Ungrazed area $=(196-154) \mathrm{m}^{2}=42 \mathrm{m}^{2}$. $154 \mathrm{m}^{2}$ area feeds the horses for 11 days. $\therefore 42 \mathrm{m}^{2}$ area will feed the horses for $\left(\frac{11}{154} \times 42\right)$ days $=3$ days.