Question : The length of a rope, by which a calf is tied, is decreased from 9 m to 5 m. Find the decrease in the area that can be grazed by the calf. [Use $\pi=\frac{22}{7}$]
Option 1: 112 m2
Option 2: 154 m2
Option 3: 122 m2
Option 4: 176 m2
New: SSC MTS Tier 1 Answer key 2024 out
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 176 m2
Solution : Given: Original length of rope = 9 m The new length of rope = 5 m (Length of rope taken as the radius of the circle) So, Old area = $\pi (9^{2}) = 81\pi $ New area = $\pi (5^{2}) = 25\pi $ So, the net change in the area $=81\pi -25\pi $ $=56\pi $ $= (56\times \frac{22}{7})$ $= \frac{1232}{7}$ $= 176\ \text{m}^{2}$ So, the decrease in the area that can be grazed by the calf is 176 m2. Hence, the correct answer is 176 m2.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : Find the curved surface area of a cone whose radius of the base is 7 cm and slant height is 8 cm. [Use $\pi=\frac{22}{7}$]
Option 1: 132 cm2
Option 2: 198 cm2
Option 3: 154 cm2
Option 4: 176 cm2
Question : The curved surface area of a cylinder, whose height is 10 cm, is 1320 cm2. What is the volume of this cylinder? [Use $\pi$ $\left.=\frac{22}{7}\right]$
Option 1: 1388 m3
Option 2: 0.001368 m3
Option 3: 0.1386 m3
Option 4: 0.01386 m3
Question : The length of each side of a square is 16 cm. What is the area of the square?
Option 1: 112 cm2
Option 2: 176 cm2
Option 3: 128 cm2
Option 4: 256 cm2
Question : The radius of a sphere is 14 cm. What is the surface area of this sphere? [Use $\pi=\frac{22}{7}$]
Option 1: 2464 cm2
Option 2: 1232 cm2
Option 3: 1848 cm2
Option 4: 616 cm2
Question : The difference between the length and breadth of a rectangle is 40 metres. If its perimeter is 96 metres, then what will be the area of the rectangle?
Option 1: 254 m2
Option 2: 110 m2
Option 3: 176 m2
Option 4: 152 m2
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile