KEAM SERIES Mathematics
Rate Of Change Of Quantities
3 previous year questions.
Volume: 3 Ques
Yield: Medium
High-Yield Trend
1
2025 1
2024 1
2021 Chapter Questions 3 MCQs
01
PYQ 2021
medium
mathematics ID: keam-202
A cube is expanding in such a way that its edge is increasing at a rate of 2 inches per second. If its edge is 5 inches long, then the rate of change of its volume is
1
150 in3/sec
2
75 in3/sec
3
50 in3/sec
4
30 in3/sec
5
45 in3/sec
02
PYQ 2024
medium
mathematics ID: keam-202
Ice is coated uniformly around a sphere of radius 15 cm. If ice is melting at the rate of when the thickness is 5 cm, then the rate of change of thickness of ice is
1
cm/min
2
cm/min
3
cm/min
4
cm/min
5
cm/min
03
PYQ 2025
medium
mathematics ID: keam-202
The surface area of a solid hemisphere is increasing at the rate of (retaining its shape). Then the rate of change of its volume (in ), when the radius is , is
1
2
3
4
5