Rate of change proportional to the square root of the amount: time to empty
This type of question, asked 6 times: 16 May 2023 S1, 12 May 2024 S2, 20 Apr 2025 S2, 21 Apr 2025 S1, 16 Apr 2026 S1, 14 May 2026 S2. All 6 questions below, oldest first.
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Question 1
16 May 2023 S1
144The assets of a person are reduced in his business such that the rate of reduction is proportional to the square root of the existing assets. If the assets were initially ₹10,00,000 and due to loss they reduce to ₹10,000 after 3 years, then the number of years required for the person to go bankrupt will beTap an option to check your answer.
Question 2
12 May 2024 S2
118Water flows from the base of rectangular tank, of depth 16 meters. The rate of flow of the water is proportional to the square root of depth at any time . If depth is 4 m when hours, then after 3.5 hours the depth (in meters) isTap an option to check your answer.
Question 3
20 Apr 2025 S2
128The rate of reduction of a person's assets is proportional to the square root of the existing assets. The assets reduced from 25 lakhs to 6.25 lakhs in 2 years. This rate of reduction of his assets will make him bankrupt inTap an option to check your answer.
Question 4
21 Apr 2025 S1
150The assets of a person reduced in his business such that the rate of reduction is proportional to the square root of the existing assets. If the assets were initially ₹ 10 lakhs and due to loss they reduce to ₹ 10000 after 3 years, then the number of years required for the person to be bankrupt will beTap an option to check your answer.
Question 5
16 Apr 2026 S1
84The rate of reduction is proportional to the square root of a persons existing assets at that moment. If his assets at the beginning are 10000 and they dwindle down to 5625 in 2 years, then the person will be bankrupt inTap an option to check your answer.
Question 6
14 May 2026 S2
88A person's assets start reducing in such a way that the rate of reduction of assets is proportional to the square root of the assets existing at that moment. If the assets at the beginning are lakhs and they dwindle down to after years. Then the person will be bankrupt in k years from the start. ThenTap an option to check your answer.