In a culture, the bacteria count is `1,00,000`. The number is increased by `10%` in `2` hours. In how many hours will the count reach `2,00,000` if the rate of growth of bacteria is proportional to the number present ?

If the population of country double in 50 years, in how many years will it triple under the assumption that the rate of increase is proportional to the number of inhabitants.

An initial number of bacteria presented in a culture is 10000. This number doubles every 30 minutes. How long will it take to bacteria to reach the number 100000 ?

The population of a village increases continuously at the rate proportional to the number of its Inhabitants present at any time. It the population of the village was 20,000 in 1999 and 25,000 in the year 2004, what will be the population of the village in 2009 ?

A and B are two separate reservoirs of water. Capacity of reservoir A is double the capacity of reservoir Bdot Both the reservoirs are filled completely with water, their inlets are closed and then the water is released simultaneously from both the reservoirs. The rate of flow of water out of each reservoir at any instant of time is proportional to the quantity of water in the reservoir at the time. One hour after the water is released, the quantity of water is reservoir A is 1 1/2 times the quantity of water in reservoir Bdot After how many hours do both the reservoirs have the same quantity of water?

the count rate from a radioactive sample falls from 4.0xx10^6 per second to 1.0xx10^6 per second in 20 hours.What will be the count rate 100 hours after the begnning ?

Assertion (A) : Growth is measurable. Reason ( R) : At a cellular level, growth simply means in the amount of protoplasm. One single maize root apical meristem can give rise to more than 17,500 new cells / hour, it is in terms of increase in cell number and cells in the watermelon can increase in size upto 3,50,000, here growth is measured in terms of size of the cells. Therefore Growth is measured in terms of increase in cell number, area, volume, lenght etc.

How many numbers lying between 100 and 1000 can be formed with the digits 0, 1, 2, 3, 4, 5, if the repetition of the digits is not allowed?