Exponential growth and decay Quiz 1

Question 1

Nimrit has invested $$Rs.50000$$ in SIP investment plan 4 years back. Now, she has withdrawn all the money as she incurred loss at a rate of $$5\%$$ annually. How much amount $$($$approximately value$$)$$ has she withdrawn?

Accepted Answer

$$Rs.40725$$

Answer

$$Rs.38895$$

Answer

$$Rs.39875$$

Answer

$$Rs.42750$$

Question 2

Suppose the number of Covid-19 patients in Delhi increasing day by day at a rate of $$16\%$$ per day which was initially 25, then which of the following is the closest value to the number of Covid-19 patients after 1 week?

Accepted Answer

70

Answer

56

Answer

82

Answer

95

Question 3

In 2020 beginning, the fish population was 26244 which has declined by $$10\%$$ per year. What was the fish population in 2017 beginning?

Accepted Answer

36000

Answer

32000

Answer

40000

Answer

43000

Question 4

In the last 6 years, the number of crimes in city A has decreased from 27040 to 15600 at a continuous rate annually while the number of crimes in city B has decreased to 16800 with the same continuous rate. How many numbers of crimes were there in city B, 6 years ago?

Accepted Answer

29120

Answer

26328

Answer

28106

Answer

33150

Question 5

Four years ago, two friends Eric and Diana had invested $$Rs.50,000$$ each in a savings plan at different rates of interest per annum compounded continuously. Now, Diana has received the amount which is $$\dfrac{3}{4}$$ of the total amount received by Eric. Find the value of the difference of the rates of interest in terms of log.

Accepted Answer

$$\dfrac{1}{4}\left( \log 4-\log 3 ight)	ext{ }$$

Answer

$$\dfrac{1}{3}\left( \log 4+\log 3 ight)	ext{ }$$

Answer

$$\dfrac{1}{4}\left( \log 3-\log 2 ight)	ext{ }$$

Answer

$$\dfrac{1}{2}\left( \log 3+\log 2 ight)	ext{ }$$