Question : The number of trees in a town is 17640. If the number of trees increases annually at a rate of 5%, how many trees were there two years ago?
Option 1: 14000
Option 2: 15000
Option 3: 16000
Option 4: 19450
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Correct Answer: 16000
Solution : Let the number of trees 2 years ago be $P$. The number of trees increases annually at a rate of 5%. The number of trees at present is 17640. So, $P(1+\frac{r}{100})^n = 17640$ ⇒ $P(1+\frac{5}{100})^2 = 17640$ ⇒ $P(\frac{21}{20})^2 = 17640$ ⇒ $P = 16000$ Hence, the correct answer is 16000.
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Question : The present population of the town is 26010. It increases annually at a rate of 2%. What was the population of the town two years ago?
Option 1: 25000
Option 2: 25100
Option 3: 25200
Option 4: 25500
Question : The compound interest (compounding annually) on a certain sum at the rate of 8% per annum for two years is INR 6,656. What would be the simple interest on the same sum at the same rate of interest for two years?
Option 1: INR 5,600
Option 2: INR 6,224
Option 3: INR 6,400
Option 4: INR 6,336
Question : Directions: The ratio of the ages of a man and his wife is 4 : 3. After 4 years, the ratio will be 9 : 7. If at the time of marriage, the ratio was 5 : 3, how many years ago were they married?
Option 1: 12
Option 2: 24
Option 3: 5
Option 4: 8
Question : The duration of the Mesolithic period is from about ______ years ago to ______ years ago.
Option 1: 14000, 10000
Option 2: 17000, 12000
Option 3: 12000, 10000
Option 4: 10000, 7000
Question : The simple interest on a certain sum of money for 2 years at 5% is Rs. 1600. The compound interest at the same rate after 3 years (interest compounded annually) is:
Option 1: Rs. 2520
Option 2: Rs. 2522
Option 3: Rs. 2555
Option 4: Rs. 2535
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