How much kheer was asked by the donkey in total?a)1000 mLb)10000 mLc)1...
Donkey and Kheer Problem
Introduction:
In this problem, we need to determine the total amount of kheer asked by the donkey. The options given are:
a) 1000 mL
b) 10000 mL
c) 100 mL
d) 1 L
Understanding the Problem:
To solve this problem, we need to carefully analyze the information given in the question and determine the correct answer.
Given Information:
The question states that the donkey asked for kheer in the following manner:
- On the first day, the donkey asked for half a liter of kheer.
- On the second day, the donkey asked for half of what it had asked for the previous day.
- This pattern continued for 10 days.
Solution:
To find the total amount of kheer asked by the donkey, we need to add up the kheer asked for each day.
Calculating the Amount of Kheer:
Let's break down the problem and calculate the amount of kheer asked by the donkey on each day:
Day 1: The donkey asked for half a liter of kheer.
Day 2: The donkey asked for half of what it had asked for the previous day, which is (1/2) * 0.5 liters = 0.25 liters.
Day 3: The donkey asked for half of what it had asked for the previous day, which is (1/2) * 0.25 liters = 0.125 liters.
Day 4: The donkey asked for half of what it had asked for the previous day, which is (1/2) * 0.125 liters = 0.0625 liters.
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Day 10: The donkey asked for half of what it had asked for the previous day, which is (1/2) * (1/2) * (1/2) * (1/2) * (1/2) * (1/2) * (1/2) * (1/2) * (1/2) * (1/2) * 0.5 liters = 0.0009765625 liters.
Adding up the Kheer:
Now, let's add up the amount of kheer asked by the donkey on each day:
Total kheer asked = 0.5 + 0.25 + 0.125 + 0.0625 + ... + 0.0009765625 liters.
This is a geometric series where the first term (a) is 0.5 and the common ratio (r) is 1/2. The formula to find the sum of a geometric series is:
Sum = a * (1 - r^n) / (1 - r),
where n is the number of terms in the series.
Using the formula, we can calculate the total amount of kheer asked by the donkey:
Sum = 0.5 * (1 - (1/2)^10) / (1 - 1/2)
= 0.5 * (1 - 1/1024) / (1/2)
= 0.5 * (1023/1024)
How much kheer was asked by the donkey in total?a)1000 mLb)10000 mLc)1...
The cow asked for 4 bowls of kheer, each of 250 mL.
So, the total quantity of kheer asked by the cow is:
4 x 250 mL = 1000 mL or 1 liter.
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