Table of Contents
- 1 How do you put 9 pigs into 4 pens so that there are an odd number of pigs in each pen?
- 2 How can 50 cows be tied on 9 pillars with an odd number on each pillar?
- 3 Is 9 odd or even?
- 4 What is odd about odd numbers?
- 5 How many sheep can a farmer see out of his window?
- 6 How many sheep in each corner of a paddock?
How do you put 9 pigs into 4 pens so that there are an odd number of pigs in each pen?
It appears to be a trick question. Make 3 pens, put 3 pigs in each pen. Then put a 4th pen around all 3 of the other ones, and you have 9 pigs in that pen. Put 9 pigs into 4 pens so that there are an odd number of pigs in each pen.
How can 50 cows be tied on 9 pillars with an odd number on each pillar?
Just divide 50 cows in 9 groups, you have 50/9=5.5555555555……. (do not round up). So you essentially have an “odd” number (in fact, lots of them) at each digit, on each pillar.
How can 100 cows be tied on 9 pillars with an odd number on each pillar?
Thus the sum of all these is 100. Here it creates a contradiction that the LHS is even while the RHS is odd. And it is known that no decimal numbers can be written as sum of two or more whole numbers. Thus it is impossible to tie 100 cows on 9 pillars, with an odd number of cows on each pillar.
What is the 9th odd number?
The odd numbers from 1 to 100 are: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99.
Is 9 odd or even?
All the numbers ending with 1,3,5,7 and 9 are odd numbers. For example, numbers such as 11, 23, 35, 47 etc. are odd numbers. All the numbers ending with 0,2,4,6 and 8 are even numbers.
What is odd about odd numbers?
For example, 7 (odd) + 1 (odd) = 6 (even). Multiplication of Two Odd numbers: Multiplication of two odd numbers will always give an odd number. For example, 3 (odd) × 7 (odd) = 21 (even)….Properties of Odd Numbers.
| Arithmetic Operation | Result |
|---|---|
| Odd number × Odd number | Odd number |
| Odd number ÷ Odd number | Odd number |
What is 9 even or odd?
Odd and Even Numbers
| Number 1 | Number 2 | Sum |
|---|---|---|
| 4 [Even] | 8 [Even] | 12 [Even] |
| 7 [Odd] | 3 [Odd] | 10 [Even] |
| 1 [Odd] | 6 [Even] | 7 [Odd] |
| 2 [Even] | 9 [Odd] | 11 [Odd] |
How many answers are in farmer’s sheep Level 3?
The simplest answer is shown above. However, there are 16 answers in all. These are given in Farmer’s Sheep I, Level 3. To maximise the number of sheep, you want to put the smallest numbers in the corners. There are two reasons for this. The first one builds on the solution to Farmer’s Sheep I, Level 3 but it is not the easiest way.
How many sheep can a farmer see out of his window?
A farmer can see nine sheep if he looks out of any of his four windows. His wife buys him a new sheep. Which paddocks can he put the new sheep in so that he can still see nine sheep from each of the four windows?
How many sheep in each corner of a paddock?
As the number of sheep goes up, the number in the corner paddocks goes down to keep the sum constant at 36. Because you have to have at least one sheep in each paddock, you need to put one sheep in each of the corner paddocks. This gives the answer below as the only possibility.
How do you increase the number of sheep in a corner?
In order to keep the two ‘window’ sums that include that corner equal to 9, we’ll need to add one to each of the paddocks on either side of this corner. This will change the sheep count by –1 + 1 + 1 = +1. So reducing the number of sheep in the corner paddock increases the total number of sheep by one.