Question

CHALLENGE OF THE WEEK

QUESTION:
A man has 49 cows.
The first cow gives 1 litre milk/day
Second cow gives 2 litre milk/day
.
.
.
49th cow gives 49 litre milk/day

He wants to divide the total no. of cows between his seven sons such that ALL HIS SONS WILL GET SAME LITRE MILK/DAY.

Hint:MAGIC SQUARE

Plz refer to the attachment.​

Answer 1

Answer:

175 litre per son

Step-by-step explanation:

n

$n(n + 1) \div 2$

here n is 49

Answer 2

Challenge Accepted.

Question:-

A man has 49 cows.

The first cow gives 1 litre milk/day

Second cow gives 2 litre milk/day

.

.

.

49th cow gives 49 litre milk/day

He wants to divide the total no. of cows between his seven sons such that ALL HIS SONS WILL GET SAME LITRE MILK/DAY.

Hint Given:-

• Magic Square.

Solution:-

Using formula, we will get the magic square constant.

Here,

n(number of rows or cols)=7

So,

Magic constant

=n(n²+1)/2

=7(49+1)/2

=7*50/2

=175.

Hence, the magic square constant is 175.

We have to arrange the numbers 1-49 in such a way that the sum of the numbers(left-right, top-down and diagonally) is 175.

For n x n table and is odd, we will solve by using this rule given,

1. Place the number 1 in the center box of top row.
2. Fill in the remaining numbers using an up-one, right-one pattern.

But, there exists three exception case which we will solve. These are the three exceptional cases.

1. If the move takes you to a box above the magic square's top row, go to the bottom row and then on the column to the right side.
2. If the movement takes you to a “box” to the right of the magic square’s right column, remain in that box’s row, but place the number in the furthest left column of that row.
3. If the movement takes you to a box that is already occupied, go back to the last box that has been filled in, and place the next number directly below it.

In this way, we will put the values and get the numbers. Now, check out the attachment.

From there, you will get the answer i.e, the cow which each son will get.

But, the amazing fact is that, if you rotate the table, you will get another combination whose sum is 175.

Thus, there are four solution to this question.