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Whether it’s possible to construct a magic square using the first nine prime numbers (here counting 1 as prime):
1 2 3 5 7 11 13 17 19
Is it?
Find the possibility here!
What was the task given?
That's impossible task. All the listed prime numbers sums together to 78. For square to be magic, sum of each row & column must be equal. In this case, it should be 78/3 = 26.
For sum of 3 to be even, 1 must be even & other 2 odd (or all even). All 3 odd can't sum even.
In listed prime numbers there is only 1 even number i.e.2. Hence, for other 2 rows/columns we can't have even sum.
There is an Island of puzzles where numbers 1 - 9 want to cross the river.
There is a single boat that can take numbers from one side to the other.
However, maximum 3 numbers can go at a time and of course, the boat cannot sail on its own so one number must come back after reaching to another side.
Also, the sum of numbers crossing at a time must be a square number.
You need to plan trips such that minimum trips are needed.
This should be that minimum number!
What was the challenge?
We need only 7 trips to send all digits across the river.
1. Send 2, 5, 9 (sum is 16).
2. Bring back the 9.
3. Send 3,4, 9 (sum is 16).
4. Bring back the 9.
5. Now send 1,7,8 (sum is 16).
6. Bring back the 1.
7. And finally send 1,6,9 (sum is 16).
A prisoner is faced with a decision where he must open one of two doors. Behind each door is either a lady or a tiger. They may be both tigers, both ladies or one of each.
If the prisoner opens a door to find a lady he will marry her and if he opens a door to find a tiger he will be eaten alive. Of course, the prisoner would prefer to be married than eaten alive :).
Each of the doors has a statement written on it. The statement on door one says, “In this room there is a lady, and in the other room there is a tiger.”
The statement on door two says, “In one of these rooms there is a lady, and in one of these rooms there is a tiger.”
The prisoner is informed that one of the statements is true and one is false.
Which door should the Prisoner open?
This should be his choice!
What were the choices?
For a moment, let's assume that first statement is true. The lady is behind the Door 1 and tiger is behind the Door 2. But this makes statement 2 also true where it says there is tiger behind one of these door & lady behind one of these doors. Hence, the statement 1 can't be true.
Hence, statement 2 must be true.
Only possibilities left are -
Door 1 - Tiger
Door 2 - Tiger
Door 1 - Lady
Door 2 - Lady
Door 1 - Tiger
Door 2 - Lady.
Since, the true second statement is suggesting there is lady behind 1 & tiger behind the other door, the possibilities of both tigers or ladies are eliminated.
That's why behind Door 1 is tiger & behind Door 2 is lady.
What three digits are represented by X, Y, and Z in this addition problem?
XZY
+XYZ
______
YZX
Here is the solution!
