top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

Identify the two numbers from the following conversation?

0 votes
274 views

There is a one person who have two numbers, he tells sum to the person A and product of those numbers to B.

Now there is this conversion between A and B.

A: I don't know what are the numbers.

B: I also don't know what are the numbers.

A: Now i know what are the numbers.

B: Now i also know what are the numbers.

Assuming A and B to be very wise and good in mathematics, What are those two numbers?

posted Apr 29, 2014 by anonymous

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

2 Answers

0 votes

Numbers are 2 and 2.
A would have got 4, which means 1+3 or 2+2. so that’s why he was not sure of the numbers.
B would have also got 4, possibilities 1*4 and 2*2.

Now, had the numbers be 1 and 3, B would have got 3 and he would have been sure of the numbers, but that was not the case, So A became sure that numbers are 2 and 2.

Now, B knows that numbers cant be 1 and 4, because there are two possibilities of getting the sum as 5, 1+4, 2+3, and in both these cases A cant guess the number depending on B’s earlier answer, as for both product 4 and 6 there are more than 1 possibilities.

Thus B also knows that the numbers are 2 and 2.

answer Apr 29, 2014 by Salil Agrawal
–2 votes

A: I don't know what are the numbers.

answer Apr 29, 2014 by Suganya.m



Similar Puzzles
+3 votes
What are the numbers "m" and "n" in this conversation?

Two whole numbers, m and n, have been chosen. Both are greater than 1 and the sum of them is less than 100. The product, m × n, is given to mathematician X. The sum, m + n, is given to mathematician Y. Then both mathematicians have the following conversation:

X: "I have no idea what your sum is, Y."
Y: "That's no news to me, X. I already knew you didn't know that."
X: "Aha! Now I know what your sum must be, Y!"
Y: "And now I also know what your product is, X!"
+1 vote
What is the name of the woman - Can you guess the name of the women from the following conversation?

A woman has 3 cats,
Each cat has 8 kittens each Each cat has 1 bowl and two blankets,
Each pair kitten has 1 bowl and two blankets,
Each cat consumes three fish heads and drinks two bowls,
Each kitten consumes one fish head and half a bowl,
WHAT IS THE WOMAN'S NAME.

Can you guess the name of the woman?

0 votes
Fill the boxes with numbers from 1-8 by following below mentioned rules?

Fill the boxes

You have to fill the boxes with numbers from 1-8 by following below mentioned rules.

Rule 1: Predecessor and successor can’t be besides. Example if we take number 3 in any box, than neither side of 3 can have 2 or 4.

Rule 2: Predecessor and successor can’t be upside or downside. Example: if we take 3 in any box, then the box above can not have 2 or 4, similarly box below can not have 2 or 4.

Rule 3: Predecessor and successor can’t be diagonally either.

Rule 4: c is smaller than f, else there can be 2 solutions.

And now there can be only 1 solution.

...