Sunday 27 January 2013

Bodmas and his students

Mr. Bodmas is the known maths wizard who was able to solve any number mysteries within a fraction of time. He was mainly known for his invention about the rules of calculation patterns. The rule itself is known as BODMAS rule. The full form of it is: BRACKETS OF DIVISION MULTIPLICATION ADDITION SUBTRACTION. The rule says that when we found all these things into a formula, from where to start the calculation. ie, we first solve the equation within the brackets. So, Brackets have the highest priority. Then in the descending order of priority comes, Division, Multiplication, Addition and Subtraction.

This wizard had three of his students who were grasping each and every concepts of numbers easily. He wanted to test their abilities. So, he handed each of them a sealed envelope with a number written inside. He told all of them that they each have a positive integer written inside the envelope.  And, the sum of all the integers is 14.

They each opened the envelope and inspected their numbers. The task for them was to find the numbers written on others' envelopes. To reach a conclusion these three students say:

The names of these three students are: Amit, Shashi and Rahul.

Amit says(after seeing his envelope) : "I know that Shashi and Rahul each have a different number."
Shashi says: "I already knew that all three of our numbers were different."

After listening to these two speak,
Instantly, Rahul says: "Now I know what all three of our numbers are."

How can Rahul know what the numbers of others are? And what are those numbers?

By that, I leave this puzzle in your brain muscles to be solved. I will wait for your answer. The puzzle needs some deep thinking, but this puzzle doesn't require any complex concepts of numbers. So, give yourself a try and solve it.

1 comment:

  1. 14 can be presented as a sum of 3 numbers in the following ways:-

    if Snap had an even number then he would not have been able to guess that other 2 have different numbers, so he must have an odd number...

    1,3,5,7,9,11.

    Crackle says he also knew numbers are different that means he also had an odd number:-
    1,3,5,7,9,11.

    the numbers will be 2,5,7... only set of 3 prime numbers which adds upto 14...

    ReplyDelete

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