Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2024-04-24 23:49:15

Irene
Member
Registered: 2024-04-22
Posts: 85

Who took it?

A teacher popped out of the classroom, leaving a test paper on her desk. When she came back, it was missing. Four stundents were in the room: Ku, Lu, Mu and Nu. Of these, only one tells the truth. Ku said, Mu took it.              lu said i did not take it.        Mu said Lu is lieing                Nu said Mu is lying                 Who took it?


I love Maths

Offline

#2 2024-04-25 00:57:53

KerimF
Member
From: Aleppo-Syria
Registered: 2018-08-10
Posts: 240

Re: Who took it?

Fortunately, there were 4 students only and 3 of them are liars.

Let us assume that Ku took it:
Ku=Mu took it=wrong
Lu=I did not take it=right
Mu=Lu is lying=wrong
Nu=Mu is lying=right

Let us assume that Lu took it:
Ku=Mu took it=wrong
Lu=I did not take it=wrong
Mu=Lu is lying=wrong
Nu=Mu is lying=right

Let us assume that Mu took it:
Ku=Mu took it=right
Lu=I did not take it=right
Mu=Lu is lying=wrong
Nu=Mu is lying=right

Let us assume that Nu took it:
Ku=Mu took it=wrong
Lu=I did not take it=right
Mu=Lu is lying=wrong
Nu=Mu is lying=right

Therefore, the answer is...

Added:
In case, there is one liar only among them, the answer would be...

Last edited by KerimF (2024-04-25 01:01:14)


Every living thing has no choice but to execute its pre-programmed instructions embedded in it (known as instincts).
But only a human may have the freedom and ability to oppose his natural robotic nature.
But, by opposing it, such a human becomes no more of this world.

Offline

#3 2024-04-25 01:10:09

Irene
Member
Registered: 2024-04-22
Posts: 85

Re: Who took it?

In short, Lu took it how? Well he was the first to defend him self and remember only one tells the truth. And all the rest(liars) said Mu was lying. Am i right?


I love Maths

Offline

#4 2024-04-25 02:20:52

KerimF
Member
From: Aleppo-Syria
Registered: 2018-08-10
Posts: 240

Re: Who took it?

Irene wrote:

In short, Lu took it how? Well he was the first to defend him self and remember only one tells the truth. And all the rest(liars) said Mu was lying. Am i right?

You are right.

Last edited by KerimF (2024-04-25 02:21:05)


Every living thing has no choice but to execute its pre-programmed instructions embedded in it (known as instincts).
But only a human may have the freedom and ability to oppose his natural robotic nature.
But, by opposing it, such a human becomes no more of this world.

Offline

#5 2024-04-25 03:18:04

Irene
Member
Registered: 2024-04-22
Posts: 85

Re: Who took it?

I am a puzzle master.


I love Maths

Offline

Board footer

Powered by FluxBB