Braingle Lite



Ministerial Mutterings

Category:Logic
Submitted By:dalfamnest
Fun:*** (2.57)
Difficulty:*** (2.46)



In the purely fictitious land of Fiddledeboox, the Minister of Finance emerged from a top-level meeting. Reporters had gathered to hear his announcement about either an increase or a decrease in either wages, subsidies or tax levels.

It was widely known that this Minister [M] told the truth to reporters [R] only once in every three statements.

M: Well, I can tell you that it's about subsidies.
R: Are they going down again?
M: Nothing is going down.
R: So it's good news for the people?
M: Of course. Either subsidies are going down or there will be a wage increase.

While others jostled to ask the next question, one logically minded newshound was already leaving with the hot headline news.

From the Minister's three statements above, can you also deduce the truth?

Show Hint Show Answer



Comments on this teaser


Posted by dalfamnest01/06/10
Oh, Rob! You should be a politician! It is taking me a while to work through your explanation! Maybe you're right - but I think you might be reading too much into the 'Of course.' That simply means that the minister wants the populace to believe that whatever he is doing will be good for them. Hmmm :roll: ... I'll return to that tomorrow with a clear head! Anyone else? :wink:

Posted by Stack160702/07/10
Great teaser :D ! But I have to say that I arrived at the same conclusion as rob12345. However, I see that it was wrong now, since the going up of subsidies would necessarily make both statement (1) and (2) true [It is about the subsidies and they are going up (nothing is going down)]. The going down of subsidies, on the other hand, would make both (1) and (3) true. I think rob12345, and I, misunderstood (2) [nothing is going down -> something is going up]. IMHO :) :)

Posted by nidhikaila02/07/10
even i thot that Of course.. in statement 3 means that the announcement is populist, and my entire solution went kaput with that.. if 3 is false, then the measure is not populist. This means that wages cannot go up, and taxes cannot go down. Even if we remain non commital on subsidies (though, in populist terms, subsidies should go up).. this one left me confused!

Posted by zembobo03/17/10
I believe there will be a wage increase. Assume statement 1 is the false one so it is NOT about subsidies. so statement 2 can be true that nothing is going down. And as for statement 3, we have an "or" situation where only 1 condition needs to be satisfied to make the statement true. That condition is the wage increase. So there you have it. Answer given is wrong (faulty logic) and this teaser was easy! Lets look at the tax level increase as the answer says. Then 1 is false because it would NOT be about subsidies, AND 3 is false because it satisfies NEITHER of the two conditions. So how can you have two false statements? How can it possibly be about tax level increase?

Posted by zembobo03/17/10
Ok ok nevermind. Ignore my last post because i read the teaser wrong :-( I was thinking we needed two true statements when really we needed two false statements. The answer given is correct.




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