Brain Teasers
Ministerial Mutterings
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?
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?
Hint
Assume each statement, in turn, to be true. Then examine the truth or otherwise of the others.Or check the statements in the light of each of the six possibilities.
Answer
It was a tax increase.Solution:
Remember that only one statement can be true.
If (1) is true then either (2) or (3) will be true as well. So (1) is a lie.
If (3) is true, either (1) or (2) would be also true. So (3) is a lie.
If (2) is true, it must be either wages or taxes going up or (1) would be true. It cannot be wages, making (3) true, so taxes are increasing.
There are other ways of deducing this gloomy news.
Hide Hint Show Hint Hide Answer Show Answer
What Next?
View a Similar Brain Teaser...
If you become a registered user you can vote on this brain teaser, keep track of which ones you have seen, and even make your own.
Solve a Puzzle
Comments hidden to avoid spoilers.
Follow Braingle!