Another way to say it

Logic Level 1

"This man can't succeed because he is not truthful"

If the statement above is true, which of these answer choices must be true as well?

All of these choices None of these Only successful persons are truthful All truthful persons succeed

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Abdeslem Smahi by Abdeslem Smahi , 24, Algeria

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1 solution

Rico Lee
Sep 30, 2016

I am quite shocked about the fact that, when I checked the stats, 46% of people got this correct out of 538 solvers. Make sure to think twice, fellow mathematicians.

'All truthful persons succeed.' This cannot be true as not every truthful person can succeed, following common sense.

'Only successful persons are truthful.' Again, following common sense just because a person is successful it doesn't mean that they are truthful. You never know what lies they may have told to achieve successfulness. Obviously, 'all of these choices are true' cannot be correct.

Therefore, None of these choices are correct.

5 Helpful 1 Interesting 0 Brilliant 0 Confused

Like with many of these questions, the statements are not necessarily crafted to coincide with reality, so: "This man cannot succeed because he is not truthful" This means that the set containing successful people must be contained entirely within the set of truthful people.

"All truthful persons succeed" is not necessarily true, because if truthful encompasses success, that still means there may be truthful elements that are unsuccessful. "All successful persons are truthful" would be a valid statement.

"Only successful persons are truthful" is also not necessarily true, because whilst all successful people are truthful, nothing is indicated about any other type of person.

Therefore, none of the answers are true.

NOTE: I do think this question isn't phrased particularly well though if any moderators want to look it over!

Samuel Swinnerton - 4 years, 7 months ago

modus tollens: if a follows b, you can conclude non b follows non a, cant you? so if the guy cant succeed (b), because he s not truthful(a), than you can conclude: you have to be truthful(non a) to succeed (non b).

a b - 4 years ago

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