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Four popular social media influencers – Nadia, Emma, Liam, and Jack – participated in a viral “Truth Challenge” where each made two statements about their participation in a charity event.
However, the challenge had a twist:
Their statements were:
Nadia tweeted:
1. “Emma donated exactly half of what she claimed.”
2. “Jack didn’t donate anything.”
Emma posted on Instagram:
1. “I donated the full amount I promised.”
2. “Nadia donated everything she claimed.”
Liam shared on TikTok:
1. “Jack didn’t donate anything.”
2. “Emma donated the full amount she promised.”
Jack wrote on his blog:
1. “Nadia didn’t donate anything.”
2. “I donated the full amount I promised.”
Can you determine who was completely honest, who was completely dishonest, and who was partially honest about their participation in the charity event?
Let’s approach this systematically:
1. First, let’s determine who was completely dishonest:
a) If Nadia was completely dishonest, then Emma did not donate half of what she claimed, and Jack did donate something. This doesn’t contradict other statements, so it’s possible.
b) If Emma was completely dishonest, then she didn’t donate the full amount and Nadia didn’t donate everything. This contradicts Liam’s second statement, so Emma can’t be completely dishonest.
c) If Liam was completely dishonest, then Jack donated something and Emma didn’t donate the full amount. This contradicts Emma’s first statement, but we can’t be sure if that’s true.
d) If Jack was completely dishonest, then Nadia donated something and Jack didn’t donate the full amount. This aligns with Nadia and Liam’s statements.
2. Now, let’s determine who was completely honest:
a) If Nadia was completely honest, then both Emma and Jack would be dishonest, which isn’t possible as only one person is completely dishonest.
b) If Emma was completely honest, then she and Nadia both donated fully. This contradicts Nadia’s statement about Emma.
c) If Liam was completely honest, then Jack didn’t donate and Emma donated fully. This aligns with all other statements except Jack’s, making it a possibility.
d) If Jack was completely honest, it would contradict Nadia and Liam’s statements about him not donating.
3. From this analysis, we can conclude:
– Liam was completely honest
– Jack was completely dishonest
– Nadia and Emma were each honest in one statement and dishonest in the other
We can verify this:
– Nadia correctly stated that Jack didn’t donate (true) but was wrong about Emma (false).
– Emma correctly stated that Nadia donated everything (true) but lied about her own donation (false).
– Liam was correct on both counts (true).
– Jack lied about both his and Nadia’s donations (false).
Therefore, Liam was completely honest, Jack was completely dishonest, and Nadia and Emma were each partially honest about the charity event.
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