Choose the best answer
Four kids, Oliver, Rachel, Sarah, and Todd, were playing upstairs when you
heard a loud crash. You ran to the room and found a broken vase on the floor.
When you questioned the kids on who broke the vase, they said:
"It wasn't me!" screamed Oliver.
"It was Oliver!" yelled Rachel.
"No, it was Rachel," blamed Sarah.
"Rachel is a liar," said Todd.
Patrick, the babysitter who liked logic puzzles, told you that only one of them
was telling the truth. Which of the kids broke the vase?
Answers
Given : Statements by Four kids, Oliver, Rachel, Sarah, and Todd,
"It wasn't me!" screamed Oliver.
"It was Oliver!" yelled Rachel.
"No, it was Rachel," blamed Sarah.
"Rachel is a liar," said Todd.
Only one is telling the truth
To Find : who broke the vase
Solution:
Case : 1 - Oliver is speaking Truth
"It wasn't me!" screamed Oliver. - ( assumed Truth ) Oliver did not break
"It was Oliver!" yelled Rachel. ( LIAR )
"No, it was Rachel," blamed Sarah.
"Rachel is a liar," said Todd. ( TRUTH) not possible as assumed Oliver is speaking Truth
Hence contradicts
Case : 2 - Rachel. is speaking Truth
"It wasn't me!" screamed Oliver. - LIAR
"It was Oliver!" yelled Rachel. ( TRUTH ) Oliver break vase
"No, it was Rachel," blamed Sarah. LIAR
"Rachel is a liar," said Todd. LIAR as Rachel is speaking true
Satisfies all conditions
Hence Oliver break vase
Case : 3 - Sarah . is speaking Truth
"It wasn't me!" screamed Oliver. - TRUTH as Oliver did not break
"It was Oliver!" yelled Rachel.
"No, it was Rachel," blamed Sarah. ( TRUTH) Oliver did not break but Rachel break
"Rachel is a liar," said Todd.
Hence contradicts
Case : 4 - Todd. is speaking Truth
"It wasn't me!" screamed Oliver. - ( TRUTH )
"It was Oliver!" yelled Rachel. ( LIAR) Hence it was not Oliver who break vase
"No, it was Rachel," blamed Sarah.
"Rachel is a liar," said Todd. TRUTH
Hence contradicts
So in all 4 cases , case 2 did not contradicts Hence Oliver break vase
Case : 2 - Rachel. is speaking Truth
"It wasn't me!" screamed Oliver. - LIAR
"It was Oliver!" yelled Rachel. ( TRUTH ) Oliver break vase
"No, it was Rachel," blamed Sarah. LIAR
"Rachel is a liar," said Todd. LIAR as Rachel is speaking true
Satisfies all conditions
Hence Oliver break vase
Learn More:
On an island, sun worshipers are truthful, moon worshipers are liars and earth worshipers are alternators.
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Answer:
Oliver
Step-by-step explanation:
Only one of them was telling the truth, so here it is:
1. "It wasn't me!" screamed Oliver (False)
2. "It was Oliver!" yelled Rachel (True)
3. "No, it was Rachel," blamed Sarah (False)
4. "Rachel is a liar," said Todd (False)