Tag: math & puzzles

Questions Related to math & puzzles

"There are 3 triplet brothers. They look identical. The oldest is John, he always tells the truth. The second is Jack, he always tells a lie. The third is Joe, he either tells the truth or a lie. Jimmie Dean went to visit them one day. He was wondering who was who. So he asked each person a question. He asked the one who was sitting on the left: ""Who is the guy sitting in the middle?"". The answer was ""He is John."" He asked the one who was sitting in the middle: ""What is your name?"". The answer was ""I am Joe."" He asked the one who was sitting on the right: ""What is the guy sitting in the middle?"". The answer was ""He is Jack."" Jimmie Dean got really confused. Basically, he asked 3 same questions, but he got 3 different answers. Would you find out who is who for Jimmie?"

  1. Jack on the right. The middle one is John. Joe on the left

  2. Joe on the Right. John in the Middle . Jack on the left.

  3. John on the Left. The middle one is Jack. Joe on the Right

  4. John on the right. The middle one is Jack. Joe on the left


Correct Option: D

AI Explanation

To solve this question, let's analyze the answers given by each person and determine who is who:

  1. The person sitting on the left said that the person in the middle is John.
  2. The person sitting in the middle said that his name is Joe.
  3. The person sitting on the right said that the person in the middle is Jack.

Let's analyze each option to see which one matches the given answers:

Option A) Jack on the right. The middle one is John. Joe on the left - According to this option, the person sitting on the left is Joe, but the person sitting in the middle is John. However, the person sitting on the left said that the person in the middle is John, so this option is incorrect.

Option B) Joe on the Right. John in the Middle. Jack on the left - According to this option, the person sitting on the left is Jack. However, the person sitting on the left said that the person in the middle is John, so this option is incorrect.

Option C) John on the Left. The middle one is Jack. Joe on the Right - According to this option, the person sitting on the left is John. However, the person sitting on the left said that the person in the middle is John, so this option is incorrect.

Option D) John on the right. The middle one is Jack. Joe on the left - According to this option, the person sitting on the left is Joe, which matches the answer given by the person sitting in the middle. Additionally, the person sitting on the right said that the person in the middle is Jack, which also matches this option. Therefore, this option is correct.

Therefore, the correct answer is option D) John on the right. The middle one is Jack. Joe on the left.

"Jimmie Dean visited an island. There were 2 tribes living on this island. The east tribal people always tell a lie. The west tribal people always tell the truth. Jimmie Dean saw a guy passing him. He asked the tour guide to ask that guy where he lives. The tour guide asked the guy and came back with the answer: he lives over west. Did the tour guide tell the truth or tell a lie?"

  1. the tour guide was telling the truth.

  2. the tour guide was telling the lie

  3. Don’t know

  4. None of the above


Correct Option: A

AI Explanation

To answer this question, let's analyze the situation:

Jimmie Dean visited an island with two tribes: the east tribal people, who always tell lies, and the west tribal people, who always tell the truth.

Jimmie Dean saw a guy passing him and asked the tour guide to ask the guy where he lives. The tour guide asked the guy and came back with the answer: "he lives over west."

Given that the west tribal people always tell the truth, we can conclude that the tour guide was telling the truth.

Therefore, the correct answer is A) the tour guide was telling the truth.

"There are 3 boxes labeled as box A, box B, and box C. Only one box has the gift you wanted, the other 2 are empty. Assume you pick the box A, you will have one third (1/3) of chance to win the gift. If I open the box B and show you the box B is empty, do you want to exchange your Box A for Box C in order to get a better chance to win? "

  1. Yes

  2. No

  3. Don’t know

  4. None of the above


Correct Option: B

"A six digit number 312132 has two 1's, two 2's and two 3's. This number has a very interesting attribute: 1 digit exists between two 1s, 2 digits exist between two 2's and 3 digits exist between two 3s. Can we add two more 4s to become an eight digit number and still holding the above attributes plus 4 digits exist between two 4s? "

  1. 12341234 or 23421314

  2. 12341234 or 23412341

  3. 41312432 or 23421314

  4. 34211234 or 23412341


Correct Option: C
Explanation:

To solve this question, the user needs to understand the pattern of the given six-digit number and apply it to find the correct eight-digit number that satisfies all the given conditions.

The given six-digit number is 312132, which has two 1s, two 2s, and two 3s, with 1 digit between two 1s, 2 digits between two 2s, and 3 digits between two 3s.

We need to add two more 4s to the number and still keep the pattern. We know that four digits should exist between two 4s. Therefore, we can place the first 4 between the two 1s, and the second 4 between the two 2s, resulting in an eight-digit number.

Let's go through each option to find the one that satisfies all the given conditions:

A. 12341234 or 23421314: These options do not satisfy the condition that 4 digits should exist between two 4s.

B. 12341234 or 23412341: These options do not satisfy the condition that 3 digits should exist between two 3s.

C. 41312432 or 23421314: The option 23421314 satisfies all the given conditions, with two 1s, two 2s, two 3s, and two 4s, with 1 digit between two 1s, 2 digits between two 2s, 3 digits between two 3s, and 4 digits between two 4s.

D. 34211234 or 23412341: These options do not satisfy the condition that 2 digits should exist between two 2s.

Therefore, the correct answer is:

The Answer is: C. 41312432 or 23421314.

  1. 1,2 and 3

  2. 2, 3, and 4

  3. 3,4 and 5

  4. 4, 5 and 6


Correct Option: B
Explanation:

To solve this question, the user needs to understand the relationship between the number of students in each group, their product, and the visiting date. The user must also consider the possible visiting dates based on the given information.

Let's consider each option and eliminate those that are impossible based on the information provided:

Option A: 1, 2, and 3. The product of these numbers is 6. However, there are no dates in February that are the 6th of the month, so this option is not possible.

Option B: 2, 3, and 4. The product of these numbers is 24. February 4th is the only possible date in February that has a product of 24, so this option is possible.

Option C: 3, 4, and 5. The product of these numbers is 60. However, there are no dates in February that are the 60th of the month, so this option is not possible.

Option D: 4, 5, and 6. The product of these numbers is 120. However, there are no dates in February that are the 120th of the month, so this option is not possible.

Therefore, the only possible answer is:

The Answer is: B. 2, 3, and 4.

"There were 2 tribes living on an island. The east tribal people always tell a lie. The west tribal people always tell the truth. Alan and Bryan came from the same tribe. However, we do not know which tribe they came from. When they were asked the marital status, Alan said: “Both of us are married.” But Bryan said: “I am not married”. Are they really married? "

  1. Both are unmarried

  2. Both are married

  3. Alan is married but Bryan is not.

  4. Bryan is married but Alan is not.


Correct Option: D

"This was a burglary in the Silver City jewelry store last Sunday. Three suspects: Robert, Scott, and Tommy were caught and questioned. Each person said, ""One of the other two stole it. I did not do it."" Later on the police found out that Tommy was lying and there was only one thief. Who was the thief?"

  1. Robert

  2. Scott

  3. Tommy

  4. None of the above


Correct Option: C

AI Explanation

To solve this question, we need to analyze the statements given by the suspects and determine who is telling the truth.

Let's go through each statement:

Robert: "One of the other two stole it. I did not do it." Scott: "One of the other two stole it. I did not do it." Tommy: "One of the other two stole it. I did not do it."

From their statements, we can conclude that each suspect is blaming the other two and claiming their own innocence. However, since the police later found out that Tommy was lying and there was only one thief, we can conclude that Tommy is the thief.

Therefore, the correct answer is C. Tommy.