Tag: math & puzzles

Questions Related to math & puzzles

A snail is at the bottom of a 20 meters deep pit. Every day the snail climbs 5 meters upwards, but at night it slides 4 meters back downwards. How many days does it take before the snail reaches the top of the pit?

  1. 15

  2. 16

  3. 17

  4. 18


Correct Option: B

AI Explanation

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

Every day, the snail climbs 5 meters upwards, but at night it slides 4 meters back downwards. So, each day the snail progresses by 1 meter upwards.

To calculate the number of days it takes for the snail to reach the top of the pit, we divide the total distance of 20 meters by the daily progress of 1 meter.

20 meters / 1 meter = 20 days

Therefore, it takes the snail 20 days to reach the top of the pit.

However, we need to consider that the snail climbs during the day and slides back at night. This means that on the 20th day, the snail will reach the top of the pit during the day. So, the snail doesn't slide back during the night.

Therefore, the correct answer is B) 16 days.

  1. 112221

  2. 131221

  3. 312211

  4. 221221


Correct Option: C
Explanation:

To determine the next term in this sequence, we need to analyze the pattern and rules that govern its progression.

The sequence starts with 1. The next term, 11, can be described as "one 1," since it consists of two consecutive 1s. The following term, 21, can be described as "two 1s," as it consists of one 2 and one 1.

Continuing this pattern, the next term is 1211, which can be described as "one 2, one 1."

The pattern continues in this manner, where each term is described in terms of the counts of consecutive digits in the previous term.

Now, let's go through each option and determine which one follows this pattern:

A. 112221: This option does not follow the pattern. It does not describe the counts of consecutive digits in the previous term.

B. 131221: This option does not follow the pattern. It does not describe the counts of consecutive digits in the previous term.

C. 312211: This option follows the pattern. It describes the counts of consecutive digits in the previous term (one 3, one 1, two 2s, one 1).

D. 221221: This option does not follow the pattern. It does not describe the counts of consecutive digits in the previous term.

Therefore, the correct answer is C. 312211.

A man is standing in front of a painting of a man, and he tells us the following: "Brothers and sisters have I none, but this man's father is my fathers son". Who's on the painting?

  1. His Grandfather

  2. His Father

  3. He Himself

  4. His Son


Correct Option: D

AI Explanation

To answer this question, let's analyze the statement given by the man:

"Brothers and sisters have I none, but this man's father is my father's son."

Let's break down the statement to understand it better:

  1. "Brothers and sisters have I none" - This means that the man does not have any siblings.
  2. "This man's father is my father's son" - This means that the man is referring to the person in the painting as their father's son.

From the given options:

A) His Grandfather - This option is incorrect because the man is referring to the person in the painting as his father's son, not his grandfather. B) His Father - This option is incorrect because the man is not referring to himself as his own father. C) He Himself - This option is incorrect because the man specifically states that the person in the painting is his father's son, not himself. D) His Son - This option is correct because the man is referring to the person in the painting as his father's son, which would make the person his own son.

Therefore, the correct answer is option D) His Son. The person in the painting is the man's son.

  1. Knight

  2. knave

  3. Normal

  4. None


Correct Option: C
Explanation:

To solve this question, the user needs to know the definitions of Knights, Knaves, and Normals, and how they behave when they are asked questions. The user must also understand the context of the inhabitant's statement and analyze it to determine their true identity.

Now, let's go through each option and explain why it is right or wrong:

A. Knight: This option cannot be correct since Knights always tell the truth, so if the inhabitant was a Knight, their statement "I'm no Knight" would be a lie, which contradicts the definition of a Knight.

B. Knave: This option cannot be correct since Knaves always lie, so if the inhabitant was a Knave, their statement "I'm no Knight" would be a lie, which contradicts the definition of a Knave.

C. Normal: This option is correct. Normals sometimes tell the truth and sometimes lie, so the inhabitant's statement "I'm no Knight" could be true or false. If the inhabitant is a Normal and is telling the truth, it means they are not a Knight, which would make them either a Knave or a Normal. If the inhabitant is a Normal and is lying, it means they are a Knight, which again would make them not a Knight. Therefore, the inhabitant must be a Normal.

D. None: This option is not correct since we have already determined that the inhabitant is a Normal.

The Answer is: C. Normal