Tag: math & puzzles

Questions Related to math & puzzles

In a circular track of 100km A runs at 25 km/hr and B runs at 10 km/hr. In hw much time does a overtake b for the 3rd time.
general knowledge math & puzzles

  1. 20h

  2. 40h

  3. 8.57h(approx)

  4. none of these

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Correct Option: A

If a shop is selling a choclate for a rupee and it gives a choclate in exchage of three wrapers, then how many choclates can I buy with Rs 15?

general knowledge math & puzzles

  1. Twenty

  2. Twenty Two

  3. Fifteen

  4. Twenty One

Show answer
Correct Option: B

What is the name of Arjun's (from Mahabharata) grandson?

general knowledge math & puzzles

  1. Parikshit

  2. Drishtadyumna

  3. Sanjay

  4. Mahendra

Show answer
Correct Option: A

Long ago, there was a king who had six sons. The king possessed a huge amount of gold, which he hid carefully in a building consisting of a number of rooms. In each room there were a number of chests; this number of chests was equal to the number of rooms in the building. Each chest contained a number of golden coins that equaled the number of chests per room. When the king died, one chest was given to the royal barber. The remainder of the coins had to be divided fairly between his six sons. The Question: Is a fair division possible in all situations?

general knowledge math & puzzles

  1. Yes

  2. No

  3. For some integers

  4. Indeterminable

Show answer
Correct Option: A

A cable, 16 meters in length, hangs between two pillars that are both 15 meters high. The ends of the cable are attached to the tops of the pillars. At its lowest point, the cable hangs 7 meters above the ground. The Question: How far are the two pillars apart?

general knowledge math & puzzles

  1. >16

  2. 0

  3. 16

  4. None of these

Show answer
Correct Option: B

AI Explanation

To solve this problem, we can use the concept of a right triangle and the Pythagorean theorem.

Let's assume that the distance between the two pillars is "x" meters.

We can form a right triangle with the cable as the hypotenuse, one pillar as the base, and the ground as the height. The other pillar will also have the same height.

Using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, we can write the following equation:

$x^2 = 15^2 - 7^2$

$x^2 = 225 - 49$

$x^2 = 176$

Taking the square root of both sides, we get:

$x = \sqrt{176}$

$x \approx 13.26$

Therefore, the distance between the two pillars is approximately 13.26 meters.

Since none of the given options match the correct answer, we can conclude that the correct answer is D) None of these.

Two whole numbers, m and n, have been chosen. Both are unequal to 1 and the sum of them is less than 100. The product, m × n, is given to mathematician X. The sum, m + n, is given to mathematician Y. Then both mathematicians have the following conversation: X: "I have no idea what your sum is, Y." Y: "That's no news to me, X. I already knew you didn't know that." X: "Ahah! Now I know what your sum must be, Y!" Y: "And now I also know what your product is, X!" The Question: What are the smallest values of m and n?

general knowledge math & puzzles

  1. 5, 25

  2. 4, 13

  3. 17, 11

  4. 3, 10

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Correct Option: B

You are a participant in a quiz. The quizmaster shows you three closed doors. He tells you that behind one of these doors there is a prize, and behind the other two doors there's nothing. You select one of the doors, but before you open it the quizmaster deliberately picks out a remaining empty door and shows that there is nothing behind it. The quizmaster offers you a chance to switch doors with the remaining closed door. The Question: Should you stick to your choice?

general knowledge math & puzzles

  1. Yes

  2. Does not matter

  3. No

  4. Can't tell

Show answer
Correct Option: C

You have an unlimited number of coins with a diameter d and you stack them. The goal is to let the topmost coin stick out as far as possible. The Question: What is the maximal distance between the center of the topmost coin and the center of the lowermost coin? Take the thickness of a coin as t.

general knowledge math & puzzles

  1. d

  2. Between d and 3d/2

  3. Depends on d and t

  4. Infinity

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Correct Option: D

Someone shows you two boxes and he tells you that one of these boxes contains two times as much as the other one, but he does not tell you which one this is. He lets you choose one of these boxes, and opens it. It turns out to be filled with \$10. Now he gives you the opportunity to choose the other box instead of the current one (and skip the \$10 of the first box), because the second box could contain twice as much (i.e. \$20). The Question: Should you choose the second box, or should you stick to your first choice to maximize the expected amount of money? A Hint : If you have \$10, and you could double this with a chance of 1/2, or half it with a chance of 1/2, one would expect an average of 1/2 * \$20 + 1/2 * \$5 = \$12.5 (so you would expect to gain $2.5)!...
general knowledge math & puzzles

  1. Take the first box

  2. Take the second box

  3. Doesn't make difference

  4. Indeterminable

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Correct Option: A

In a city called Veldhoven the following facts are true: No two inhabitants have exactly the same number of hairs. No inhabitant has exactly 40360 hairs. There are more inhabitants than there are hairs on the head of any one inhabitant. What is the largest possible number of inhabitants of Veldhoven (knowing that the number of inhabitants is not infinite)?
general knowledge math & puzzles

  1. 0

  2. 40359

  3. 40360

  4. 40361

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Correct Option: C