(#969 - 1000 best IQ questions in history)

Nine similar dashboard with the length 1 meter, are stack up each other. The underneath dashboard is sticked with 502 [elephant] gel. Is it possible to use the dartboard to reach the other side which has a distance 1,4 meters from the end of the underneath dartboard? Explain why.

(#688 - 1000 best IQ questions in history)

THE SECRET DOOR

Imagine that you are in the TV show "The secret door" and has the chance to win a very expensive beautiful car. That car is behind only 1 of 3 doors that are not opened, and the two others are monkeys. After you'd chosen a door, the MC opened one door and behind that door is a monkey. You now have two choices: 

* Keep the door

* Change the door

What decision is better? Explain why.

(#678 - 1000 best IQ questions in history)

A TALENT GUNSHOT

Three cowboys Amos, Butch and Cody decided to solve the conflict by a gunshot battle. They drawn to determine the order of shooting and then each person will only shoot 1 time by sequence and the battle will end if only 1 person was alive. Amos and Butch are two excellent cowboys at shooting and never miss any target, while Cody only shoots to target in the probability 50%. From those information, do you know who has the biggest chance to live? Explain why and find the two other's probability to be alive.

A certain sphere has a volume that is numerically equal to three times its surface area. What is the radius of this sphere?

What is the maximum number of points of intersection of a right triangle with a square, assuming no side of the triangle is collinear with any side of the square?

Today I've received a letter from some users in Mathulike. https://e-learning.codienhanoi.edu.vn/profile/fccontra123 (the one who is having 15 points in this week for self-tick) and the two others (these accounts are controled by only 1 user) has sent harassing, bad-word messages to others. This has happen in the user for 3 times. I suggest Admin to delete these users forever.

* https://e-learning.codienhanoi.edu.vn/profile/fccontra123   (1)

* https://e-learning.codienhanoi.edu.vn/users/mikchiataydi

* https://e-learning.codienhanoi.edu.vn/users/superside

Not just only that, these accounts are used for self-tick to the main account (1). Because of self-tick, this account has over 500 point (although no one ticked for this account). This user also A\(^4\) for a lot. This is the evidence of what I had said:

(P/s: Also to Mathulike community, I and the moderators,coordinators had known and will know the users break the rules.)

If you can't see the photos, go to:

https://drive.google.com/file/d/1qgl3DbKR5h6381Hezw_18uSL9szlsH3y/view?usp=sharing

https://drive.google.com/file/d/1SZJ7ePliDkLii0QdOhsd_Gqvyz3Q6Msm/view?usp=sharing

(#680 - 1000 best IQ question in history)

FLIP THE COIN

A probability expert asks a man to flip a coin 200 times and give the answer to him. When the man gave the result, he just look into the result that he had khown that was the incorrect report, not he flip it 200 times. Can you explain how he knew that?

A pencil and 5 paper clips weigh the same as 2 erasers. A pencil weighs the same as 29 paper clips. How many paper clips weigh the same as an eraser?

How many integers between 100 and 1000 contain no digits other than 3, 4 or 5? 

What is the units digit of \(2^{2017}\cdot7^{2017}\)?

Answer and explain why: \(0^0=?\)

How many 4-inch square tiles are needed to cover a wall that measures 6 feet by 8 feet?

In circle O, the lengths of chords AB and BC are equal and m\(\angle\)ABC = 90 degrees. Given that circle O has a radius of 3 meters, what is the length of arc ABC? Express your answer in terms of π.

Kathy Beckhardt weighs four of her sheep at the fair. She can weigh two of them at a time on the big scale. Sheep A and sheep B have an average weight of 150 pounds, sheep B and sheep C have an average weight of 127 pounds, and sheep C and sheep D have an average weight of 168 pounds. What is the average weight of sheep A and sheep D?

The lunch-ordering app for Pete’s Pizza Parlor requires you to choose two distinct meats from among pepperoni, Canadian bacon and sausage; or choose two distinct vegetables from among mushrooms, onions, green peppers and black olives; or choose one meat and one vegetable from among the same choices. How many different pizza combinations are possible using the lunch-ordering app? 

David’s optometrist sold him a bottle of eyeglass cleaner containing 30 mL of glasscleaning solution. Assuming there are 20 drops per milliliter, and assuming proper cleaning requires 3 drops of glass cleaner on each side of each lens, what is the maximum number of times David can properly clean his glasses before he must buy a new bottle of eyeglass cleaner? 

A cubic yard of topsoil is to be spread evenly in the garden at Prove It! Math Academy. The garden measures 10 feet by 8 feet. How many inches deep will the topsoil be? Express your answer as a mixed number.

What is the value of 1,000,000! ÷ 999,999!?

Min Zhang wrote down all of the two-digit multiples of 5. What is the probability that one of these numbers, chosen at random, has exactly two distinct primes that are factors? Express your answer as a common fraction.

A right triangle has legs with lengths of 5 cm and 10 cm. What is the length of the altitude drawn to the hypotenuse of this triangle? Express your answer in simplest radical form.