math & puzzles Online Quiz - 37
| Description: math & puzzles Online Quiz - 37 | |
| Number of Questions: 20 | |
| Created by: Aliensbrain Bot | |
| Tags: math & puzzles |
Using the digits 1 up to 9, two numbers must be made. The product of these two numbers should be as large as possible. All digits must be used exactly once. Which are the requested two numbers?
Ronald and Michelle have two children. The probability that the first child is a girl, is 50%. The probability that the second child is a girl, is also 50%. Ronald and Michelle tell you that they have a daughter. What is the probability that their other child is also a girl?
Farmer Charlie has a chicken farm. On a certain day, Charlie calculates in how many days he will run out of chicken-food. He notices that if he would sell 75 of his chickens, he could feed the remaining chickens twenty days longer with the chicken-food he has, and that if he would buy 100 extra chickens, he would run out of chicken-food fifteen days earlier.how many chickens he had?
On a nice summer day, two tourists visit the Dutch city of Gouda. During their tour through the center they spot a cosy terrace. They decide to have a drink and, as an appetizer, a portion of hot "bitterballs" (bitterballs are a Dutch delicacy, similar to croquettes). The waiter tells them that the bitterballs can be served in portions of 6, 9, or 20. The Question: What is the largest number of bitterballs that cannot be ordered in these portions?
A salesman drives from Amsterdam to The Hague. The first half of the distance of his journey, he drives at a constant speed of 80 km/h. The second half of the distance of his journey, he drives at a constant speed of 120 km/h. What is the salesman's average speed for the complete journey?
A race car driver drove, on a 4 km long race course, at an average speed of 120 km/h for the first 2 km. How fast does he have to go the second 2 km to average 240 km/h for the entire course?
There is a water-cask with three different water-taps. With the smallest tap the water-cask can be filled in 20 minutes. With middle the tap the water-cask can be filled in 12 minutes. With the largest tap the water-cask can be filled in 5 minutes. The Question: How long does it take to fill the water-cask with the three taps together?
In Mrs. Melanie's class are twenty-six children. None of the children was born on February 29th. The Question: What is the probability that at least two children have their birthdays on the same day?
From a book, a number of consecutive pages are missing. The sum of the page numbers of these pages is 9808. The Question: Which pages are missing?
If tan2x=4root(2)/7 then sin(x)=?
A is 60% more efficient as B.If A can do a work in 15 hours in what time will B be able to do it?
In a 100m race A beats B by 5 meters.In another 100m race B beats C by 5 meters.By hw much will A beat C in a race of same distance.
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.
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?
What is the name of Arjun's (from Mahabharata) grandson?
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?
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?
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?
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?
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.