Tag: math & puzzles

Questions Related to math & puzzles

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?

general knowledge math & puzzles

  1. 350

  2. 300

  3. 956

  4. 128

Show answer
Correct Option: B

AI Explanation

To solve this problem, let's assume that Farmer Charlie initially had "x" number of chickens on his farm.

According to the given information, if he sells 75 chickens, he can feed the remaining chickens for 20 days longer. This means that the amount of chicken food he has can last for (x - 75) chickens for (20 + 15) days.

Similarly, if he buys 100 extra chickens, he would run out of chicken food 15 days earlier. This means that the amount of chicken food he has can last for (x + 100) chickens for (20 - 15) days.

Now, let's set up the equations based on the above information:

Equation 1: (x - 75) * (20 + 15) = x * 20 Equation 2: (x + 100) * (20 - 15) = x * 20

Let's solve these equations to find the value of x, which represents the initial number of chickens.

Expanding the equations: Equation 1: (x - 75) * 35 = 20x Equation 2: (x + 100) * 5 = 20x

Simplifying the equations: Equation 1: 35x - 2625 = 20x Equation 2: 5x + 500 = 20x

Solving for x: Equation 1: 35x - 20x = 2625 15x = 2625 x = 175

Equation 2: 20x - 5x = 500 15x = 500 x = 33.33

Since the number of chickens cannot be fractional, we can conclude that Farmer Charlie initially had 175 chickens on his farm.

Therefore, the correct answer is option A) 350.

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?

general knowledge math & puzzles

  1. 43

  2. 46

  3. 76

  4. 79

Show answer
Correct Option: A

AI Explanation

To solve this problem, we can use a concept called the "Frobenius coin problem." In this problem, we want to find the largest number that cannot be expressed as a sum of multiples of given numbers.

In this case, the given numbers are 6, 9, and 20. We want to find the largest number of bitterballs that cannot be ordered in these portions.

Let's analyze the given options:

Option A) 43 - This option is the correct answer. We can express 43 as a sum of multiples of 6, 9, and 20. For example, we can order 6 bitterballs (6 * 7 = 42) and add an extra 1 bitterball to make a total of 43.

Option B) 46 - We can express 46 as a sum of multiples of 6, 9, and 20. For example, we can order 9 bitterballs (9 * 5 = 45) and add an extra bitterball to make a total of 46.

Option C) 76 - We can express 76 as a sum of multiples of 6, 9, and 20. For example, we can order 20 bitterballs (20 * 3 = 60), 9 bitterballs (9 * 1 = 9), and 6 bitterballs (6 * 1 = 6) to make a total of 76.

Option D) 79 - We can express 79 as a sum of multiples of 6, 9, and 20. For example, we can order 20 bitterballs (20 * 3 = 60), 9 bitterballs (9 * 1 = 9), and 6 bitterballs (6 * 1 = 6) to make a total of 79.

Therefore, the correct answer is option A) 43. This option is correct because it is the largest number that cannot be ordered in portions of 6, 9, or 20.

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?
general knowledge math & puzzles

  1. 91

  2. 98

  3. 128

  4. none of these

Show answer
Correct Option: D

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?
general knowledge math & puzzles

  1. 480

  2. 240

  3. 360

  4. 120

  5. none of the above

Show answer
Correct Option: E

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?
general knowledge math & puzzles

  1. 3.5 min

  2. 2.5 min

  3. 4 min

  4. 3 min

Show answer
Correct Option: D

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?
general knowledge math & puzzles

  1. 60%

  2. 75%

  3. 25%

  4. 33.33%

Show answer
Correct Option: A

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?

general knowledge math & puzzles

  1. 292-322

  2. 291-322

  3. 291-321

  4. 290-320

Show answer
Correct Option: B

If tan2x=4root(2)/7 then sin(x)=?
general knowledge math & puzzles

  1. 1/2

  2. 1/root(2)

  3. 1/3

  4. 1/root(3)

  5. root(3)/2

  6. none of above

Show answer
Correct Option: C

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?
general knowledge math & puzzles

  1. 20

  2. 18

  3. 24

  4. 28

Show answer
Correct Option: C

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.

general knowledge math & puzzles

  1. 9.25 meters

  2. 10 meters

  3. 9.75 meters

  4. 20 meters

Show answer
Correct Option: C