Answer for question 10
Perimeter = 25 + 25 + 10 + 10 + 5 + 5 = 80
When four cars have traveled ¼ of the total distance, there is sufficient fuel to fill two full tanks. After traveling another ¼ of the total distance, there is enough fuel to fill one full tank. Finally, the remaining car will have enough fuel to reach their destination.
The previous response only partially answers the question. To get full mark, the answer is three cars.
We start with 3 cars, all with full tanks. Car 3 keeps the parcel.
Borrow a horse from the neighbor and make the total number of horses to 18. This allowed the horses to be divided easily according to the father’s wishes. Here’s how it works:
Adding these up:
9+6+2=17
Let x be the number of correct answer
Let y be the number of wrong answer
8x-5y = 0
x+y=26
13x=130
x=10
y=16
Start both the 7-minute hourglass and the 11-minute hourglass at the same time. Once the 7-minute hourglass finishes its cycle, start a timer. After 4 minutes have passed, invert the 11-minute hourglass when it completes its first cycle. When the 11-minute hourglass finishes another full 11-minute cycle, the total elapsed time will be the initial 4 minutes from the inversion of the 11-minute hourglass, added with the 11 minutes of its second cycle, resulting in a total of 15 minutes.
Try thinking beyond conventional boundaries or norms. The significance of the numbers in this sequence extends beyond their numerical value. Instead, they represent the length of each word in the sequence, starting with the number one. The sequence is as follows: 3, 3, 5, 4, 4, 3, 5, 5, 4, 3, 6, 6. The last number, 6, corresponds to the word “twelve,” which consists of six letters. Consequently, the subsequent three numbers, 8, 8, and 7, illustrate the number of letters in the words “thirteen,” “fourteen,” and “fifteen,” respectively.
The sequence follows the pattern: 1, 2, 2, 4, 5, 9, 13, 22, 34, 56, …
Starting from the third number, each subsequent number is obtained by summing the previous number with either -0 or -1, depending on its position in the sequence. If the position is odd, subtract 1; if the position is even, subtract 0. For instance, in the third position, 1 + 2 – 1 = 2; in the sixth position, 4 + 5 – 0 = 9. Therefore, the next three numbers are calculated as follows:
34 + 56 – 1 = 89
56 + 89 – 0 = 145
89 + 145 – 1 = 233
Let’s engage in critical thinking. When Alice is asked if she is a truth teller, her response presents two potential scenarios: If Alice is a truth teller, she consistently speaks the truth, and thus she would answer with “Yes, I am a truth teller.” If Alice is a liar, she habitually tells lies, and therefore she would also respond with “Yes, I am a truth teller.”
Now, let’s analyze Bob’s statements. Bob claims, “Alice says yes,” suggesting that Bob is a truth teller. Additionally, Bob asserts that Alice is a liar.
Using the process of hypothesis and ruling out by contradiction, we can evaluate all different scenarios:
Scenario 1: Assume A is a liar.
Scenario 2: Assume B is a liar.
Scenario 3: Assume C is a liar.
Scenario 4: Assume D is a liar.
In conclusion, only Scenario 1 is valid, indicating that C is the tallest and D is the shortest.