Quiz: Prove Your Genius By Solving This Math Riddle

Explanation
The series follows a pattern where each number is obtained by adding 8 to the previous number. Starting from 8, adding 8 gives us 16, then adding 8 again gives us 24. Continuing this pattern, the next number would be obtained by adding 8 to 24, which gives us 32.

Explanation
The pattern in the series is that every alternate number is obtained by adding 2 to the previous number, while the other numbers are obtained by adding 4 to the previous number. Starting with 4, we add 2 to get 6, then add 4 to get 10, then add 2 to get 12, then add 4 to get 16. Therefore, the next number in the series would be obtained by adding 2 to 16, resulting in 18.

Explanation
The missing number in the series can be found by observing the pattern. The first number is 3, and then each subsequent number is obtained by adding 3 to the previous number. Therefore, the missing number should be 6, as it is obtained by adding 3 to 3.

Explanation
In this question, the number is described as having three digits. The third digit is four times smaller than the second digit, which means it is one-fourth of the second digit. The difference between the first and second digits is three. Among the given options, only 141 satisfies these conditions. The first digit is 1, the second digit is 4, and the third digit is 1/4 of 4, which is 1. Therefore, the correct answer is 141.

Explanation
If there are initially three cups of sugar and one cup is removed, then there will be only two cup of sugar remaining.

Explanation
The mouse starts on the fourth level and ascends five stories, which brings him to the ninth floor. He then descends seven stories, which brings him to the second floor. After that, he climbs six stories, which brings him to the eighth floor. He then descends three stories, which brings him to the fifth floor. Finally, he ascends four floors, which brings him to the ninth floor again. Therefore, the mouse is on the ninth floor.

Explanation
Rico the Rabbit consumes 1 carrot on Sunday, 2 on Monday, 4 on Tuesday, and so on. This is an example of a geometric sequence, where each term is double the previous term. To find the total number of carrots consumed per week, we need to sum the terms of this sequence. The sum of a geometric sequence can be calculated using the formula Sn = a(1 - r^n) / (1 - r), where a is the first term, r is the common ratio, and n is the number of terms. In this case, a = 1, r = 2, and n = 7 (since there are 7 days in a week). Plugging in these values, we get Sn = 1(1 - 2^7) / (1 - 2) = 1(1 - 128) / (-1) = -127 / (-1) = 127. Therefore, Rico consumes 127 carrots per week.

Explanation
In a basketball shootout tournament with 16 players, each round eliminates half of the players. In the first round, 16 players compete and 8 players advance. In the second round, 8 players compete and 4 players advance. In the third round, 4 players compete and 2 players advance. In the fourth and final round, the remaining 2 players compete and a winner is declared. Therefore, a total of 15 rounds must be completed before a winner is declared.

Explanation
The hundreds digit is 1 because it is eight less than the tens digit. The tens digit is 9 because it is eight more than the ones digit. The ones digit is 3 because the difference between the ones and tens digits is six. Therefore, the correct answer is 193.

Explanation
On Mars, a day is equivalent to two weeks on Earth. Therefore, if we divide 24 hours (a day on Earth) by 2, we get 12 hours. This means that a day on Mars is 12 hours long. Since the question asks for the length of an hour on Mars, we divide 12 hours (a Martian day) by 24 (an Earth day) to get 0.5. Therefore, an hour on Mars is 0.5 Earth hours. However, none of the given options match this calculation, so the correct answer is not available.