1. Test Clasa 8- (Partea I)

The correct answer is 337 because when we divide 1348 by 4, we get 337 as the result.

The given question asks for the opposite of -6. The opposite of a number is the number that, when added to the original number, equals zero. In this case, the opposite of -6 is 6, because -6 + 6 equals zero.

The greatest common divisor (GCD) of two numbers is the largest number that divides both of them without leaving a remainder. In this case, the GCD of 20 and 25 is 5 because it is the largest number that divides both 20 and 25 evenly. The other options (10, 9, and 3) do not divide both numbers evenly, so they cannot be the GCD.

The correct answer is 39 because half of 78 is equal to 39.

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The correct answer is 7 because it is the largest number that can divide both 14 and 35 without leaving a remainder. The factors of 14 are 1, 2, 7, and 14, while the factors of 35 are 1, 5, 7, and 35. The greatest common factor among these numbers is 7, making it the largest divisor of both 14 and 35.

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The sum of the six numbers can be calculated by subtracting the sum of the other five numbers from the given arithmetic mean of 124. Since we only have four numbers given, it is not possible to calculate the sum accurately. Therefore, an explanation for the given answer of 744 is not available.

The cube of -4 is equal to -64. This means that if you multiply -4 by itself three times, the result will be -64.

The correct answer is 73 because the question asks for the sum of the squares of the numbers 3 and 8. The square of 3 is 9 and the square of 8 is 64. Adding these two values together gives a sum of 73.

The correct answer is 33 because it is a number that is 24 greater than 9.

The correct answer is 2 because the arithmetic mean, also known as the average, is calculated by adding up all the values and dividing the sum by the total number of values. In this case, the given values are 3, 2, 1, and 5. Adding these values gives us a sum of 11. Dividing 11 by the total number of values, which is 4, gives us an arithmetic mean of 2.

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The given expression is (20-4), which simplifies to 16. The square root of 16 is 4. Therefore, the square root of (20-4) is 4.

The given expression -3+(-7-2) can be simplified by performing the operations inside the parentheses first. -7-2 equals -9. Then, we add -3 to -9, resulting in -12. Therefore, the correct answer is -12.

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The given numbers are a=2- and b=2+. The geometric mean is the square root of the product of the two numbers. In this case, the product of a and b is (2-)(2+) = 4- = 4. Therefore, the square root of 4 is 2, which is the correct answer.

The correct answer is (-5,5) because the given condition states that the absolute value of x is less than 5. This means that x can take any value between -5 and 5, excluding -5 and 5 themselves. Therefore, the answer is the interval (-5,5).

The smallest common multiple of 8 and 10 can be found by listing the multiples of each number and finding the smallest number that appears in both lists. The multiples of 8 are: 8, 16, 24, 32, 40, ... and the multiples of 10 are: 10, 20, 30, 40, ... The smallest number that appears in both lists is 40, so it is the smallest common multiple of 8 and 10.

The cardinality of the union of sets A and B is the total number of elements in both sets combined. In this case, the union of sets A and B would contain all the elements from both sets without any duplicates. The union of A and B would be {1, 2, 3, 5, 8, 9, 10}, which has a total of 7 elements.