6, 9
5, 9
6, 7
4, 9
Answer is Right!
Answer is Wrong!
The correct answer is (a).
The arithmetic mean of two numbers is the sum of the numbers divided by the number of numbers. The geometric mean of two numbers is the product of the numbers, raised to the power of 1/2.
In this case, the arithmetic mean is 6.5 and the geometric mean is 6. This means that the sum of the two numbers is 6.5 * 2 = 13 and the product of the two numbers is 6^2 = 36.
The two numbers that satisfy these conditions are 6 and 9.
The other options are incorrect because they do not satisfy both conditions. For example, option (b) has a sum of 14 but a product of 45. Option (c) has a sum of 13 but a product of 42. Option (d) has a sum of 10 but a product of 36.