If f(x + 2) = f(x) + f(x + 1) for all positive integers x, and f(11) = 91, f(15) = 617, then f(10) equals

If u² + (u − 2v − 1)² = −4v(u + v), then what is the value of u + 3v?

The number of integers x such that 0.25 ≤ 2^x ≤ 200, and 2^x + 2 is perfectly divisible by either 3 or 4, is

If log₂(5 + log₃ a) = 3 and log₅(4a + 12 + log₂ b) = 3, then a + b is equal to

While multiplying three real numbers, Ashok took one of the numbers as 73 instead of 37. As a result, the product went up by 720. Then the minimum possible value of the sum of squares of the other two numbers is

If log₁₂ 81 = p, then 3((4 − p)/(4 + p)) is equal to

How many numbers with two or more digits can be formed with the digits 1, 2, 3, 4, 5, 6, 7, 8, 9, so that in every such number, each digit is used at most once and the digits appear in the ascending order?

If x is a positive quantity such that 2^x = 3^(log₅ 2), then x is equal to

Let f(x) = min{2x², 52 − 5x}, where x is any positive real number. Then the maximum possible value of f(x) is