CAT 2002 — QA Question 25
Basics (Functions)Easy
Suppose, for any real number x, [x] denotes the greatest integer less than or equal to x. Let L(x, y) = [x] + [y] + [x + y] and R(x, y) = [2x] + [2y]. Then it’s impossible to find any two positive real numbers x and y for which of the following?
Answer & solution
- A
L(x, y) = R(x, y)
- B
L(x, y) ≠ R(x, y)
- C
L(x, y) < R(x, y)
L(x, y) > R(x, y)
Solution
Assume the values for x and y.
Let x = 1.1 and y = 2.1
∴ L(x, y) = 6 and R(x, y) = 6
Let x = 1.1 and y = 2.5
L(x, y) = 6 and R(x, y) = 7
Thus, options (1), (2) and (3) are eliminated.
Hence, option (d).