Preparing for Higher Math

Mathematics Preparing for Higher Math

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 is impossible to find any two positive real numbers x and y for which

A
L(x,y) = R(x,y)
B
L(x,y) ≠ R(x,y)
C
L(x,y) < R(x,y)
D
L(x,y) < R(x,y)
E
None

Source: Algebra word problems from the AQuA-RAT dataset (Ling et al., 2017), published by Google DeepMind under the Apache License 2.0. Go to the official source →

AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.