Counterexample

Official Guide practice (find these in your Official Guide or at www.gmatclub.com)

Use a combination of picking examples to eliminate answers and using logic or algebra to see why the correct answer can be deduced. Most of the problems here are ‘must be’, but look out for ‘could be’ problems as well, which follow a similar logic.

PS00984 Which of the following statements must be true

PS12786 If k2 = m2, which of the following must be true?

PS08025 The positive two-digit integers x and y

PS03371 If 0 < a < b < c, which of the following

PS03214 If x and y are positive integers such that

PS04482 If x/y = c/d and d/c = b/a,

PS01622 The symbol Δ denotes

PS02777 If x and y are positive number

PS16828 If < 1, and p and q are positive integers

PS07601.02 In the correctly worked addition problem shown

2SK1G34 If 2 s > 8 and 3 t < 9,