Test: Inequalities - GMAT MCQ

If xy > 0 and xz < 0, which of the following must be true?

I. y/z < 0
II. xyz < 0
III. xy - xz > 0

If a < b < c , which of the following must be true?

(I) a < b²
(II) b − a < c
(III) a² < b² < c²

Which of the following options should be the least value of n that satisfies the inequality, 2n > 10¹⁵² ?

What is the smallest integer x, such that one-third of the integer 1 greater than x is at least 2 more than one-fourth of the integer 1 less than x?

If -1 < h < 0, which of the following has the greatest value?

Nonzero real numbers x, y, a, and b satisfy x < a and y < b. How many of the following inequalities must be true?

(I) x + y < a + b
(II x - y < a - b
(III) xy < ab
(IV) x/y < a/b

If (5x + 11) is a positive integer, for how many integer values of x will the number (5x + 11) be less than 300?