A question is followed by data in the form of two statements labelled as I and II. You must decide whether the data given in the statements are sufficient to answer the questions.
What is the length of the line segment AB on the straight line PQ?
I. AP = BQ = 25 cm.
II. PQ = 300 cm.
For real numbers a, b and c. what is the value of a + b + c?
I. ac = 16.
II. a, b, c are in a geometric progression.
Is $$A \cap C = \varnothing$$
I. $$A \cap B = \varnothing$$
II. $$B \cap C = \varnothing$$
Is the integer n divisible by 120?
I. $$n = k(k^2 - 1)(k^2 - 4)$$ for some integer k.
II. n is divisible by 4 and 30.
For real numbers $$a, b$$ and $$c$$, is $$(a - b)^c > 0$$?
I. a < b
II. c is divisible by 16
For any real number x. the greatest integer not exceeding x is denoted by[x]. If [a] = 5 for some a, then what is [2a]?
I. $$a - [a] = \frac{2}{3}$$
II. a is a rational number
What is the maximum possible length of the rod that can be placed in the box with rectangular base?
I. The area of the base of the box is given as a square units.
II. The height of the box is given as h units.