(9) What is the value of x?
(i) The average (arithmetic mean) of 5, x2, 2, 10x, and 3 is -3.
(ii) The median of 109, -32, -30, 208, -15, x, 10, -43, 7 is -5.
In 2003, a then-nascent Internet search engine developed an indexing algorithm
called G-Cache that retrieved and stored X million webpages per hour. At the same time, a
competitor developed an indexing algorithm called HTML-Compress that indexed and stored
Y million pages per hour. If both algorithms indexed a positive number of pages per hour,
was the number of pages indexed per hour by G-Cache greater than three times the number of
pages indexed by HTML-Compress?
(i) On a per-hour basis in 2003, G-Cache indexed 1 million more pages than HTMLCompress indexed
(ii) HTML-Compress can index between 400,000 and 1.4 million pages per hour
If angle ABC is 30 degrees, what is the area of triangle BCE?
(i) Angle CDF is 120 degrees, lines L and M are parallel, and AC = 6, BC = 12, and EC =
(ii) Angle DCG is 60 degrees, angle CDG is 30 degrees, angle FDG = 90, and GC = 6, CD =
12 and EC = 12
If both x and y are positive integers less than 100 and greater than 10, is the sum x + y
a multiple of 11?
(i) x - y is a multiple of 22
(ii) The tens digit and the units digit of x are the same; the tens digit and the units digit of y are
If b is prime and the symbol # represents one of the following operations: addition,
subtraction, multiplication, or division, is the value of b # 2 even or odd?
(i) (b # 1) # 2 = 5
(ii) 4 # b = 3 # (1 # b) and b is even
If x and y are both integers, which is larger, xx or yy?
(i) x = y + 1
(ii) xy > x and x is positive.
By Ramandeep Singh