Problem 1 :
Among the five numbers 5/9, 4/7, 3/5, 6/11 and 13/21 which one has the smallest value ?
(A) 5/9 (B) 4/7 (C) 3/5 (D) 6/11 (E) 13/21
Problem 2 :
Adrian, Biliy, Christopher, David and Eric are the five starters of a school's basketball team. Two among the five shoot with their left hand while the rest shoot with their right hand. Among the five, only two are more than 1.8 meters in height. Adrian and Billy shoot with the same hand, but Christopher and David shoot with different hands. Biliy and Christopher are respectively the shortest and tallest member of the team, while Adrian and David have the same height. Who is more than 1.8 meters tall and shoots with his left hand?
(a) None (B) Only Christopher (C) Only Eric
Christopher and Eric (E) Not enough information to ascertain
Problem 3 :
How many ways are there to arrange 3 identical blue balls and 2 identical red balls in a row if the two red balls must always be next to each other?
(A) 2 (B) 4 (c) 5 (D) 10 (E) 20
Problem 4 :
If. a,b and c are positive real numbers such that
Problem 5 :
In the figure below, each distinct letter represents a unique digit such that the arithmetic sum holds. What is the digit represented by the letter B?
(A) 0 (B) 2 (c) 4 (D) 6 (E) 8
Problem 6 :
Find the minimum value of the function
2015 - [10/(x^{2} -4x + 5)]
(A) 2000 (B) 2005 (c) 2010
(D) 2013 (E) None of these
Problem 7 :
It is known that 99900009 is the product of four consecutive odd of squares of these four odd numbers.
(A) 40000 (B) 40010 (c) 40020
(D) 40030 (E) 40040
Problem 8 :
The lengths of the sides of the triangle are
x^{2}, 22 - x and x - 2
The total number of possible integer value of x is.
(A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Problem 9 :
Find the value of
Problem 10 :
If x and y satisfy the equation 2x^{2} + 3y^{2} = 4x, the maximum value of 10x + 6y^{2} is
(A) 2 (B) 9/2 (C) 20 (D) 81/4 (E) None
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM