1 Is the measure of one of the interiorangles of quadrilateral ABCD equal to 60 degrees? (1) Two of the interior angles of ABCD are rightangles. (2) The degree measure of angle ABC is twice thedegree measure of angle BCD.
A. Statement (1) ALONE issufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE issufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHERare sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE issufficient. E. Statements (1) and (2) TOGETHERare NOT sufficient. Answer:
2 B
A
What is the volume of the cube above? (1) The surface area of the cube is 600 squareinches. (2) The length of diagonal AB is 10√3 inches.
A. Statement (1) ALONE issufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE issufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHERare sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE issufficient. E. Statements (1) and (2) TOGETHERare NOT sufficient. Answer: 3 Can a certainrectangular sheet of glass be positioned on a rectangular tabletop so that itcovers the entire tabletop and its edges are parallel to the edges of thetabletop? (1) The tabletop is 36 inches wide by 60 incheslong. (2) The area of one side of the sheet of glassis 2400 square inches.
l Statement(1) ALONE is sufficient, but statement (2) alone is not sufficient l Statement(2) ALONE is sufficient, but statement (1) alone is not sufficient l BOTHstatements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. l EACHstatement ALONE is sufficient l Statements(1) and (2) TOGETHER are NOT sufficient
Answer
4 To be eligible for retirement benefits atthe Omega Corporation, the sum of an employee’s age, in years, and the numberof years of employment must be at least 70. If x, where x < 70, is a certain employee’s age whenhired and y is the minimum number of years of employment required forthe employee to be eligible for retirement benefits, which of the followingequations represents the relationship between x and y ?