Data Sufficiency

The selling price of an article is equal to the cost of the article plus the markup. The markup on a certain television set is what percent of the selling price? (1) The markup on the television set is 25 percent of the cost. (2) The selling price of the television set is $250.

What is the tenths digit in the decimal representation of a certain number? (1) The number is less than 1/3. (2) The number is greater than 1/4.

d = 0.43t7 If t denotes the thousandths digit in the decimal representation of d above, what digit is t? (1) If d were rounded to the nearest hundredth, the result would be 0.44. (2) If d were rounded to the nearest thousandth, the result would be 0.436.

A department manager distributed a number of pens, pencils, and pads among the staff in the department, with each staff member receiving x pens, y pencils, and z pads. How many staff members were in the department? (1) The numbers of pens, pencils, and pads that each staff member received were in the ratio 2:3:4, respectively. (2) The manager distributed a total of 18 pens, 27 pencils, and 36 pads.

In triangle ABC, point X is the midpoint of side AC and point Y is the midpoint of side BC. If point R is the midpoint of line segment XC and if point S is the midpoint of line segment YC, what is the area of triangular region RCS ? (1) The area of triangular region ABX is 32. (2) The length of one of the altitudes of triangle ABC is 8.

Is the number of seconds required to travel d1 feet at r1 feet per second greater than the number of seconds required to travel d2 feet at r2 feet per second? (1) d1 is 30 greater than d2 (2) r1 is 30 greater than r2.

4, 6, 8, 10, 12, 14, 16, 18, 20, 22 List M (not shown) consists of 8 different integers, each of which is in the list shown. What is the standard deviation of the numbers in list M ? (1) The average (arithmetic mean) of the numbers in list M is equal to the average of the numbers in the list shown. (2) List M does not contain 22.

Mary persuaded n friends to donate $500eachtoherelectioncampaign,andtheneachofthesenfriendspersuadednmorepeopletodonate$500 each to Mary’s campaign. If no one donated more than once and if there were no other donations, what was the value of n? (1) The first n people donated 1/16 of the total amount donated. (2) The total amount donated was $120,000.

At a certain company, a test was given to a group of men and women seeking for promotions. If the average (arithmetic mean) score for the group was 80, was the average score for the women more than 85? (1) The average score for the men was less than 75. (2) The group consisted of more men than women.

Robots X, Y, and Z each assemble components at their respective constant rates. If r x r x is the ratio of Robot X's constant rate to Robot Z's constant rate and r y r y is the ratio of Robot Y's constant rate to Robot Z's constant rate, is Robot Z's constant rate the greatest of the three? (1) r x < r y r x < r y (2) r y < 1 r y < 1

The annual rent collected by a corporation from a certain building was x percent more in 1998 than in 1997 and y percent less in 1999 than in 1998. Was the annual rent collected by the corporation from the building more in 1999 than in 1997? (1) x > y x > y (2) x y 100 < x − y x y 100 < x − y

Is √(x + y) an integer? (1) x^3 = 64 (2) x^2 = y – 3

If x and y are integers, is xy even? (1) x = y + 1. (2) x/y is an even integer.

In the xy-plane, region R consists of all the points (x,y) such that 2 x + 3 y ≤ 6 2 x + 3 y ≤ 6 . Is the point (r,s) in region R? (1) 3 r + 2 s = 6 3 r + 2 s = 6 (2) r ≤ 3 r ≤ 3 and s ≤ 2 s ≤ 2

What is the volume of a certain rectangular solid? (1) Two adjacent faces of the solid have areas 15 and 24, respectively. (2) Each of two opposite faces of the solid has area 40.

For any positive integer x, the 2-height of x is defined to be the greatest nonnegative integer n such that 2^n is a factor of x. If k and m are positive integers, is the 2-height of k greater than the 2-height of m? (1) k > m (2) k/m is an even integer.

On a company-sponsored cruise, 2/3 of the passengers were company employees and the remaining passengers were their guests. If 3/4 of the company-employee passengers were managers, what was the number of company-employee passengers who were NOT managers? (1) There were 690 passengers on the cruise. (2) There were 230 passengers who were guests of the company employees.

If A and B are positive integers, is the product AB even? (1) The sum A + B is odd. (2) A is even.

How many integers are there between, but not including, integers r and s ? (1) s-r=10 (2) There are 9 integers between, but not including, r + 1 and s + 1.

If 90 students auditioned for the school musical, how many were accepted? (1) 2/3 of the boys and 1/3 of the girls who auditioned were accepted. (2) 26 of the boys who auditioned were accepted.