Data Sufficiency

Is x a negative number? (1) 9x > 10x (2) x + 3 is positive.

S = 2 n 1 x + 2 3 x S = 2 n 1 x + 2 3 x In the expression above, if xn ≠ 0, what is the value of S? (1) x = 2n (2) n = 1/2

If Carmen had 12 more tapes, she would have twice as many tapes as Rafael. Does Carmen have fewer tapes than Rafael? (1) Rafael has more than 5 tapes. (2) Carmen has fewer than 12 tapes.

If m is an integer, is m odd? (1) m/2 is not an even integer (2) m-3 is an even integer

Joanna bought only $0.15stampsand$0.29 stamps. How many $0.15 stamps did she buy? (1) She bought $4.40 worth of stamps. (2) She bought an equal number of $0.15stampsand$0.29 stamps.

In the rectangular coordinate system above, if OP < PQ, is the area of region OPQ greater than 48 ? (1) The coordinates of point P are (6,8) (2) The coordinates of point Q are (13,0)

What is the value of b + c ? (1) ab + cd + ac + bd = 6 (2) a + d = 4

If Juan had a doctor's appointment on a certain day, was the appointment on a Wednesday? (1) Exactly 60 hours before the appointment, it was Monday. (2) The appointment was between 1:00 pm and 9:00 pm

In a certain class, one student is to be selected at random to read. What is the probability that a boy will read? (1) Two-thirds of the students in the class are boys. (2) Ten of the students in the class are girls.

x-4=z y-x=8 8-z=t For the system of equations given, what is the value of z? (1) x = 7 (2) t = 5

Of the total number of copies of Magazine X sold last week, 40 percent were sold at full price. What was the total number of copies of the magazine sold last week? (1) Last week, full price for a copy of Magazine X was $1.50andthetotalrevenuefromfull-pricesaleswas$112,500. (2) The total number of copies of Magazine X sold last week at full price was 75,000. ID: 700316

Cars Y and Z travel side-by-side at the same rate of speed along parallel roads as shown above. When car Y reaches point P, it forks to the left at angle x°, changes speed, and continues to stay even with car Z as shown by the dotted line. The speed of car Y beyond point P is what percent of the speed of car Z? (1) The speed of car Z is 50 miles per hour. (2) x = 45

In a retail store, the average (arithmetic mean) sale for month M was d dollars. Was the average (arithmetic mean) sale for month J at least 20 percent higher than that for month M? (1) For month M, total revenue from sales was $3,500. (2) For month J, total revenue from sales was $6,000.

The table above gives the number of calories and grams of protein per kilogram of foods S and T. If a total of 7 kilograms of S and T are combined to make a certain food mixture, how many kilograms of food S are in the mixture? (1) The mixture has a total of 12,000 calories. (2) The mixture has a total of 810 grams of protein.

A certain alloy contains Lead, copper and tin. How many pounds of tin are in 56 pounds of the alloy? (1) By weight the alloy is 3/7 lead and 5/14 copper. (2) By weight the alloy is 6 parts lead and 5 parts copper.

What was John's average driving speed in miles per hour during a 15-minute interval? (1) He drove 10 miles during this interval. (2) His maximum speed was 50 miles per hour and his minimum speed was 35 miles per hour during this interval.

If the area of triangular region RST is 25, what is the perimeter of RST? (1) The length of one side of RST is 5 2 √ 5 2 . (2) RST is a right isosceles triangle.

On a certain day it took Bill three times as long to drive from home to work as it took Sue to drive from home to work. How many kilometers did Bill drive from home to work? (1) Sue drove 10 kilometers from home to work, and the ratio of ( d i s t a n c e d r i v e n f r o m h o m e t o w o r k ) ( t i m e t o d r i v e f r o m h o m e t o w o r k ) ( d i s t a n c e d r i v e n f r o m h o m e t o w o r k ) ( t i m e t o d r i v e f r o m h o m e t o w o r k ) was the same for Bill and Sue that day. (2) The ratio of ( d i s t a n c e d r i v e n f r o m h o m e t o w o r k ) ( t i m e t o d r i v e f r o m h o m e t o w o r k ) ( d i s t a n c e d r i v e n f r o m h o m e t o w o r k ) ( t i m e t o d r i v e f r o m h o m e t o w o r k ) for Sue that day was 64 kilometers per hour.

What percent of the employees of Company X are technicians? (1) Exactly 40% of the men and 55% of the women employed by Company X are technicians (2) At company X, the ratio of the number of technicians to the number of nontechnicians is 9 to 11

Claire paid a total of $1.60forstamps,someofwhichcost$0.20 each, and the rest of which cost $0.15 each. How many 20-cent stamps did Claire buy? (1) Claire bought exactly 9 stamps. (2) The number of 20-cent stamps Claire bought was 1 more than the number of 15-cent stamps she bought.