Data Sufficiency

If John is exactly 4 years older than Bill, how old is John? (1) Exactly 9 years ago John was 5 times as old as Bill was then. (2) Bill is more than 9 years old.

Paula and Sandy were among those people who sold raffle tickets to raise money for Club X. If Paula and Sandy sold a total of 100 of the tickets, how many of the tickets did Paula sell? (1) Sandy sold 2/3 as many of the raffle tickets as Paula did. (2) Sandy sold 8 percent of all the raffle tickets sold for Club X.

Is the perimeter of square S greater than the perimeter of equilateral triangle T? (1) The ratio of the length of a side of S to the length of a side of T is 4:5. (2) The sum of the lengths of a side of S and a side of T is 18.

Is z less than 0? (1) xy > 0 and yz < 0. (2) x > 0

If y > 0, is y greater than x ? (1) 3x = 2y (2) x + y = 5

In a sequence of numbers in which each term after the first term is 1 more than twice the preceding term, what is the fifth term? (1) The first term is 1. (2) The sixth term minus the fifth term is 32. DS21222

The figure above represents the floor plan of an art gallery that has a lobby and 18 rooms. If Lisa goes from the lobby into room A at the same time that Paul goes from the lobby into room R, and each goes through all of the rooms in succession, entering by one door and exiting by the other, which room will they be in at the same time ? (1) Lisa spends 2x minutes in each room and Paul spends 3x minutes in each room. (2) Lisa spends 10 minutes less time in each room than Paul does. Show Spoiler

If p1 and p2 are the populations and r1 and r2 are the numbers of representatives of District 1 and District 2, respectively, the ratio of the population to the number of representatives is greater for which of the two districts? (1) p1>p2 (2) r2>r1

In a certain business, production index p is directly proportional to efficiency index e, which is in turn directly proportional to investment i. What is p if i = 70? (1) e = 0.5 whenever i = 60 (2) p = 2.0 whenever i = 50

If n is a positive integer, what is the remainder when n is divided by 7? (1) When n is divided by 14 the remainder is 5. (2) n is less than 20.

A coal company can choose to transport coal to one of its customers by railroad or by truck. If the railroad charges by the mile and the trucking company charges by the ton, which means of transporting the coal would cost less than the other? (1) The railroad charges $5,000plus$0.01 per mile per railroad car used, and the trucking company charges $3,000plus$85 per ton. (2) The customer to whom the coal is to be sent is 195 miles away from the coal company.

Before play-offs, a certain team had won 80 percent of its games. After play-offs, what percent of all its games had the team won? (1) The team competed in 4 play-off games. (2) The team won all of its play-off games.

Is the integer n odd? (1) n is divisible by 3. (2) n is divisible by 5.

If p and q are positive integers and pq = 24, what is the value of p ? (1) q/6 is an integer. (2) p/2 is an integer.

If the total price of n equally priced shares of a certain stock was $12,000, what was the price per share of the stock? (1) If the price per share of the stock had been $1more,thetotalpriceofthenshareswouldhavebeen$300 more. (2) If the price per share of the stock had been $2 less, the total price of the n shares would have been 5 percent less.­ ID: 700113

Did the population of Country S increase by less than 20 percent from 1965 to 1975 ? (1) The population of Country S in 1965 was 180 million. (2) The population of Country S in 1975 was 1.17 times what it was in 1965.

Larry saves x dollars per month. Will Larry’s total savings one year from now exceed his present savings by at least $500 ? (1) In 6 months Larry's total savings will be $900. (2) In 3 months Larry's total savings will exceed his present savings by $150. ID: 700138 DS21223­

Quadrilateral RSTU shown above is a site plan for a parking lot in which side RU is parallel to side ST and RU is longer than ST. What is the area of the parking lot? (1) RU = 80 meters (2) TU = 20 10 − − √ 20 10 meters Show Spoiler

What digit does t represent in the decimal 0.t73 ? (1) t<5 𝑡 < 5 (2) 0.t73< 1 t 0. 𝑡 73 < 1 𝑡

A school administrator will assign each student in a group of N students to one of M classrooms. If 3<M<13<N, is it possible to assign each of the N students to one of the M classrooms so that each classroom has the same number of students assigned to it? (1) It is possible to assign each of 3N students to one of M classrooms so that each classroom has the same number of students assigned to it. (2) It is possible to assign each of 13N students to one of M classrooms so that each classroom has the same number of students assigned to it.