Data Sufficiency

How many of the boys in a group of 100 children have brown hair? (1) Of the children in the group, 60 percent have brown hair. (2) Of the children in the group, 40 are boys.

If P and Q are each circular regions, what is the radius of the larger of these regions? (1) The area of P plus the area of Q is equal to 90π 90 𝜋 . (2) The larger circular region has a radius that is 3 times the radius of the smaller circular region.

Is x an integer ? (1) 2x/3 is an integer (2) x - 4 is an integer

According to the graph above, the sale of fruits and vegetables in Store S last week accounted for what percent of the total sales income for the week? (1) Last week the total income from the sale of fruits and vegetables in Store S was $16,000. (2) x = 2y ID: 700137 DS21221 Show Spoiler ­

Is y=6 𝑦 = 6 ? (1) y 2 =36 𝑦 2 = 36 (2) y 2 −7y+6=0 𝑦 2 − 7 𝑦 + 6 = 0 Source: Quant Review 1st Edition

If x, y, p, and q are positive, is x≥y ? (1) px qy = p q (2) xy=p

The table above shows the results of a survey of 100 voters who each responded "Favorable" or "Unfavorable" or "Not Sure" when asked about their impressions of Candidate M and of Candidate N. What was the number of voters who responded "Favorable" for both candidates? (1) The number of voters who did not respond "Favorable" for either candidate was 40. (2) The number of voters who responded "Unfavorable" for both candidates was 10.

In ΔJKL shown above, what is the length of segment JL ? (1) JK = 10 (2) KL = 5 DS83602.01 OG2020 NEW QUESTION Show Spoiler

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

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.