Data Sufficiency

Is x greater than 75 percent of y ? (1) x = 40 (2) y = 50

What is the length in meters of a certain rectangular garden? (1) The length of the garden is 6 meters more that twice the width. (2) The length of the garden is 4 times the width.

What was the range of the selling prices of the 30 wallets sold by a certain store yesterday? (1) 1/3 of the wallets had a selling price of $24 each. (2) The lowest selling price of the wallets was 1/3 the highest selling price of the wallets.

Is a > b? (1) a − b > 0. (2) a² > b².

What is the value of ( a b ) n ( 𝑎 𝑏 ) 𝑛 ? (1) a n =32 𝑎 𝑛 = 32 (2) b n =243 𝑏 𝑛 = 243

The figure above represents the floor of a square foyer with a circular rug partially covering the floor and extending to the outer edges of the floor as shown. What is the area of the foyer that is not covered by the rug? (1) The area of the foyer is 9 square meters. (2) The area of the rug is 2.25π square meters. DS20382 Show Spoiler

The cost to charter a certain airplane is x dollars. If the 25 members of a club chartered the plane and shared the cost equally, what was the cost per member? (1) If there had been 5 more members and all 30 had shared the cost equally, the cost per member would have been $40 less. (2) The cost per member was 10 percent less than the cost per person on a regularly scheduled flight.

If x is equal to one of the numbers 1 4 1 4 , 3 8 3 8 , or 2 5 2 5 , what is the value of x? (1) 1 4 <x< 1 2 1 4 < 𝑥 < 1 2 (2) 1 3 <x< 3 5 1 3 < 𝑥 < 3 5

If d is a positive integer, is d √ 𝑑 an integer? (1) d is the square of an integer. (2) d √ 𝑑 is the square of an integer.

Is xy > 5? (1) 1≤x≤3 and 2≤y≤4 (2) x + y = 5 DS17150

If point x is inside a circle with center o and radius 2, is point y inside the same circle? (1) OX =1 (2) XY = 2.5

Pat is reading a book that has a total of 15 chapters. Has Pat read at least 1/3 of the pages in the book? (1) Pat has just finished reading the first 5 chapters. (2) Each of the first 3 chapters has more pages than each of the other 12 chapters in the book. ID: 700139 DS21225­

The integer x is how much greater than 3? (1) 10 x =100,000 10 𝑥 = 100 , 000 (2) 1 10 x =0.00001 1 10 𝑥 = 0.00001

If y<x 𝑦 < 𝑥 , is x 2 < y 2 𝑥 2 < 𝑦 2 ? (1) y > 0 (2) x > 0

Tom, Jane, and Sue each purchased a new house. The average (arithmetic mean) price of the three houses was $120,000. What was the median price of the three houses? (1) The price of Tom’s house was $110,000. (2) The price of Jane’s house was $120,000.

What is the tenths digit of the decimal d ? (1) d= 7 25 𝑑 = 7 25 (2) d is 28 percent of 1

What amount did Jean earn from the commission on her sales in the first half of 1988 ? (1) In 1988 Jean's commission was 5 percent of the total amount of her sales. (2) The amount of Jean's sales in the second half of 1988 averaged $10,000 per month more than in the first half.

Rectangle ABCD is inscribed in a circle as shown above. What is the radius of the circle? (1) The length of the rectangle is √3 and the width of the rectangle is 1. (2) The length of arc AB is 1/3 of the circumference of the circle. Show Spoiler

If a, b, and c are integers, is a - b + c greater than a + b - c? (1) b is negative (2) c is positive

If Q is an integer between 10 and 100, what is the value of Q? (1) One of Q's digits is 3 more than the other, and the sum of its digits is 9. (2) Q < 50