Data Sufficiency

Attachment: train.jpg [ 35.62 KiB | Viewed 16295 times ] The table above shows the morning schedule for train X . If Juan took train X on Monday morning, did he arrive at station T on schedule? (1) Juan arrived at station T on Monday morning 1 hour and 2 minutes after he left station S . (2) Juan arrived at his office at 8:30 (EST) on Monday morning, which was 20 minutes after he arrived at station T .

Some computers at a certain company are Brand X and the rest are Brand Y. If the ratio of the number of Brand Y computers to the number of Brand X computers at the company is 5 to 6, how many of the computers are Brand Y? (1) There are 80 more Brand X computers than Brand Y computers at the company. (2) There is a total of 880 computers at the company.

Is x > 0 ? (1) x 2 >0 𝑥 2 > 0 (2) x 3 >0 𝑥 3 > 0

If n is an integer between 2 and 100 and if n is also the square of an integer, what is the value of n? (1) n is the cube of an integer. (2) n is even.

Is x less than y? (1) x - y + 1 < 0 (2) x - y - 1 < 0 DS26402.01

If ⊙ denotes a mathematical operation, does x⊙y=y⊙x 𝑥 ⊙ 𝑦 = 𝑦 ⊙ 𝑥 for all x and y? (1) For all x and y, x⊙y=2( x 2 + y 2 ) 𝑥 ⊙ 𝑦 = 2 ( 𝑥 2 + 𝑦 2 ) (2) For all y, 0⊙y=2 y 2 0 ⊙ 𝑦 = 2 𝑦 2 DS17602.01

If x is an integer, is (x + p)(x + q) an even integer? (1) q is an even integer. (2) p is an even integer.

In the figure above, segments RS and TU represent two positions of the same ladder leaning against the side SV of a wall. The length of TV is how much greater than the length of RV? (1) The length of TU is 10 meters. (2) The length of RV is 5 meters. DS48602.01 Show Spoiler

A car traveled a distance of d miles in t minutes at an average rate of r miles per minute. What is the ratio of d to r ? (1) t = 30 (2) d = 25 ID: 700123 DS20557­

What is the value of t ? (1) The average (arithmetic mean) of t^2 and 8t is –8. (2) t 4 − − √ =16 𝑡 4 = 16

In the xy –plane, is point (2, – 3) on line l ? (1) Point (– 2, 3) is on line l. (2) l is not perpendicular to the x – axis.

If n and k are positive integers, is √ n+k >2 √ n ? (1) k > 3n (2) n + k > 3n

Stores L and M each sell a certain product at a different regular price. If both stores discount their regular price of the product, is the discount price at Store M less than the discount price at Store L? (1) At Store L the discount price is 10 percent less than the regular price; at Store M the discount price is 15 percent less than the regular price. (2) At Store L the discount price is $5lessthantheregularstoreprice;atStoreMthediscountpriceis$6 less than the regular price.

Is x^2 – y^2 a positive number? (1) x – y is a positive number. (2) x + y is a positive number. DS48302.01 Show Spoiler

Is quadrilateral RSTV a rectangle? (1) The measure of ∠RST is 90o (2) The measure of ∠TVR is 90o

All trainees in a certain aviator training program must take both a written test and a flight test. If 70 percent of the trainees passed the written test, and 80 percent of the trainees passed the flight test, what percent of the trainees passed both tests? (1) 10 percent of the trainees did not pass either test. (2) 20 percent of the trainees passed only the flight test. DS27602.01

The figure above shows the dimensions of a square picture frame that was constructed using four identical pieces of frame as shown. If w is the width of each piece of the frame, what is the area of the front surface of each piece? (1) w = 3 inches (2) PQ = 18 − − √ 18 inches DS87602.01 Show Spoiler

If both x and y are nonzero numbers, what is the value of y/x? (1) x = 6 (2) y^2 = x^2

If b is the product of three consecutive positive integers c, c + 1, and c + 2, is b a multiple of 24 ? (1) b is a multiple of 3, (2) c is odd.

What is the area of a rectangular surface that has length x feet and width y feet ? (1) y is the reciprocal of x. (2) The perimeter of the rectangular surface is 5 feet.