Data Sufficiency

If L1, L2 and L3 are lines in a plane, is L1 perpendicular to L3? (1) L1 is perpendicular to L2 (2) L2 is perpendicular to L3

What is the value of x − 1 ? (1) x + 1 = 3 (2) x − 1 < 3

In a refinery, the capacity of oil tank A is 70 percent of the capacity of oil tank B. How many more gallons of oil are in tank A than in tank B? (1) Tank A is 90 percent full; tank B is 50 percent full (2) When full, tank A contains 50,000 gallons of oil

In a certain store, item X sells for 10 percent less than item Y. What is the ratio of the store’s revenue from the sales of item X to that from the sales of item Y? (1) The store sells 20 percent more units of item Y than of item X. (2) The store’s revenue from the sales of item X is $6,000andfromthesalesofitemYis$8,000.

If x = 2y, what is the value of xy ? (1) x > Y (2) 3x - 2y = 14

In rectangular region PQRS above, T is a point on side PS. If PS = 4, what is the area of region PQRS? (1) Triangle QTR is equilateral. (2) Segments PT and TS have equal length.

Are there exactly 3 distinct symbols used to create the code words in language Q? (1) The set of all code words in language Q is the set of all possible distinct horizontal arrangements of one or more symbols, with no repetition. (2) There are exactly 15 code words in language Q

What is the value of the two-digit number x? (1) The sum of the two digits is 4. (2) The difference between the two digits is 2.

A rectangle is defined to be "silver" if and only if the ratio of its length to its width is 2 to 1. If rectangle S is silver, is rectangle R silver? (1) R has the same area as S (2) The ratio of one side of R to one side of S is 2 to 1.

How many students are enrolled in the Groveville Public Schools? (1) There are 30 students per classroom in the Groveville Public Schools. (2) The student-teacher ratio is 20 to 1 in the Groveville Public Schools

Each M-type unit will increase the base memory capacity of a certain computer by 3 megabytes. What is the base memory capacity, in megabytes, of the computer? (1) 2 M-type memory units will increase the computer’s base memory by 300 percent. (2) The memory capacity of the computer after 2 M-type memory units are added to the base memory capacity is 1.6 times the memory capacity after 1 M-type memory unit is added to the base memory capacity.

Exactly how many bonds does Bob have? (1) Of Bob’s bonds, exactly 21 are worth at least $5,000 each (2) Of Bob’s bonds, exactly 65 percent are worth less than $5,000 each

What is the value of x^2 - y^2? (1) x + y = 2x (2) x - y = 0

If x is an integer, what is the value of x ? (1) 1 5 1 5 < 1 ( x + 1 ) 1 ( x + 1 ) < 1 2 1 2 (2) ( x − 3 ) ( x − 4 ) ( x − 3 ) ( x − 4 ) = 0

What is the value of x^2 - y^2? (1) x + y = 2x (2) x + y = 0

If x y ≠ 0 x y ≠ 0 , what is the value of ( x 4 * y 2 − ( x y ) 2 ) ( x 3 * y 2 ) ( x 4 * y 2 − ( x y ) 2 ) ( x 3 * y 2 ) (1) x = 2 (2) y = 8 (1) x = 2 (2) y = 8

Does x = 2? (1) x is a number such that x^2 – 3x + 2 = 0. (2) x is a number such that x^2 – x – 2 = 0.

If tank X contains only gasoline, how many kiloliters of gasoline are in tank X. (1) If 1/2 of the gasoline in tank X were pumped out, the tank would be fillef to 1/3 of its capacity. (2) If .75 kiloliter of gasoline were pumped into tank X, it would be filled to capacity. (1) If 1/2 of the gasoline in tank X were pumped out, the tank would be fillef to 1/3 of its capacity. (2) If .75 kiloliter of gasoline were pumped into tank X, it would be filled to capacity.

If n is a positive integer, are n and 1 the only positive divisors of n? (1) n is less than 14. (2) If n is doubled, the result is less than 27

In ΔPQR above is PQ > RP? (1) x = y (2) y = z