Data Sufficiency

Is x between 0 and 1 ? (1) x^2 is less than x (2) x^3 is positive Show Spoiler DS17181

In the figure above, x, y, and z denote the lengths of the sides of a triangular flower bed bounded by three driveways. What is the perimeter of the flower bed ? (1) x = y = 30 feet. (2) k = 60 Show Spoiler

An employee is paid 1.5 times the regular hourly rate for each hour worked in excess of 40 hours per week, excluding Sunday, and 2 times the regular hourly rate for each hour worked on Sunday. How much was the employee paid last week? (1) The employee's regular hourly rate is $10. (2) Last week the employee worked a total of 54 hours but did not work more than 8 hours on any day.

If p, q, x, y, and z are different positive integers, which of the five integers is the median? (1) p + x < q (2) y < z

What is the area of rectangular region R? (1) Each diagonal of R has length 5. (2) The perimeter of R is 14.

A box contains only red chips, white chips, and blue chips. If a chip is randomly selected from the box, what is the probability that the chip will be either white or blue? (1) The probability that the chip will be blue is 1/5. (2) The probability that the chip will be red is 1/3.

If J, K, L, M, and N and positive integers in ascending order, what is the value of L? (1) The value of K is 3. (2) The value of M is 7.

At a certain state university last term, there were p students each of whom paid either the full tuition of x dollars or half the full tuition. What percent of the tuition paid by the p students last term was tuition from students who paid the full tuition? (1) Of the p students, 20 percent paid the full tuition. (2) The p students paid a total of $91.2 million for tuition last term.

Is the prime number p equal to 37? (1) p = n^2 + 1, where n is an integer. (2) p^2 is greater than 200.

Is the average (arithmetic mean) of x and y greater than 20? (1) The average (arithmetic mean) of 2x and 2y is 48. (2) x = 3y

Did Sally pay less than x dollars, including sales tax, for her bicycle? (1) The price Sally paid for the bicycle was (0.9)x dollars, excluding the 10 percent sales tax. (2) The price Sally paid for the bicycle was $170. excluding sales tax.

Is r > s ? (1) -r + s < 0 (2) r < | s | Show Spoiler

If n and k are greater than zero, is n/k an integer ? (1) n and k are both integers. (2) n^ 2 and k^2 are both integers

A certain employee is paid $6 per hour for an 8-hour workday. If the employee is paid 3/2 times this rate for time worked in excess of 8 hours during a single day, how many hours did the employee work today? (1) The employee was paid $18 more for hours worked today than for hours worked yesterday. (2) Yesterday the employee worked 8 hours.

In a certain coding scheme, each word is encoded by replacing each letter in the word with another letter. The same code is used for all words, so that the same letter replaces a given letter each time the given letter occurs. What code will result when the word TAME is encoded by this scheme? (1) When the word MAT is encoded, the result is DLX. (2) When the word TEA is encoded, the result is XRL.

The couple decide one day that they will definitely go to the beach the next evening if it is sunny without rain at the time they plan to go—and that they will definitely not go if such is not the case. The next morning, the hour-by-hour weather forecast says that in the evening, it will be sunny without rain. Will the couple go to the beach that evening? (1) It is raining on the morning and in the afternoon of the day of their planned beach outing. (2) The couple always believe that the weather forecast is likely to be accurate.

A certain car traveled from one town to another without stopping. What was the car’s average speed for the trip? (1) The car traveled the 90-mile trip in 2 hours. (2) The car traveled the first 40 miles of the trip in 1 hour.

If a, b, and c are integers, is the number 3(a + b) + c divisible by 3? (1) a + b is not divisible by 3. (2) c is divisible by 3.

If a bottle is to be selected at random from a certain collection of bottles, what is the probability that the bottle will be defective? (1) The ratio of the number of bottles in the collection that are defective to the number that are not defective is 3:500. (2) The collection contains 3,521 bottles.

The only contents of a parcel are 25 photographs and 30 negatives. What is the total weight, in ounces, of the parcel's contents? (1) The weight of each photograph is 3 times the weight of each negative. (2) The total weight of 1 of the photographs and 2 of the negatives is 1/3 ounce.