Data Sufficiency

Each week a certain salesman is paid a fixed amount equal to $300,plusacommissionequalto5percentoftheamountofhissalesthatweekover$1,000. What is the total amount the salesman was paid last week? (1) The total amount the salesman was paid last week is equal to 10 percent of the amount of his sales last week. (2) The salesman's sales last week totaled $5,000.

A company makes and sells two products, P and Q. The costs per unit of making and selling P and Q are $8.00and$9.50, respectively, and the selling prices per unit of P and Q are $10.00and$13.00, respectively. In one month the company sold a total of 834 units of these products. Was the total profit on these items more than $2,000? (1) During the month, more units of P than units of Q were sold. (2) During the month, at least 100 units of Q were sold.

Max purchased a guitar for a total of $624,which consisted of the price of the guitar and the sales tax.Was the sales tax rate greater than 3 percent ? (1) The price of the guitar that Max purchased was less than $602. (2) The sales tax for the guitar that Max purchased was less than $30.

On a certain nonstop trip, Marta averaged x miles per hour for 2 hours and y miles per hour for the remaining 3 hours. What was her average speed, in miles per hour, for the entire trip? (1) 2x + 3y = 280 (2) y = x + 10

Of the 66 people in a certain auditorium, at most 6 people have their birthdays in any one given month. Does at least one person in the auditorium have a birthday in January? (1) More of the people in the auditorium have their birthday in February than in March. (2) Five of the people in the auditorium have their birthday in March.

A total of $60,000wasinvestedforoneyear.Partofthisamountearnedsimpleannualinterestattherateofxpercentperyear,andtherestearnedsimpleannualinterestattherateofypercentperyear.Ifthetotalinterestearnedbythe$60,000 for that year was $4,080, what is the value of x? (1) x = 3y/4 (2) The ratio of the amount that earned interest at the rate of x percent per year to the amount that earned interest at the rate of y percent per year was 3 to 2.

Guy's net income equals his gross income minus his deductions. By what percent did Guy's net income change on January 1, 1989, when both his gross income and his deductions increased? (1) Guy's gross income increased by 4 percent on January 1, 1989. (2) Guy's deductions increased by 15 percent on January 1, 1989.

The 10 students in a history class recently took an examination. What was the maximum score on the examination? (1) The mean of the scores was 75. (2) The standard deviation of the scores was 5.

If the ratio of the number of teachers to the number of students is the same in School District M and School District P, what is the ratio of the number of students in School District M to the number of students in School District P ? (1) There are 10,000 more students in School District M than there are in School District P. (2) The ratio of the number of teachers to the number of students in School District M is 1 to 20.

Each month, Jim receives a base salary plus a 10 percent commission on the price of each car he sells that month. If Jim sold 15 cars last month, what was the total amount of base salary and commissions that Jim received that month? (1) Last month, Jim's base salary was $3,000. (2) Last month, Jim sold 3 cars whose prices totaled $60,000and5carswhosepricestotaled$120,000.

A scientist recorded the number of eggs in each of 10 birds’ nests. What was the standard deviation of the numbers of eggs in the 10 nests? (1) The average (arithmetic mean) number of eggs for the 10 nests was 4. (2) Each of the 10 nests contained the same number of eggs.

Last school year, each of the 200 students at a certain high school attended the school for the entire year. If there were 8 cultural performances at the school during the last school year, what was the average (arithmetic mean) number of students attending each cultural performance? (1) Last school year, each student attended at least one cultural performance (2) Last school year, the average number of cultural performance attended per student was 4.

Jill has applied for a job with each of two different companies. What is the probability that she will get job offers from both companies? (1) The probability that she will get a job offer from neither company is 0.3 (2) The probability that she will get a job offer from exactly one of the two companies is 0.5 OG 2017 New Question

Candidates A, B, and C competed in an election. This election usually comprises two rounds. In the first round, all three candidates compete. A candidate qualifies for the second round only if he/she receives at least 20% of the votes cast in the first round. If two candidates receive less than 20% of the votes cast, the other candidate wins the election by default. If a candidate receives more than 60% of the votes in the first round, he/she wins the election without the second round. Was there a second round of election? (1) The votes received by Candidates A and B together is 82% of the total votes cast. (2) The votes received by Candidates C and B together is 42% of the total votes cast.

In City X last April, was the average (arithmetic mean) daily high temperature greater than the median daily high temperature? (1) In City X last April, the sum of the 30 daily high temperatures was 2,160°. (2) In City X last April, 60 percent of the daily high temperatures were less than the average daily high temperature.

Color X ink is created by blending red, blue, green, and yellow inks in the ratio 6:5:2:2. What is the number of liters of green ink that was used to create a certain batch of color X ink? (1) The amount of red ink used to create the batch is 2 liters more than the amount of blue ink used to create the batch. (2) The batch consists of 30 liters of color X ink. ID 08854

A conveyor belt moves bottles at a constant speed of 120 centimeters per second. If the conveyor belt moves a bottle from a loading dock to an unloading dock, is the distance that the conveyor belt moves the bottle less than 90 meters? (1) It takes the conveyor belt less than 1.2 minutes to move the bottle from the loading dock to the unloading dock. (2) It takes the conveyor belt more than 1.1 minutes to move the bottle from the loading dock to the unloading dock.

If S is a set of odd integers and 3 and –1 are in S, is –15 in S ? (1) 5 is in S. (2) Whenever two numbers are in S, their product is in S.

In the two-digit integers 3 □ ◻ and 2 △ △ ,the symbols □ ◻ and △ △ represent different digits, and the product (3 □ ◻ )(2 △ △ ) is equal to 864. What digit does □ ◻ represent ? (1) The sum of □ ◻ and △ △ is 10. (2) The product of □ ◻ and △ △ is 24

If x is a positive integer, then is x prime? (1) 3x + 1 is prime (2) 5x + 1 is prime