Data Sufficiency

How many of the employees of a certain company use both a tablet and an iphone? (1) 60 of the employees use a tablet. (2) 45 of the employees use an iphone.

What is the median number of employees assigned per project for the projects at Company Z? (1) 25 percent of the projects at Company Z have 4 or more employees assigned to each project. (2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project

In a product test of a common cold remedy, x percent of the patients tested experienced side effects from the use of the drug and y percent experienced relief of cold symptoms. What percent of the patients tested experienced both side effects and relief of cold symptoms? (1) Of the 1,000 patients tested, 15 percent experienced neither side effects nor relief of cold symptoms. (2) Of the patients tested, 30 percent experienced relief of cold symptoms without side effects.

If the positive integer n is added to each of the integers 69, 94, and 121, what is the value of n? (1) 69 + n and 94 + n are the squares of two consecutive integers (2) 94 + n and 121 + n are the squares of two consecutive integers

In a certain class, some students donated cans of food to a local food bank. What was the average (arithmetic mean) number of cans donated per student in the class? (1) The students donated a total of 56 cans of food. (2) The total number of cans donated was 40 greater than the total number of students in the class.

In each game of a certain tournament, a contestant either loses 3 points or gains 2 points. If Pat had 100 points at the beginning of the tournament, how many games did Pat play in the tournament? (1) At the end of the tournament, Pat had 104 points (2) Pat played fewer than 10 games

Kim and Sue each bought some roses and some daisies at the prices shown above. If Kim bought the same total number of roses and daisies as Sue,was the price of Kim's purchase of roses and daisies higher than the price of Sue's purchase of roses and daisies? (1) Kim bought twice as many daisies as roses (2) Kim bought 4 more roses than Sue bought

Robin invested a total of $12,000 in two investments, X and Y, so that the investments earned the same amount of simple annual interest. How many dollars did Robin invest in investment Y ? (1) Investment X paid 3 percent simple annual interest, and investment Y paid 6 percent simple annual interest. (2) Robin invested more than $1,000 in investment X.

Beginning in January of last year, Carl made deposits of $120intohisaccountonthe15thofeachmonthforseveralconsecutivemonthsandthenmadewithdrawalsof$50 from the account on the 15th of each of the remaining months of last year. There were no other transactions in the account last year. If the closing balance of Carl's account for May of last year was $2,600, what was the range of the monthly closing balances of Carl's account last year? (1) Last year the closing balance of Carl's account for April was less than $2,625. (2) Last year the closing balance of Carl's account for June was less than $2,675.

Benjamin is a salesman working for commission at a shoe store. For the first $1,000worthofsalesinagivenmonth,heearnsacommissionof2$1,000 in that month, he earns a commission of 4%. What is the total dollar value of sales made by Benjamin in the month of March? (1) Benjamin earned a commission of $120 in March. (2) Benjamin doubled the dollar value of his sales in March compared to his sales in February.

On Day X, was the forecast temperature 36°C at noon? (1) On Day X, the forecast temperature was 30°C at 9:00 a.m. and 40°C at 2:00 p.m. (2) On Day X, every half hour, the forecast temperature increased by 1°C.

Solomon leases space for his barber shop, and his landlord has recently increased the rent by 40%. Solomon wants to increase his monthly revenue to pay the increased rent without affecting his net income. By what percentage must he increase his revenue? (1) 20% of his previous monthly revenue was used to pay the rent before the landlord increased it. (2) The new rent is $50 more than the previous rent.

A certain plumber charges $92foreachjobcompletedin4hoursorlessand$23 per hour for each job completed in more than 4 hours. If it took the plumber a total of 7 hours to complete two separate jobs, what was the total amount charged by the plumber for the two jobs? (1) The plumber charged $92 for one of the two jobs. (2) The plumber charged $138 for one of the two jobs.

If a building has 6,000 square meters of floor space, how many offices are in the building? (1) Exactly 1/4 of the floor space is not used for offices. (2) There are exactly 20 executive offices and each of these occupies 3 times as much floor space as the average for all of the remaining offices.

If x and y are positive numbers, is x + 1 y + 1 > x y x + 1 y + 1 > x y ? (1) x > 1 (2) x < y

An alloy, Alloy K, is made by mixing certain quantities of iron and lead. The total weight of the alloy is 50 kg. What is the ratio of the weight of iron to the weight of lead in Alloy K? (1) If 4 kg of iron were to be replaced with 4 kg of lead, the percentage of lead, by weight, in Alloy K would become 40%. (2) The weight of iron per 100 cc is 0.7 times the weight of lead per 100 cc.

Machine R and machine S work at their respective constant rates. How much time does it take machine R, working alone, to complete a certain job? (1) The amount of time that it takes machine S, working alone, to complete the job is 3/4 the amount of time that it takes machine R, working alone, to complete the job. (2) Machine R and machine S, working together, take 12 minutes to complete the job.

Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t apples to Sylvia. If he kept the remaining apples, how many apples did he keep? (1) y ≥ 15 and t = 2 (2) y = 17

If a merchant purchased a sofa from a manufacturer for $400 and then sold it, what was the selling price of the sofa? (1) The selling price of the sofa was greater than 140 percent of the purchase price. (2) The merchant's gross profit from the purchase and sale of the sofa was 1/3 of the selling price.

At a certain clothing store, customers who buy 2 shirts pay the regular price for the first shirt and a discounted price for the second shirt. The store makes the same profit from the sale of 2 shirts that it makes from the sale of 1 shirt at the regular price. For a customer who buys 2 shirts, what is the discounted price of the second shirt? (1) The regular price of each of the 2 shirts the customer buys at the clothing store is $16. (2) The cost to the clothing store of each of the 2 shirts the customer buys is $12.