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Data Sufficiency
Data Sufficiency questions do not ask you to solve — they ask whether you could solve. Each question gives a prompt and two statements, and the five answer choices are always the same: statement 1 alone, statement 2 alone, both together, either alone, or neither. That fixed structure is learnable, and it is where most test takers leak points early on. Practice the AD/BCE elimination habit, resist the urge to compute all the way to a value, and watch for the classic traps: statements that smuggle in hidden constraints, and "obviously sufficient" statements that fail on negatives, zero, or fractions.
Official GMAT Data Sufficiency questions — decide whether the statements are enough to answer.·Show:203050
605-655 (Medium)
A box contains exactly 40 bottles, each of which contains only one of three types of soda—orange, lemon, and ginger. What is the probability of randomly selecting a ginger soda, without any replacement in the box, on each of 3 consecutive attempts?
(1) The number of orange sodas is 5 more than the number of ginger sodas.
(2) The number of ginger sodas is 10 more than the number of lemon sodas.
605-655 (Medium)
Workers A, B, and C, working at their individual constant rates, can work together and complete a piece of work in 6 days. How long will it take for B and C alone to complete the work?
(1) A is twice as efficient as B. B is three times as efficient as C.
(2) The time taken by A to do 9 units of work is the same as the time taken by B and C together to do 6 units of work.
555-605 (Medium)
A report consisting of 2,600 words is divided into 23 paragraphs. A 2-paragraph preface is then added to the report. Is the average (arithmetic mean) number of words per paragraph for all 25 paragraphs less than 120 ?
(1) Each paragraph of the preface has more than 100 words.
(2) Each paragraph of the preface has fewer than 150 words.
605-655 (Medium)
The students in College X must take two, and no more, of these five subjects: computing, electronics, mechanics, architecture, and psychology. Students who take computing cannot take psychology. Students who take electronics cannot take architecture. Students who take mechanics cannot take electronics. Is Student G, a student at College X, taking psychology?
(1) Student G is taking architecture as one of her two subjects.
(2) Student G is taking neither electronics nor computing.
Sub 505 (Easy)
In College X the number of students enrolled in both a chemistry course and a biology course is how much less than the number of students enrolled in neither?
(1) In College X there are 60 students enrolled in a chemistry course.
(2) In College X there are 85 students enrolled in a biology course.
605-655 (Medium)
A candy shop owner must mix three types of sweeteners—A, B, and C—in a certain ratio to get the desired mixture in his candies. What is the ratio of the weights of Sweetener A to Sweetener B to Sweetener C in the final mixture?
(1) Sweeteners A, B, and C cost $40, $50, and $60 per pound. The average (arithmetic mean) cost of the final mixture is $50 per pound.
(2) In the final mixture, the average (arithmetic mean) price of Sweeteners A and B together is $45, and the average (arithmetic mean) price of Sweeteners B and C together is $55.
505-555 (Easy)
Three machines, K, M, and P, working simultaneously and independently at their respective constant rates, can complete a certain task in 24 minutes. How long does it take Machine K, working alone at its constant rate, to complete the task?
(1) Machines M and P, working simultaneously and independently at their respective constant rates, can complete the task in 36 minutes.
(2) Machines K and P, working simultaneously and independently at their respective constant rates, can complete the task in 48 minutes.
605-655 (Medium)
A movie theater increased the ticket price for evening shows by 10% and decreased the ticket price for morning shows by 40%. The average number of tickets sold for the morning shows increased by 30%, and the average number of tickets sold for the evening shows decreased by 5%. What was the percentage change in total revenue?
(1) Prior to the changes in ticket prices, the ticket prices for the morning shows and the evening shows were the same.
(2) Prior to the changes in ticket prices, the ratio between the number of tickets sold for the morning shows and the evening shows was 5:8.
505-555 (Easy)
A clothing store acquired an item at a cost of x dollars and sold the item for y dollars. The store's gross profit from the item was what percent of its cost for the item?
(1) y - x = 20
(2) y/x = 5/4
605-655 (Medium)
George is an employee at a firm. For each day that he is absent, he forfeits 4% of his monthly salary. For every hour of overtime he does, he receives 1% added to his monthly salary. His salary reduced for the month of June by 5%. How many hours of overtime did George do in that month?
(1) George was absent for 3 days in the month of June.
(2) George received 7% of his monthly salary for doing overtime in the month of June.
505-555 (Easy)
The selling price of an article is equal to the cost of the article plus the markup. The markup on a certain television set is what percent of the selling price?
(1) The markup on the television set is 25 percent of the cost.
(2) The selling price of the television set is $250.
655-705 (Hard)
Did the population of Town C increase by at least 100 percent from the year 2000 to the year 2010?
(1) The population of Town C in 2000 was 32 of the population in 2005.
(2) The population of Town C increased by a greater number of people from 2005 to 2010 than it did from 2000 to 2005.
Sub 505 (Easy)
What is the tenths digit in the decimal representation of a certain number?
(1) The number is less than 1/3.
(2) The number is greater than 1/4.
655-705 (Hard)
In a survey of 200 college graduates, 30% said they had received student loans during their college careers, and 40% said they had received scholarships. What percent of those surveyed said that they had received neither student loans nor scholarships during their college careers?
(1) 25% of those surveyed said that they had received scholarships but no loans.
(2) 50% of those surveyed who said that they had received loans also said that they had received scholarships.
Sub 505 (Easy)
d = 0.43t7 If t denotes the thousandths digit in the decimal representation of d above, what digit is t?
(1) If d were rounded to the nearest hundredth, the result would be 0.44.
(2) If d were rounded to the nearest thousandth, the result would be 0.436.
655-705 (Hard)
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 $5 less than the regular store price; at Store M, the discount price is $6 less than the regular price.
655-705 (Hard)
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 51.
(2) The probability that the chip will be red is 31.
705-805 (Hard)
A department manager distributed a number of pens, pencils, and pads among the staff in the department, with each staff member receiving x pens, y pencils, and z pads. How many staff members were in the department?
(1) The numbers of pens, pencils, and pads that each staff member received were in the ratio 2:3:4, respectively.
(2) The manager distributed a total of 18 pens, 27 pencils, and 36 pads.
655-705 (Hard)
Did the sum of the prices of three shirts exceed $60?
(1) The price of the most expensive of the shirts exceeded $30.
(2) The price of the least expensive of the shirts exceeded $20.
705-805 (Hard)
In triangle ABC, point X is the midpoint of side AC and point Y is the midpoint of side BC. If point R is the midpoint of line segment XC and if point S is the midpoint of line segment YC, what is the area of triangular region RCS ?
(1) The area of triangular region ABX is 32.
(2) The length of one of the altitudes of triangle ABC is 8.