If 3x + 7 = 22, what is the value of 6x − 4?
Quantitative Reasoning
Question · Easy
Would you rather: marbles
Short
A car travels 240 miles in 4 hours. At this same average speed, how many miles will it travel in 7 hours?
Chapter 1: GMAT Exam Architecture & Strategic Foundations
1.1 GMAT Structure, Section Order, and the 205–805 Score Scale
Study guide
A store marks up an item's cost by 40% to set the retail price, then offers a 20% discount off the retail price. If the item's cost is $50, what is the final selling price?
Question · Medium
If the average (arithmetic mean) of five numbers is 12, and four of the numbers are 8, 10, 14, and 16, what is the fifth number?
A tank is filled by pipe A alone in 6 hours and by pipe B alone in 12 hours. How many hours does it take to fill the tank if both pipes work simultaneously?
If x² − 9 = 0, what are the possible values of x?
1.2 Question Bookmarking and the Review & Edit Feature Mechanics
A box contains 5 red marbles and 3 blue marbles. If two marbles are drawn at random without replacement, what is the probability that both are red?
The sum of three consecutive integers is 48. What is the largest of the three integers?
Company X had revenues of $2,400,000 last year and $3,000,000 this year. What is the percent increase in revenue?
If 2^(x+2) = 32, what is the value of x?
1.3 Test-Day Logistics, Pacing Architecture, and Score Reporting Policies
A worker earns $15 per hour for the first 40 hours in a week and $22.50 per hour (time-and-a-half) for each hour over 40. If the worker works 46 hours in one week, what are the total earnings?
If a rectangle has a perimeter of 56 cm and its length is 3 times its width, what is the area of the rectangle in square centimeters?
In a sequence, each term after the first is 3 more than twice the preceding term. If the first term is 2, what is the fourth term?
If |2x − 6| = 10, what are the possible values of x?
Chapter 2: Quantitative Reasoning — Arithmetic & Number Properties
2.1 Integers, Divisibility Rules, Prime Factorization, and LCM/GCD
A mixture of 60 liters contains milk and water in a ratio of 3:1. How many liters of water must be added to make the ratio 3:2?
Question · Hard
If p and q are positive integers and p/q = 0.6, which of the following could be the value of q?
Train A leaves City X at 9:00 AM traveling at 60 mph toward City Y. Train B leaves City Y at 9:00 AM traveling at 90 mph toward City X. If the cities are 300 miles apart, at what time do the trains meet?
If the product of two integers is 24 and their sum is 10, what is the larger integer?
2.2 Remainders, Even/Odd Parity, and Positive/Negative Sign Analysis
A 10% interest rate compounded annually doubles an investment in approximately how many years? (Use the Rule of 72.)
A retailer buys goods for $x and sells them for $y. If x = 80 and y = 96, what is the profit as a percentage of the cost?
If 5x − 2y = 20 and x + 2y = 16, what is the value of x?
How many 3-letter arrangements can be made from the letters of the word GMAT if no letter is repeated?
2.3 Exponents, Radicals, Roots, and Scientific Notation
If the price of a commodity rises by 25%, by what percentage must a consumer reduce consumption to keep total expenditure unchanged?
Read the passage: "A new study found that cities with higher average incomes tend to have lower rates of respiratory illness. The researchers conclude that wealth itself protects against respiratory disease." Which of the following most seriously weakens this conclusion?
Verbal Reasoning
Read the passage: "The Silk Road, a network of trade routes connecting China to the Mediterranean from roughly 200 BCE to 1450 CE, facilitated not only commerce in silk, spices, and precious metals but also the transmission of ideas, religions, and technologies. Buddhism spread westward and Islam moved eastward along these routes, while innovations such as papermaking and gunpowder traveled from China to Europe. The routes began declining after 1453 when the Ottoman Empire restricted access, and Portuguese sea routes eventually offered cheaper alternatives." The author's primary purpose in this passage is to:
Read the passage: "The growing reliance on algorithmic hiring tools has sparked debate among human-resource professionals. Proponents argue that algorithms eliminate unconscious bias by evaluating candidates solely on measurable qualifications. Critics counter that algorithms trained on historical hiring data simply automate existing biases, since historical selections themselves reflected bias." Which of the following best describes the relationship between the two viewpoints presented?
2.4 Absolute Value, Number Line Properties, and Estimation Techniques
Read the passage: "A regional airline reported that its on-time arrival rate improved from 72% in Q1 to 83% in Q2 after implementing a new boarding procedure. The airline's CEO attributes the improvement entirely to the new procedure." Which of the following, if true, most strongly supports the CEO's conclusion?
Read the passage: "Psychologists studying decision fatigue argue that people make poorer choices as the day progresses because mental resources become depleted. One study tracked the decisions of parole board judges throughout the day and found that prisoners appearing early in the day were far more likely to receive parole than those appearing later, even controlling for crime severity." The study of parole board judges is used in the passage to:
Read the argument: "Our company should switch from in-person performance reviews to anonymous peer reviews. Studies show that employees rate their managers more honestly when the reviews are anonymous, leading to more accurate performance assessments." Which of the following, if true, most seriously weakens the argument?
Read the passage: "The Amazon rainforest, often called the 'lungs of the Earth,' produces approximately 20% of the world's oxygen through photosynthesis. However, ecologists note this figure is misleading: rainforest ecosystems also consume roughly the same amount of oxygen through respiration by plants, animals, and decomposers. The net oxygen contribution of the Amazon is therefore close to zero. What the Amazon critically provides is carbon storage — an estimated 150–200 billion tons of carbon locked in its biomass." According to the passage, the 'lungs of the Earth' metaphor is misleading because:
Chapter 3: Quantitative Reasoning — Fractions, Decimals, Ratios & Percentages
3.1 Fractions, Decimals, and Real-Number Operations
Read the argument: "City planners argue that expanding bicycle lanes reduces overall traffic congestion. Their data show that traffic speeds increased on streets after bike lanes were added." The argument assumes which of the following?
Read the passage: "Early computers stored data using vacuum tubes, which were large, unreliable, and consumed enormous amounts of power. The invention of the transistor in 1947 by Bell Labs scientists Bardeen, Brattain, and Shockley fundamentally changed computing by enabling smaller, faster, and more energy-efficient devices. The subsequent development of integrated circuits in the late 1950s packed thousands of transistors onto a single chip, establishing the trajectory of exponential miniaturization that continues today." The passage suggests that the development of integrated circuits was significant primarily because it:
Read the argument: "All effective leaders share the quality of decisiveness. Since Maria consistently makes rapid, confident decisions, she must be an effective leader." The reasoning in this argument is flawed because:
Read the passage: "In the late 19th century, two competing theories explained the spread of infectious disease. The miasma theory held that illness arose from 'bad air' produced by decaying organic matter. Germ theory, championed by Pasteur and Koch, proposed that specific microorganisms caused specific diseases. Early public health measures — draining swamps, improving sewage, cleaning streets — were actually effective even under the miasma framework, because these interventions incidentally eliminated breeding grounds for disease vectors such as mosquitoes." The primary point the author makes about early public health measures is that:
3.2 Ratios, Proportions, and Scaling Relationships
Read the argument: "Nations with higher rates of internet access tend to have higher per-capita GDP. Therefore, increasing internet access in low-income countries will raise their GDP." Which of the following identifies the most significant flaw in this reasoning?
Read the passage: "Marine protected areas (MPAs) are zones where human activities such as fishing and drilling are restricted. A 2022 meta-analysis of 87 studies found that, on average, fish biomass inside MPAs is 670% higher than in comparable unprotected areas. Critics argue that MPAs simply displace fishing pressure to adjacent waters, creating 'spillover' rather than net conservation gains. Proponents counter that fish populations in MPAs can replenish surrounding areas through larval dispersal and adult migration, benefiting regional fisheries overall." According to the passage, the 'spillover' criticism and the proponent response differ primarily in their view of:
Read the passage: "A study compared two groups of university students: Group A studied for exams using traditional highlighting and rereading, while Group B used the 'retrieval practice' method (taking practice tests and recalling information from memory). Despite Group A spending 50% more total study time, Group B scored an average of 15 points higher on the final exam." Which of the following conclusions is best supported by the study results?
Read the argument: "The unemployment rate in Country X fell from 8% to 5% over three years. Since the government introduced a job-creation program at the start of this period, the program must have caused the decline." The argument would be most strengthened by which of the following?
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