quantitative reasoning

Can you solve today’s coin-value problem from Prof. Denis Barengolts? Use the smallest prime number to determine how many dimes April has, then calculate the total value of all 14 coins. Study the first image, choose your answer, and then view the second image for the complete solution. Free...

Can you solve today’s coin-value problem from Prof. Denis Barengolts? Use the smallest prime number to determine how many dimes April has, then calculate the total value of all 14 coins. Study the first image, choose your answer, and then view the second image for the complete solution. Free...

DAT and OAT Math practice from DAT Destroyer. Can you determine how many pounds of blueberries are needed for the 56-pound mixture? Choose your answer before checking the second slide for the complete solution. Free DAT and OAT study resources: Official DAT Destroyer Resources | DAT Prep...

DAT and OAT Math practice from DAT Destroyer. Can you determine how many pounds of blueberries are needed for the 56-pound mixture? Choose your answer before checking the second slide for the complete solution. Free DAT and OAT study resources: Official DAT Destroyer Resources | DAT Prep...

Can you solve this pizza and calzone math word problem? Choose your answer before checking the solution on the second slide. The solution shows how to set up the equation step by step. Free DAT and OAT preparation resources from Dr. Jim Romano: Start Your DAT and OAT Preparation for Free |...

Can you solve this pizza and calzone math word problem? Choose your answer before checking the solution on the second slide. The solution shows how to set up the equation step by step. Free DAT and OAT preparation resources from Dr. Jim Romano: Start Your DAT and OAT Preparation for Free |...

A medical laboratory wants to increase its daily average number of patients screened. Can you determine how many patients must be screened on the seventh day? Choose your answer before checking the solution on the second slide. Free DAT and OAT preparation resources from Dr. Jim Romano...

A medical laboratory wants to increase its daily average number of patients screened. Can you determine how many patients must be screened on the seventh day? Choose your answer before checking the solution on the second slide. Free DAT and OAT preparation resources from Dr. Jim Romano...

A wood factory wants to increase its monthly production by 50%. Can you determine how many additional logs must be produced each workday? Choose your answer before checking the solution on the second slide. Free DAT and OAT preparation resources from Dr. Jim Romano: Start Your DAT and OAT...

A wood factory wants to increase its monthly production by 50%. Can you determine how many additional logs must be produced each workday? Choose your answer before checking the solution on the second slide. Free DAT and OAT preparation resources from Dr. Jim Romano: Start Your DAT and OAT...

Mixture and concentration problems are important topics for the DAT and OAT Quantitative Reasoning sections. In this video, Dr. Jim Romano demonstrates how to calculate percentages and concentrations when two different mixtures are combined or diluted. Watch the complete lesson: Free DAT...

Mixture and concentration problems are important topics for the DAT and OAT Quantitative Reasoning sections. In this video, Dr. Jim Romano demonstrates how to calculate percentages and concentrations when two different mixtures are combined or diluted. Watch the complete lesson: Free DAT...

Try the problem first, then check the second image for the complete solution. Free DAT & OAT Resources from Dr. Jim Romano: Start Your DAT and OAT Preparation for Free | Official Resources from Dr. Jim Romano DAT Destroyer & OAT Destroyer: DAT Destroyer & OAT Destroyer | Dr. Jim Romano |...

Can you solve this DAT/OAT Quantitative Reasoning problem? This problem combines complex numbers, radicals, and function evaluation. Pay close attention to what is inside the square root before substituting your value for x. Try the problem first, then check the second image for the...

Give the problem a try before looking at the solution. Can you solve this DAT/OAT Quantitative Reasoning problem? This permutation problem tests an important counting strategy: arranging objects when certain objects cannot be next to each other. We have three 5-carbon sugars (pentoses)...

Can you solve this DAT/OAT Quantitative Reasoning problem? This permutation problem tests an important counting strategy: arranging objects when certain objects cannot be next to each other. We have three 5-carbon sugars (pentoses) and five 6-carbon sugars (hexoses). How many different...

Can you solve this DAT/OAT Quantitative Reasoning problem? This permutation question tests one of the most important counting strategies on the DAT and OAT. Try solving it before swiping to the second slide for the complete solution. 📘 Join the Official DAT Destroyer Study Group on...

Can you solve this DAT/OAT Quantitative Reasoning problem? This permutation question tests one of the most important counting strategies on the DAT and OAT. Try solving it before swiping to the second slide for the complete solution. 📘 Join the Official DAT Destroyer Study Group on...

Can you solve this DAT Quantitative Reasoning problem? This question tests your understanding of cube surface area, square geometry, and ratios. Try solving it before looking at the solution on the second slide. For more free DAT and OAT study resources: Start Your DAT and OAT Preparation...

Can you solve this DAT Quantitative Reasoning problem? This question tests your understanding of cube surface area, square geometry, and ratios. Try solving it before looking at the solution on the second slide. For more free DAT and OAT study resources: Start Your DAT and OAT Preparation...

Can you solve this DAT/OAT quantitative reasoning problem before looking at the answer? This problem tests your ability to apply percentages, taxes, and algebra to a practical real-world situation. Work through the problem first, then check your solution on the second slide. Free DAT & OAT...

Can you solve this DAT/OAT quantitative reasoning problem before looking at the answer? This problem tests your ability to apply percentages, taxes, and algebra to a practical real-world situation. Work through the problem first, then check your solution on the second slide. Free DAT & OAT...

Every class is an opportunity to strengthen concepts, ask questions, and build the confidence needed for test day. At DAT Destroyer, students don't just memorize answers—they learn how to think through challenging Biology, General Chemistry, Organic Chemistry, and Quantitative Reasoning...

Every class is an opportunity to strengthen concepts, ask questions, and build the confidence needed for test day. At DAT Destroyer, students don't just memorize answers—they learn how to think through challenging Biology, General Chemistry, Organic Chemistry, and Quantitative Reasoning...

Here is today's DAT/OAT Quantitative Reasoning challenge. An analog clock has 12 hour markings. Based on the time intervals shown, how many total hour markings does the minute hand pass? Consistent practice with challenging problems is one of the best ways to improve your Math score and...

Here is today's DAT/OAT Quantitative Reasoning challenge. An analog clock has 12 hour markings. Based on the time intervals shown, how many total hour markings does the minute hand pass? Consistent practice with challenging problems is one of the best ways to improve your Math score and...

n you determine the equation of the green graph? This problem tests your understanding of absolute value graph transformations, including reflection across the x-axis, horizontal shifts, vertical shifts, and identifying the vertex. Try solving it before checking the solution. Free DAT and...

Understanding graph transformations is essential for success on the DAT and OAT Quantitative Reasoning section. In this Math Destroyer problem, you'll identify the equation of an absolute value function by analyzing: Reflection across the x-axis Horizontal translation Vertical translation...

Many DAT and OAT students confuse simple interest with compound interest, especially under timed exam conditions. In this lesson, Dr. Jim Romano explains the key differences, the formulas you need to know, and how to solve these problems efficiently on test day. 📹 Video: Free DAT & OAT...

Understanding the difference between simple interest and compound interest is an important skill for the DAT and OAT Quantitative Reasoning section. In this video, Dr. Jim Romano walks through the concepts step by step and shows how to recognize and solve these problems quickly on test day...

Congratulations to another outstanding OAT student! We're grateful that this student allowed us to share their experience anonymously to help encourage future optometry students. OAT Scores Academic Average: 370 (95th percentile) Total Science: 360 (88th percentile) Biology: 400 (99th...

Can you solve this DAT Quantitative Reasoning question before checking the answer? This problem tests your understanding of exponents, absolute value, and logical reasoning. A useful DAT strategy is to plug in numbers that satisfy the equation. For example: 82=648^2 = 6482=64 43=644^3 =...

Enrollment is now open for our Fall 2026 DAT and OAT Preparation Classes. For more than 35 years, Dr. Jim Romano has helped thousands of students prepare for the DAT and OAT through comprehensive study materials and live instruction. Our program features: Live online and in-person classes...

Can you solve this DAT Quantitative Reasoning problem? This practice problem tests your understanding of least common multiples (LCM) and number theory—concepts that frequently appear on the DAT. Recognizing that a number divisible by both 3 and 5 must be a multiple of 15 makes this problem...

Can you solve this DAT Quantitative Reasoning problem? A, B, C, and D are consecutive odd integers greater than 0, such that A < B < C < D. Which of the following must be true? This problem tests your understanding of number properties and logical reasoning—skills that are frequently tested...

Think you know DAT math? Try solving this quantitative reasoning problem before looking at the answer. This question combines exponential decay, exponential growth, and ratios—three concepts that frequently appear on the DAT. Post your answer before checking the solution! Free DAT & OAT...

Probability questions are among the highest-yield topics on both the DAT and OAT Quantitative Reasoning (QR) sections. In this video, Professor Blois demonstrates a step-by-step approach to solving a probability question and explains strategies you can apply on test day. 🎥 Watch the video...

Relationship expressions are a common DAT math concept and can often be solved by choosing values that satisfy the given conditions rather than solving for the variables directly. Work through the problem before viewing the second slide, then let us know how you solved it or ask any questions...

Understanding the difference between combinations and permutations is essential for success on the DAT Quantitative Reasoning section. In this video, Professor Blois explains how to determine when order matters, when it does not, and how to avoid common probability mistakes students make on...

Many DAT students lose valuable points on the Quantitative Reasoning (QR) section because they memorize formulas instead of understanding the underlying concepts. In this video, Professor Blois walks through a high-yield probability question and demonstrates a systematic approach to solving DAT...