{"id":15923,"date":"2024-09-01T23:58:54","date_gmt":"2024-09-01T18:28:54","guid":{"rendered":"https:\/\/ambitio.club\/blog\/?p=15923"},"modified":"2025-06-02T16:00:36","modified_gmt":"2025-06-02T10:30:36","slug":"frequently-asked-gre-math-questions","status":"publish","type":"post","link":"https:\/\/ambitio.club\/blog\/frequently-asked-gre-math-questions\/","title":{"rendered":"15 Frequently Asked GRE Math Questions with Explanations for Indian students"},"content":{"rendered":"\n<div class=\"wp-block-group key-takeaways is-layout-constrained wp-block-group-is-layout-constrained\">\n<h3 class=\"wp-block-heading\">Key Takeaways<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Frequently asked GRE math questions often mislead students with tricky wording, understanding the question is half the battle.<\/li>\n\n\n\n<li>Strategic thinking and time management matter more than just memorizing formulas for the GRE quant section.<\/li>\n\n\n\n<li>Focused practice with real GRE-style problems and clear explanations helps Indian students improve scores faster.<\/li>\n<\/ul>\n<\/div>\n\n\n\n<p>Did you know over 70% of Indian students struggle with the frequently asked <a href=\"https:\/\/ambitio.club\/exams\/gre\/\">GRE<\/a> math questions in practice tests, not because they don\u2019t study, but because they don\u2019t recognize\u00a0how questions trick them? Most practice questions with answers aren\u2019t built to reflect the real GRE quant section.<\/p>\n\n\n\n<p>That\u2019s the harsh truth. But the fix? Learn how to&nbsp;compare the two, find that x, and satisfy the equation, not just solve it. This list unpacks 15 difficult GRE math problems with detailed explanations to help students improve fast.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">What to Expect in GRE Math Practice Questions?<\/h2>\n\n\n\n<p>Indian students often find the <a href=\"https:\/\/ambitio.club\/blog\/gre-exam\/\">GRE exam<\/a> deceptively tricky. You\u2019ll face frequently asked GRE math questions like \u201cstore sold twice the number\u201d or \u201cask you to compare,\u201d where the correct answer hides behind clever answer choices. It\u2019s not just about <a href=\"https:\/\/alexandertutoring.com\/math-physics-resources\/study-tips\/how-to-memorize-math-formulas\/\" target=\"_blank\" rel=\"noopener\">formulas<\/a>, it\u2019s about logic and time.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"536\" src=\"https:\/\/ambitio.club\/blog\/wp-content\/uploads\/2024\/09\/frequently-asked-gre-math-questions-1-1024x536.png\" alt=\"frequently asked gre math questions\" class=\"wp-image-44738\" style=\"aspect-ratio:16\/9;object-fit:cover\" title=\"\" srcset=\"https:\/\/ambitio.club\/blog\/wp-content\/uploads\/2024\/09\/frequently-asked-gre-math-questions-1-1024x536.png 1024w, https:\/\/ambitio.club\/blog\/wp-content\/uploads\/2024\/09\/frequently-asked-gre-math-questions-1-300x157.png 300w, https:\/\/ambitio.club\/blog\/wp-content\/uploads\/2024\/09\/frequently-asked-gre-math-questions-1-768x402.png 768w, https:\/\/ambitio.club\/blog\/wp-content\/uploads\/2024\/09\/frequently-asked-gre-math-questions-1.png 1080w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p>Expect types of questions involving area of a triangle, high temperature for x days, or whether quantity B is not always greater. Use free GRE practice questions, sample questions, <a href=\"https:\/\/ambitio.club\/blog\/gre-study-materials\/\">GRE study materials<\/a>, and <a href=\"https:\/\/ambitio.club\/blog\/gre-prep\/\">GRE prep<\/a> course materials to target real exam patterns. To truly improve your <a href=\"https:\/\/ambitio.club\/blog\/gre-score-card\/\">GRE score card<\/a>, practice the 15 hardest GRE math questions with detailed explanations and <a href=\"https:\/\/ambitio.club\/blog\/ace-the-gre\/\">ace the GRE<\/a> exam<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Expert&#8217;s Tips To Answer GRE Math Questions?<\/h2>\n\n\n\n<p>The <a href=\"https:\/\/ambitio.club\/blog\/gre-quantitative\/\">quantitative reasoning section of the GRE <\/a>is a true test of your problem-solving abilities and mathematical prowess. With a wide range of question types, from data interpretation to quantitative comparison, it&#8217;s essential to be prepared with a well-rounded skillset and a calm, focused mindset.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"536\" src=\"https:\/\/ambitio.club\/blog\/wp-content\/uploads\/2024\/09\/frequently-asked-gre-math-questions-2-1024x536.png\" alt=\"frequently asked gre math questions\" class=\"wp-image-44739\" style=\"aspect-ratio:16\/9;object-fit:cover\" title=\"\" srcset=\"https:\/\/ambitio.club\/blog\/wp-content\/uploads\/2024\/09\/frequently-asked-gre-math-questions-2-1024x536.png 1024w, https:\/\/ambitio.club\/blog\/wp-content\/uploads\/2024\/09\/frequently-asked-gre-math-questions-2-300x157.png 300w, https:\/\/ambitio.club\/blog\/wp-content\/uploads\/2024\/09\/frequently-asked-gre-math-questions-2-768x402.png 768w, https:\/\/ambitio.club\/blog\/wp-content\/uploads\/2024\/09\/frequently-asked-gre-math-questions-2.png 1080w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p>Now, let&#8217;s explore some expert <a href=\"https:\/\/ambitio.club\/blog\/gre-quant-tips\/\">GRE quant tips<\/a> to help you conquer the GRE math questions:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Strengthen Your Fundamentals&nbsp;<\/h3>\n\n\n\n<p>Ensure you have a solid grasp of the foundational mathematical concepts covered on the GRE, including arithmetic, algebra, geometry, and data analysis. Revisiting these basics can help you approach questions with confidence and clarity.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Practice with Authentic GRE Questions<\/h3>\n\n\n\n<p>Incorporate official GRE practice questions and tests into your preparation routine. These resources will familiarize you with the unique phrasing, format, and difficulty level of the actual GRE questions. It will help you develop the necessary critical thinking and problem-solving skills.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Develop a Strategic Approach<\/h3>\n\n\n\n<p>Instead of relying solely on memorization, cultivate a strategic mindset. Learn to identify the core concepts being tested in each question and apply relevant problem-solving techniques, such as plugging in values, working backwards, or visualizing the problem.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Manage Your Time Effectively<\/h3>\n\n\n\n<p>Time management skills are crucial in the GRE. Practice pacing yourself and learn to identify questions that may require more time, allowing you to prioritize and allocate your time accordingly during the actual test.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Check Your Work<\/h3>\n\n\n\n<p>While working under time pressure, it&#8217;s easy to make careless mistakes. Develop a habit of reviewing your work, double-checking <a href=\"https:\/\/ambitio.club\/blog\/gre-calculator\/\">GRE calculations<\/a>, and ensuring your answer aligns with the question being asked.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Stay Calm and Focused<\/h3>\n\n\n\n<p>The GRE can be mentally taxing, but maintaining a positive mindset and staying focused is essential. Take breaks when needed, and remember to breathe deeply and stay centred during the test.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">5 GRE Multiple-Choice Questions<\/h2>\n\n\n\n<p>If you&#8217;re an Indian student getting ready for the GRE, you already know the math section isn\u2019t just about calculations, it\u2019s about strategy. Whether you\u2019re solving problems like&nbsp;store sold twice as many or understanding 525 is 10.5%, these frequently asked GRE math questions appear in different disguises. The more you solve, the better you spot patterns, especially when you take a GRE practice test or prepare for graduate schools.<\/p>\n\n\n\n<p>Below are 5 GRE multiple-choice questions with explanations that mirror real exam traps. These are the kinds of questions you\u2019ll likely encounter during the online GRE, so use this as part of your GRE preparation.<\/p>\n\n\n\n<div class=\"wp-block-group is-layout-constrained wp-block-group-is-layout-constrained\">\n<p><strong>1. A store sold 200 units in March. In April, it sold three times the number sold in March. How many were sold in March and April combined?<\/strong><\/p>\n\n\n\n<p>A. 400<br>B. 600<br>C. 800<br>D. 900<br>E. 1,000<\/p>\n\n\n\n<p><strong>Correct Answer: B. 800<\/strong><br><strong>Explanation:<\/strong><br>March = 200 units<br>April = 3 \u00d7 200 = 600 units<br>Combined = 200 + 600 = 800 units<br>(This is a classic \u201cstore sell in March\u201d problem with ratio traps\u2014watch out.)<\/p>\n\n\n\n<p><strong>2. The sum of the high temperatures for&nbsp;x days is 70 degrees. If an additional day with a high of 80 is added, what is the new average?<\/strong><\/p>\n\n\n\n<p>A. 70<br>B. 72<br>C. 75<br>D. 80<br>E. Cannot be determined<\/p>\n\n\n\n<p><strong>Correct Answer: E. Cannot be determined<\/strong><br><strong>Explanation:<\/strong><br>We only know the sum (not average) is 70, and we don\u2019t know x. Without knowing x, we can\u2019t compute the new average.<br>(These types of \u201cx days is 70 degrees\u201d questions might look simple but require careful reasoning.)<\/p>\n\n\n\n<p><strong>3. A salesperson earns a salary of $525 plus a commission of 10.5% on all sales. If their total earnings were $1,050, what were their total sales?<\/strong><\/p>\n\n\n\n<p>A. $5,000<br>B. $6,000<br>C. $7,000<br>D. $7,500<br>E. $8,000<\/p>\n\n\n\n<p><strong>Correct Answer: D. $7,500<\/strong><br><strong>Explanation:<\/strong><br>Let x = total sales.<br>525 + 10.5% of x = 1050 \u2192 525 + 0.105x = 1050<br>Dividing both sides:<br>0.105x = 525 \u2192 x = $7,500<br>(Perfect for those working through answered questions on commission and base pay.)<\/p>\n\n\n\n<p><strong>4. If 300 units were sold during those two months, and April combined was 500, how many units were sold in March?<\/strong><\/p>\n\n\n\n<p>A. 100<br>B. 200<br>C. 300<br>D. 400<br>E. Cannot be determined<\/p>\n\n\n\n<p><strong>Correct Answer: E. Cannot be determined<\/strong><br><strong>Explanation:<\/strong><br>The data is inconsistent: if April combined was 500 but sold during those two months is 300, there\u2019s a contradiction.<br>(These <a href=\"https:\/\/ambitio.club\/blog\/gre-questions\/\">GRE questions<\/a> might test data sufficiency without saying so.)<\/p>\n\n\n\n<p><strong>5. In a recent dog show, 5 breeds were shown, each with 4 different dogs. If a winner must be selected from each breed, how many combinations are possible?<\/strong><\/p>\n\n\n\n<p>A. 5<br>B. 10<br>C. 20<br>D. 625<br>E. 1024<\/p>\n\n\n\n<p><strong>Correct Answer: E. 1024<\/strong><br><strong>Explanation:<\/strong><br>Each breed: 4 choices<br>Total combinations: 4^5 = 1024<br>(These \u201c5 x 4\u201d styled questions are great to test logic under pressure.)<\/p>\n<\/div>\n\n\n\n<p>Whether it\u2019s substituting this information into a formula or finding the trap in \u201cquantity B is not always greater,\u201d mastering these problems helps Indian students score higher. Don\u2019t just skim\u2014test with us, try something less obvious, and always look at 15 hard examples to prepare well.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">5 GRE Quantitative Comparison Questions<\/h2>\n\n\n\n<p>Practicing <a href=\"https:\/\/ambitio.club\/blog\/gre-quantitative\/\">GRE quantitative<\/a> comparison questions is invaluable for your preparation. These questions challenge your ability to analyse and compare two quantities, a skill that is essential for success on the quantitative reasoning section.<\/p>\n\n\n\n\n\n<p><\/p>\n\n\n\n<p>Here are 5 mostly asked GRE quantitative practice questions:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">If x and y are positive integers, is x^2 &gt; y^3<\/h3>\n\n\n\n<div class=\"wp-block-group has-background is-layout-constrained wp-block-group-is-layout-constrained\" style=\"background-color:#ffdf9e\">\n<p>To determine if x^2 &gt; y^3 for positive integers x and y, we need to consider different cases:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>If x = 1, then x^2 = 1. For any positive y, y^3 &gt; 1, so x^2 is not greater than y^3.<\/li>\n\n\n\n<li>If y = 1, then y^3 = 1. For any x &gt; 1, x^2 &gt; 1, so x^2 is greater than y^3.<\/li>\n\n\n\n<li>If both x and y are greater than 1, the cube function (y^3) grows faster than the square function (x^2). As x and y increase, y^3 will eventually become greater than x^2.<\/li>\n<\/ol>\n\n\n\n<p>Therefore, without specific values of x and y, the relationship between x^2 and y^3 cannot be determined for all positive integers x and y. It depends on the values assigned to x and y.<\/p>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\">If a and b are integers, is a^2 + b^2 &gt; 2ab?<a href=\"https:\/\/www.gchq.gov.uk\/section\/news\/puzzles\" target=\"_blank\" rel=\"noreferrer noopener\"><\/a><\/h3>\n\n\n\n<div class=\"wp-block-group has-background is-layout-constrained wp-block-group-is-layout-constrained\" style=\"background-color:#ffdf9e\">\n<p>To determine if a^2 + b^2 &gt; 2ab for integers a and b, we can consider the following cases:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>If a = b = 0, then a^2 + b^2 = 0 and 2ab = 0. Therefore, a^2 + b^2 is not greater than 2ab.<\/li>\n\n\n\n<li>If a = 0 and b \u2260 0 (or b = 0 and a \u2260 0), then a^2 + b^2 = b^2 (or a^2) and 2ab = 0. In this case, a^2 + b^2 is greater than 2ab.<\/li>\n\n\n\n<li>If a and b are both non-zero, then a^2 + b^2 &gt; 2ab because (a + b)^2 = a^2 + 2ab + b^2 &gt; a^2 + b^2. This means that a^2 + b^2 is always greater than 2ab when a and b are non-zero integers.<\/li>\n<\/ol>\n\n\n\n<p>Therefore, for integers a and b, a^2 + b^2 &gt; 2ab is true, except when a = b = 0, in which case a^2 + b^2 = 2ab.<\/p>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\">If x and y are positive integers, is x + y &gt; xy?<a href=\"https:\/\/www.gchq.gov.uk\/section\/news\/puzzles\" target=\"_blank\" rel=\"noreferrer noopener\"><\/a><\/h3>\n\n\n\n<div class=\"wp-block-group has-background is-layout-constrained wp-block-group-is-layout-constrained\" style=\"background-color:#ffdf9e\">\n<p>To determine if x + y &gt; xy for positive integers x and y, we can consider the following cases:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>If x = 1 or y = 1, then xy = x or xy = y, respectively. In both cases, x + y is always greater than xy.<\/li>\n\n\n\n<li>If both x and y are greater than 1, we can analyze the inequality by substituting some values:\n<ul class=\"wp-block-list\">\n<li>For x = 2 and y = 2, we have 2 + 2 = 4 &gt; 2 \u00d7 2 = 4<\/li>\n\n\n\n<li>For x = 3 and y = 3, we have 3 + 3 = 6 &gt; 3 \u00d7 3 = 9<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p>In general, for x, y &gt; 1, the product xy will be greater than the sum x + y.<\/p>\n\n\n\n<p>Therefore, for positive integers x and y, the inequality x + y &gt; xy is true only when at least one of x or y is equal to 1. If both x and y are greater than 1, then x + y is not greater than xy.<\/p>\n\n\n\n<p>In summary, x + y &gt; xy is true if x = 1 or y = 1, but false if both x and y are greater than 1.<\/p>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\">If a and b are positive integers, is a^2 + b^2 &gt; 2ab?<\/h3>\n\n\n\n<div class=\"wp-block-group has-background is-layout-constrained wp-block-group-is-layout-constrained\" style=\"background-color:#ffdf9e\">\n<p>To determine if a^2 + b^2 &gt; 2ab for positive integers a and b, we can consider the following cases:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>If a = b = 1, then a^2 + b^2 = 2 and 2ab = 2. So, a^2 + b^2 is not greater than 2ab.<\/li>\n\n\n\n<li>If either a or b is 1, say a = 1 and b &gt; 1, then a^2 + b^2 = 1 + b^2 and 2ab = 2b. Since b^2 &gt; 2b for b &gt; 1, we have a^2 + b^2 &gt; 2ab.<\/li>\n\n\n\n<li>If both a and b are greater than 1, then (a + b)^2 = a^2 + 2ab + b^2 &gt; a^2 + b^2. This means a^2 + b^2 &gt; 2ab.<\/li>\n<\/ol>\n\n\n\n<p>Therefore, for positive integers a and b, the inequality a^2 + b^2 &gt; 2ab holds true except when a = b = 1, in which case a^2 + b^2 = 2ab.<\/p>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\">If x and y are positive integers, is x^2 + y^2 &gt; 2xy?<a href=\"https:\/\/www.gchq.gov.uk\/section\/news\/puzzles\" target=\"_blank\" rel=\"noreferrer noopener\"><\/a><\/h3>\n\n\n\n<div class=\"wp-block-group has-background is-layout-constrained wp-block-group-is-layout-constrained\" style=\"background-color:#ffdf9e\">\n<p>To determine if x^2 + y^2 &gt; 2xy for positive integers x and y, we need to consider different cases:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>If x = 1 or y = 1, then one of the terms on the left-hand side (x^2 or y^2) becomes 1. In this case, x^2 + y^2 &gt; 2xy always holds true.<\/li>\n<\/ol>\n\n\n\n<p>For example, if x = 1 and y = 2, we have 1 + 2^2 = 5 &gt; 2(1)(2) = 4.<\/p>\n\n\n\n<ol start=\"2\" class=\"wp-block-list\">\n<li>If both x and y are greater than 1, we can use the algebraic identity (x + y)^2 = x^2 + 2xy + y^2. Rearranging, we get x^2 + y^2 = (x + y)^2 &#8211; 2xy &gt; 2xy.<\/li>\n<\/ol>\n\n\n\n<p>Therefore, for x, y &gt; 1, we have x^2 + y^2 &gt; 2xy.<\/p>\n\n\n\n<p>In summary, the inequality x^2 + y^2 &gt; 2xy holds true for all positive integers x and y, regardless of their values.<\/p>\n\n\n\n<p>The key points are:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If x = 1 or y = 1, the inequality is automatically satisfied.<\/li>\n\n\n\n<li>If x, y &gt; 1, we can use the algebraic identity (x + y)^2 = x^2 + 2xy + y^2 to prove the inequality.<\/li>\n<\/ul>\n\n\n\n<p>So, for positive integers x and y, x^2 + y^2 is always greater than 2xy.<\/p>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\">5 GRE Numeric Entry Questions<\/h2>\n\n\n\n<p>Practicing GRE numeric entry questions is invaluable because these questions test your ability to perform precise calculations and provide an exact numerical answer, a skill that is essential in quantitative fields and research-based disciplines.<\/p>\n\n\n\n<p>Here are five examples of GRE numeric entry questions to help you develop this crucial skill:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">If x + 3y = 12 and x &#8211; y = 4, what is the value of x?<\/h3>\n\n\n\n<div class=\"wp-block-group has-background is-layout-constrained wp-block-group-is-layout-constrained\" style=\"background-color:#ffdf9e\">\n<p>To find the value of&nbsp;x given the equations:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\ud835\udc65+3\ud835\udc66=12x+3y=12<\/li>\n\n\n\n<li>\ud835\udc65\u2212\ud835\udc66=4x\u2212y=4<\/li>\n<\/ol>\n\n\n\n<p>Follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Solve the second equation for \ud835\udc65x:<\/li>\n<\/ol>\n\n\n\n<p>\ud835\udc65=\ud835\udc66+4x=y+4<\/p>\n\n\n\n<ol start=\"2\" class=\"wp-block-list\">\n<li>Substitute \ud835\udc65x in the first equation:<\/li>\n<\/ol>\n\n\n\n<p>(\ud835\udc66+4)+3\ud835\udc66=12(y+4)+3y=12<\/p>\n\n\n\n<ol start=\"3\" class=\"wp-block-list\">\n<li>Simplify and solve for \ud835\udc66y:<\/li>\n<\/ol>\n\n\n\n<p>\ud835\udc66+4+3\ud835\udc66=12y+4+3y=12 4\ud835\udc66+4=124y+4=12 4\ud835\udc66=84y=8 \ud835\udc66=2y=2<\/p>\n\n\n\n<ol start=\"4\" class=\"wp-block-list\">\n<li>Substitute \ud835\udc66y back into \ud835\udc65=\ud835\udc66+4x=y+4:<\/li>\n<\/ol>\n\n\n\n<p>\ud835\udc65=2+4x=2+4 \ud835\udc65=6x=6<\/p>\n\n\n\n<p>So, the value of x&nbsp;is 6.<\/p>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\">The sum of three consecutive even integers is 42. What is the smallest of these integers?<\/h3>\n\n\n\n<div class=\"wp-block-group has-background is-layout-constrained wp-block-group-is-layout-constrained\" style=\"background-color:#ffdf9e\">\n<p>Let&#8217;s denote the three consecutive even integers as \ud835\udc65x, \ud835\udc65+2x+2, and \ud835\udc65+4x+4.<\/p>\n\n\n\n<p>The sum of these integers is given by:<\/p>\n\n\n\n<p>\ud835\udc65+(\ud835\udc65+2)+(\ud835\udc65+4)=42x+(x+2)+(x+4)=42<\/p>\n\n\n\n<p>Simplify the equation:<\/p>\n\n\n\n<p>\ud835\udc65+\ud835\udc65+2+\ud835\udc65+4=42x+x+2+x+4=42 3\ud835\udc65+6=423x+6=42<\/p>\n\n\n\n<p>Subtract 6 from both sides:<\/p>\n\n\n\n<p>3\ud835\udc65=363x=36<\/p>\n\n\n\n<p>Divide by 3:<\/p>\n\n\n\n<p>\ud835\udc65=12x=12<\/p>\n\n\n\n<p>So, the smallest of these integers is 1212.<\/p>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\">A company&#8217;s profit is calculated as 25% of its revenue. If the company&#8217;s revenue last year was $1,200,000, what was its profit? (Enter your answer as a decimal, rounded to the nearest whole number.)<\/h3>\n\n\n\n<div class=\"wp-block-group has-background is-layout-constrained wp-block-group-is-layout-constrained\" style=\"background-color:#ffdf9e\">\n<p>To calculate the company&#8217;s profit, which is 25% of its revenue, follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Determine the percentage as a decimal: 25%=0.2525%=0.25<\/li>\n\n\n\n<li>Multiply the revenue by the percentage: Profit=0.25\u00d7$1,200,000Profit=0.25\u00d7$1,200,000<\/li>\n\n\n\n<li>Perform the multiplication: Profit=$300,000Profit=$300,000<\/li>\n<\/ol>\n\n\n\n<p>Thus, the company&#8217;s profit last year was $300,000.<\/p>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\">A rectangular garden has an area of 48 square meters and a length of 8 meters. What is the perimeter of the garden in meters?<\/h3>\n\n\n\n<div class=\"wp-block-group has-background is-layout-constrained wp-block-group-is-layout-constrained\" style=\"background-color:#ffdf9e\">\n<p>To find the perimeter of the rectangular garden, follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Calculate the width of the garden using the area and length.<\/li>\n<\/ol>\n\n\n\n<p>Given: Area=48&nbsp;square&nbsp;metersArea=48&nbsp;square&nbsp;meters Length=8&nbsp;metersLength=8&nbsp;meters<\/p>\n\n\n\n<p>Width=Area\/LengthWidth=Area\/Length Width=48\/8Width=48\/8 Width=6&nbsp;metersWidth=6&nbsp;meters<\/p>\n\n\n\n<ol start=\"2\" class=\"wp-block-list\">\n<li>Calculate the perimeter using the formula for the perimeter of a rectangle: Perimeter=2(Length+Width)<br>Perimeter=2(8+6)<br>Perimeter=2\u00d714 Perimeter=28 meters<br>So, the perimeter of the garden is 28 meters.<\/li>\n<\/ol>\n\n\n\n<p>So, the perimeter of the garden is 28 meters.<\/p>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\">If 2x^2 + 3x &#8211; 5 = 0, what is the value of x? (Enter your answer as a decimal, rounded to two decimal places.)<\/h3>\n\n\n\n<div class=\"wp-block-group has-background is-layout-constrained wp-block-group-is-layout-constrained\" style=\"background-color:#ffdf9e\">\n<p>To solve the quadratic equation 2\ud835\udc652+3\ud835\udc65\u22125=02&#215;2+3x\u22125=0, we can use the quadratic formula:<\/p>\n\n\n\n<p>\ud835\udc65=\u2212\ud835\udc4f\u00b1\ud835\udc4f2\u22124\ud835\udc4e\ud835\udc502\ud835\udc4ex=2a\u2212b\u00b1b2\u22124ac\u200b\u200b<\/p>\n\n\n\n<p>In this equation, \ud835\udc4e=2a=2, \ud835\udc4f=3b=3, and \ud835\udc50=\u22125c=\u22125.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Calculate the discriminant: \ud835\udc4f2\u22124\ud835\udc4e\ud835\udc50=32\u22124(2)(\u22125)b2\u22124ac=32\u22124(2)(\u22125) =9+40=9+40 =49=49<\/li>\n\n\n\n<li>Substitute the values into the quadratic formula: \ud835\udc65=\u22123\u00b1492\u00d72x=2\u00d72\u22123\u00b149\u200b\u200b \ud835\udc65=\u22123\u00b174x=4\u22123\u00b17\u200b<\/li>\n<\/ol>\n\n\n\n<p>This gives us two possible solutions:<\/p>\n\n\n\n<ol start=\"3\" class=\"wp-block-list\">\n<li>Calculate the first solution: \ud835\udc65=\u22123+74x=4\u22123+7\u200b \ud835\udc65=44x=44\u200b \ud835\udc65=1x=1<\/li>\n\n\n\n<li>Calculate the second solution: \ud835\udc65=\u22123\u221274x=4\u22123\u22127\u200b \ud835\udc65=\u2212104x=4\u221210\u200b \ud835\udc65=\u22122.5x=\u22122.5<\/li>\n<\/ol>\n\n\n\n<p>So, the solutions are \ud835\udc65=1x=1 and \ud835\udc65=\u22122.5x=\u22122.5.<\/p>\n\n\n\n<p>The values of \ud835\udc65x rounded to two decimal places are: \ud835\udc65=1.00&nbsp;and&nbsp;\ud835\udc65=\u22122.50x=1.00&nbsp;and&nbsp;x=\u22122.50<\/p>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\">Conclusion<\/h2>\n\n\n\n<p>Preparing for the GRE math section doesn&#8217;t have to be overwhelming. By focusing on the most frequently asked questions and employing strategic problem-solving techniques, you can boost your confidence and your score. Remember, consistent practice and a solid understanding of fundamental concepts are key to success.<\/p>\n\n\n\n<p>As you practice, take time to reflect on your mistakes. Understanding why you got a question wrong is just as important as knowing the right answer. This reflection helps you identify patterns in your thinking and strengthens your problem-solving skills, ensuring you&#8217;re better prepared for test day.<\/p>\n\n\n\n<p>Navigate your path to <a href=\"https:\/\/ambitio.club\/exams\/gre\" target=\"_blank\" rel=\"noreferrer noopener\">GRE success with Ambitio&#8217;s<\/a> precision preparation. Designed for ambitious students, our platform provides a strategic approach to the GRE, offering in-depth content review, practice tests, and personalized feedback to optimize your study time and results.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">FAQs<\/h2>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1716298378546\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><strong>What types of math questions are on the GRE?<\/strong><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The GRE Quantitative Reasoning section tests your knowledge of arithmetic, algebra, geometry, and data analysis<a href=\"https:\/\/magoosh.com\/gre\/gre-math-practice-questions\/\" target=\"_blank\" rel=\"noreferrer noopener\"><\/a><a href=\"https:\/\/www.varsitytutors.com\/gre_math-practice-tests\" target=\"_blank\" rel=\"noreferrer noopener\"><\/a><a href=\"https:\/\/www.princetonreview.com\/grad-school-advice\/gre-math-practice\" target=\"_blank\" rel=\"noreferrer noopener\"><\/a>.\u00a0This includes topics like properties of integers, arithmetic operations, exponents, equations, coordinate geometry, probability, and statistics.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1716298391459\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><strong>How many math questions are on the GRE?<\/strong><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The GRE has two 35-minute Quantitative Reasoning sections, each with 20 questions, for a total of 40 math questions<a href=\"https:\/\/www.varsitytutors.com\/gre_math-practice-tests\" target=\"_blank\" rel=\"noreferrer noopener\"><\/a>.\u00a0The questions are a mix of multiple choice, quantitative comparison, and numeric entry formats.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1716298405648\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><strong>What is the best way to practice GRE math?<\/strong><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The key to improving your GRE math skills is to practice a wide variety of questions, identify your weaknesses, and learn from your mistakes.\u00a0Work through practice questions, review explanations for questions you got wrong, and focus on the areas you struggle with the most.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1716298420862\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><strong>Are there any shortcuts or tricks for GRE math?<\/strong><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>While there are some useful strategies like plugging in numbers or using the process of elimination, the best approach is to master the underlying math concepts<a href=\"https:\/\/www.princetonreview.com\/grad-school-advice\/gre-math-practice\" target=\"_blank\" rel=\"noreferrer noopener\"><\/a>.\u00a0Shortcuts can be risky if you don&#8217;t fully understand the reasoning behind them.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1716298439078\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><strong>How hard are the math questions on the GRE?<\/strong><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The difficulty of GRE math questions varies, with some being relatively straightforward and others being quite challenging<a href=\"https:\/\/magoosh.com\/gre\/gre-math-practice-questions\/\" target=\"_blank\" rel=\"noreferrer noopener\"><\/a><a href=\"https:\/\/magoosh.com\/gre\/math\/math-practice\/\" target=\"_blank\" rel=\"noreferrer noopener\"><\/a>.\u00a0The second Quant section will be harder if you perform well on the first section. Practicing a mix of easy, medium, and hard questions is ideal.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1716298457050\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><strong>What is the best way to study for the GRE math section?<\/strong><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Effective GRE math prep involves taking practice tests, reviewing explanations, and focusing on your weakest areas<a href=\"https:\/\/magoosh.com\/gre\/gre-math-practice-questions\/\" target=\"_blank\" rel=\"noreferrer noopener\"><\/a><a href=\"https:\/\/www.varsitytutors.com\/gre_math-practice-tests\" target=\"_blank\" rel=\"noreferrer noopener\"><\/a><a href=\"https:\/\/magoosh.com\/gre\/math\/math-practice\/\" target=\"_blank\" rel=\"noreferrer noopener\"><\/a>.\u00a0Use a variety of resources like practice questions, flashcards, videos, and books. Studying with a tutor or in a class can also be very helpful for many students.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Key Takeaways Did you know over 70% of Indian students struggle with the frequently asked GRE math questions in practice tests, not because they don\u2019t study, but because they don\u2019t recognize\u00a0how questions trick them? Most practice questions with answers aren\u2019t built to reflect the real GRE quant section. That\u2019s the harsh truth. But the fix? [&hellip;]<\/p>\n","protected":false},"author":5,"featured_media":44737,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[11,12],"tags":[],"class_list":["post-15923","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-exams","category-gre"],"acf":[],"_links":{"self":[{"href":"https:\/\/ambitio.club\/blog\/wp-json\/wp\/v2\/posts\/15923","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ambitio.club\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ambitio.club\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ambitio.club\/blog\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/ambitio.club\/blog\/wp-json\/wp\/v2\/comments?post=15923"}],"version-history":[{"count":0,"href":"https:\/\/ambitio.club\/blog\/wp-json\/wp\/v2\/posts\/15923\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ambitio.club\/blog\/wp-json\/wp\/v2\/media\/44737"}],"wp:attachment":[{"href":"https:\/\/ambitio.club\/blog\/wp-json\/wp\/v2\/media?parent=15923"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ambitio.club\/blog\/wp-json\/wp\/v2\/categories?post=15923"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ambitio.club\/blog\/wp-json\/wp\/v2\/tags?post=15923"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}