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It includes general test-taking instructions and then multiple question sets covering inequalities, proportional pricing from equal partitions, percentage decrease, averages of consecutive integers, multi-rate (overtime-like) earnings calculations, and algebraic equation solving with fractions and square roots. Each item provides the correct choice and step-by-step reasoning.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/gre-quantitative-reasoning-practice-test-7-2024/462141/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/gre-quantitative-reasoning-practice-test-7-2024/462141.png","ImageObject",300,407,{"name":92,"@type":93},"cksankcs","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the main rule about answering questions in the GRE Quantitative Reasoning practice test?","Question",{"text":112,"@type":113},"There is no penalty for incorrect answers, so every question should be answered even if guessing is needed.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Can test-takers change answers during the test?",{"text":117,"@type":113},"Within a section, questions can be marked for review and answers changed as long as the time for that section has not expired.",{"name":119,"@type":110,"acceptedAnswer":120},"What calculator and timing conditions apply during the Quantitative Reasoning section?",{"text":121,"@type":113},"The test is taken on a computer with an on-screen calculator for Quantitative Reasoning, and there are no breaks—leaving your seat does not stop the timer for the current section.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},462141,1791263127,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145,"preview_page_count":4},3985747882755,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","GRE Quantitative Reasoning Practice Test-7, 2024 with Solutions  \n\n| Time Allowed : 1 Hour 58 Minutes | Maximum Marks : 340 |\n| --- | --- |\n\nGeneral Instructions  \nRead the following instructions very carefully and strictly follow them:  \n1. There is no penalty for incorrect answers on the Verbal Reasoning and Quantitative Reasoning sections. This means you should always answer every question, even if you have to guess.  \n2. Within any section of the test, you can mark questions you want to review and change your answers as long as the time for that section has not expired.  \n3. The Analytical Writing section is always presented first. The Verbal Reasoning and Quantitative Reasoning sections may appear in any order after the essay.  \n4. The test is taken on a computer, and test-takers are provided with scratch paper or a small whiteboard for notes.  \n5. The Quantitative Reasoning section includes an on-screen calculator.  \n6. There are no breaks during the test. Leaving your seat at any point will not stop the timer for the current section.  \n1. If x is a positive integer and 3x − 7 \u003C 2x + 5, what is the greatest possible value of x?  \n(A) 6 (B) 8 (C) 10  \n(D) 12  \n(E) 14  \nCorrect Answer: (2) 8 Solution:  \nWe are given the inequality:  \n3x − 7 \u003C 2x + 5  \nFirst, subtract 2x from both sides to isolate x on the left-hand side:  \n3x − 7 − 2x \u003C 2x + 5 − 2x  \nSimplifying the equation:  \nx − 7 \u003C 5  \nNext, add 7 to both sides to further isolate x:  \nx − 7 + 7 \u003C 5 + 7  \nSimplifying:  \nx \u003C 12  \nSince x is a positive integer, the greatest possible value of x is 8 .  \nQuick Tip: When solving inequalities, always perform the same operation on both sides of the inequality. Be cautious of sign changes when multiplying or dividing by negative numbers, as that will flip the inequality sign.  \nQuick Tip  \nFor inequalities involving integers, always consider the greatest integer less than or equal to the boundary values.  \n2. A bakery makes 120 cookies, which are divided equally among 4 boxes. Each box is sold for $15 . What is the price per cookie?  \n(A) $0.25  \n(B) $0.50  \n(C) $1.00  \n(D) $1.25  \n(E) $1.50  \nCorrect Answer: (2) $0.50 Solution:  \nThe total number of cookies is 120, and these are divided equally among 4 boxes. So, the number of cookies per box is:  \n120  \n= 30 cookies per box 4 .  \nNext, each box is sold for $15, so the price per cookie is:  \n15  \n= 0 .50 dollars per cookie.  \n30  \nConclusion: The price per cookie is 0 .50 dollars.  \nQuick Tip  \nWhen dividing total cost by the number of items, remember to break down the total cost per group first (if needed), then calculate the unit price.  \n3. A number is decreased by 40% and the result is 72 . What was the original number?  \n(A) 100  \n(B) 120  \n(C) 150  \n(D) 160  \n(E) 180  \nCorrect Answer: (4) 160 Solution:  \nLet the original number be x. If the number is decreased by 40%, 60% of the original number remains. Therefore, we can set up the equation:  \n0.60x = 72  \nNow, solve for x:  \n 72   \nx = = 120  \n0.60  \nConclusion: The original number is 120 .  \nQuick Tip  \nFor percentage decrease problems, use the formula:  \nNew value = 􀀒 1 − percentage100decrease 􀀓 × Original value.  \n4. If the average (arithmetic mean) of five consecutive integers is 25, what is the largest of these integers?  \n(A) 25  \n(B) 26  \n(C) 27  \n(D) 28  \n(E) 29  \nCorrect Answer: (3) 27 Solution:  \nLet the five consecutive integers be x − 2, x − 1, x, x + 1, x + 2, where x is the middle integer. The average (mean) of these integers is given by:  \n(x~~ ~~−~~ ~~2)~~ ~~+~~ ~~(x~~ ~~−~~ ~~1)~~ ~~+~~ ~~x5~~ ~~+~~ ~~(x~~ ~~+~~ ~~1)~~ ~~+~~ ~~(x~~ ~~+~~ ~~2) = 25 .  \nSimplify the numerator:  \n(x − 2) + (x − 1) + x + (x + 1) + (x + 2)   5x  \n= .  \n5 5  \nThus, we have:  \n5x  \n= 25 .  \n5  \nNow, solve for x:  \nx = 25 .  \nTherefore, the five consecutive integers are 23 , 24 , 25 , 26 , 27, and the largest integer is 27 .  \nQuick Tip  \nFor consecutive integers, the average is always the middle number. The largest integer wil","cbCaifbusfwifZn9","https://ap.wps.com/l/cbCaifbusfwifZn9","pdf",169151,13,"English","# General Instructions\n# Quantitative Practice Problems (with Solutions)","[{\"question\":\"What is the main rule about answering questions in the GRE Quantitative Reasoning practice test?\",\"answer\":\"There is no penalty for incorrect answers, so every question should be answered even if guessing is needed.\"},{\"question\":\"Can test-takers change answers during the test?\",\"answer\":\"Within a section, questions can be marked for review and answers changed as long as the time for that section has not expired.\"},{\"question\":\"What calculator and timing conditions apply during the Quantitative Reasoning section?\",\"answer\":\"The test is taken on a computer with an on-screen calculator for Quantitative Reasoning, and there are no breaks—leaving your seat does not stop the timer for the current section.\"}]","GRE Quantitative Reasoning Practice Test-7 - 2024 | PDF",1790763371,33]