A And B Are Two Multiples Of 36, And Q Is The Set Of Consecutive Integ

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Back to Forum Create Topic Reply A and B are two multiples of 36, and Q is the set of consecutive integ Bunuel Bunuel Math Expert Joined: 02 Sep 2009 Last visit: 02 Feb 2026 Posts: 107,504 Products: Expert Expert reply Active GMAT Club Expert! Tag them with @ followed by their username for a faster response. Posts: 107,504 Post URL 18 May 2021, 04:30 Show timer 00:00 Start Timer Pause Timer Resume Timer Show Answer a23% b51% c14% d7% e5% A B C D E Hide Show History My Mistake Official Answer and Stats are available only to registered users. Register/Login. Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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Date Time Result Not Attempted Yet A and B are two multiples of 36, and Q is the set of consecutive integers between A and B, inclusive. If Q contains 9 multiples of 9, how many multiples of 4 are there in Q?A. 18B. 19C. 20D. 21E. 22 ShowHide Answer Official Answer Official Answer and Stats are available only to registered users. Register/Login. _________________ New to the GMAT Club?

• Questions: Question Bank | Bunuel's Signature Collection• Tests: GMAT Club Tests | Forum Quiz• Guides: Quantitative | Verbal | Ultimate Quantitative Collection | All You Need for Quant• Rules: Quantitative | Verbal

Signature Read More Kudos Add Kudos 16 Bookmarks Bookmark this Post Most Helpful Reply Kinshook Kinshook Major Poster Joined: 03 Jun 2019 Last visit: 01 Feb 2026 Posts: 5,930 Location: India Schools: HBS '26 CBS '26 Wharton '26 GMAT 1: 690 Q50 V34 WE:Engineering (Transportation) Products: Schools: HBS '26 CBS '26 Wharton '26 GMAT 1: 690 Q50 V34 Posts: 5,930 Post URL 18 May 2021, 05:18 Given: A and B are two multiples of 36, and Q is the set of consecutive integers between A and B, inclusive. Asked: If Q contains 9 multiples of 9, how many multiples of 4 are there in Q?Let us take Q= {36,..,45,..,54,..,63,..,72,..,81,..,90,..,99,..,108}Multiples of 4 in Q = {36,40,........,108}Number of multiples of 4 in Q = (108-36)/4 + 1 = 72/4 + 1 = 18 + 1 = 19IMO B 4 Kudos Add Kudos 2 Bookmarks Bookmark this Post General Discussion MathRevolution MathRevolution Math Revolution GMAT Instructor Joined: 16 Aug 2015 Last visit: 27 Sep 2022 Posts: 10,067 GMAT 1: 760 Q51 V42 GPA: 3.82 Expert Expert reply GMAT 1: 760 Q51 V42 Posts: 10,067 Post URL 18 May 2021, 04:52 Lengthy Method: Multiple of 36: 36, 72, 108, 144...Q = 72 to 144 [9 multiples of 9: 72, 81, 90, 99, 108, 117, 126, 135, 144]From 72 to 144 inclusive, multiples of 4 will be: 144 = 72 + (n-1) * 4=> 72 = 4n - 4 => n = 19Answer BShortcut: Between every two consecutive multiples of 36, there will be ten multiple of 472 = 36 + (n-1) * 4=> 36 = 4n - 4 => n = 10Therefore, between two multiples of 36 (36 and 72) lies ten multiple of 4 So if there are 9 multiples of 9 in Q, the number of multiples of 4 would be = 9 + 10 = 19Answer B 2 Kudos Add Kudos Bookmarks Bookmark this Post Nidzo Nidzo Joined: 26 Nov 2019 Last visit: 02 Aug 2025 Posts: 959 Location: South Africa Posts: 959 Post URL 18 May 2021, 05:08 To solve, let A be 36 and find the value of B. From there divide both numbers by 4 to find how many multiples of 4 are in Q.As Q includes A and B, and we are dealing with multiples of 9, B too will be a multiple of 9. 9*4 = 36 gives us the first value in sequence Q, and there are 8 numbers after in Q, then B will be 9*12 = 108Difference between B and A: 108-36 = 72 72/4 = 18 +1 gives us 19 multiples of 4 in sequence QAnswer B 1 Kudos Add Kudos Bookmarks Bookmark this Post kabirgandhi kabirgandhi Joined: 11 Oct 2024 Last visit: 19 Jan 2026 Posts: 86 Location: India GMAT Focus 1: 645 Q85 V84 DI77 GMAT Focus 2: 715 Q88 V88 DI81 Products: GMAT Focus 2: 715 Q88 V88 DI81 Posts: 86 Post URL 16 Jul 2025, 01:30 This is how I went about this, can someone help me understand where I went wrong? Bunuel, MartyMurray, GMATGuruNY, GMATNinja.take 2 sample values of A and B, I took 0 and 36, since both are multiples of 36.Between 0 and 36, we have 5 multiples of 9 - 0,9,18,27,36Similarly, we have 10 multiples of 4 - 0,4,8,12,16,20,24,28,32,36Hence, ratio of multiples of 9 to multiples of 4 between A and B is 1:2Given: we have 9 multiples of 9, hence number of multiples of 4 must be 18 Kudos Add Kudos Bookmarks Bookmark this Post NEW TOPIC POST REPLY Question banks Downloads My Bookmarks Important topics Reviews Moderators: Bunuel Math Expert 107503 posts Krunaal Tuck School Moderator 825 posts

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