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Guys, does anyone know the answer? get what is the largest number of four digits which when divided by 7,12,15 and 20 leaves remainders 4,9,12,and 17 respectively? from screen. What is the greatest number of 4 digits that which when divided by any of the numbers 6, 9, 12 and 17 leaves a remainder of 1?Click here👆to get an answer to your question ✍️ What is the greatest number of 4 digits that which when divided by any of the numbers 6, 9, 12 and 17 leaves a remainder of 1?  Question What is the greatest number of 4 digits that which when divided by any of the numbers 6, 9, 12 and 17 leaves a remainder of 1?A9997B9793C9895D9487Medium Open in App स्रोत : www.toppr.com The greatest number for four digits which when divided by 12The greatest number for four digits which when divided by 12, 16 and 24 leave remainder 2,6 and 14 respectively is = ? a) 9974 b) 9970 c) 9807 d) 9998 Examveda The greatest number for four digits which when divided by 12, 16 and 24 leave remainder 2,6 and 14 respectively is = ?A. 9974 B. 9970 C. 9807 D. 9998 Solution(By Examveda Team)12 - 2 = 10 16 - 6 = 10 24 - 14 = 10 LCM of (12, 16, 24) = 6 × 2 × 4 × 1 = 48 Greatest number of four digits = 9999 ∴ When it is divided by 48 we get remainder = 15 ⇒ The greatest number of 4 digits which completely divides the given number is = 9999 - 15 = 9984 ∴ Number is = 9984 - 10 = 9974 Join The DiscussionRelated Questions on Problems on H.C.F and L.C.M Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.A. 4 B. 7 C. 9 D. 13 View Answer The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:A. 276 B. 299 C. 322 D. 345 View Answer Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?A. 4 B. 10 C. 15 D. 16 View Answer Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:A. 4 B. 5 C. 6 D. 8 View Answer More Related Questions on Problems on H.C.F and L.C.M Read More: MCQ Type Questions and AnswersArithmetic Ability Competitive Reasoning Competitive English Data Interpretation General Knowledge History Geography Current Affairs Banking Awareness Computer Fundamentals Networking C Program Java Program SQL Database HTML CSS Javascript PHP Computer Science Electrical Engineering Mechanical Engineering Civil Engineering Chemical Engineering Commerce Management स्रोत : www.examveda.com The greatest number of four digits which when divided by 12, 16, and 24 leave remainders 2, 6 and 14 respectively is?Answer: 12 -2 = 10 16 - 6 =10 24 - 14 =10 Now LCM of 12, 16 and 24 is 48. The greatest number of four digit is 9999. The greatest four digit number divisible by 48 will also be divisible by 12,16 and 24. That's 9984. If number 10 is subtracted from the number 9984 the resulting number will f... The greatest number of four digits which when divided by 12, 16, and 24 leave remainders 2, 6 and 14 respectively is? Ad by Amazon Web Services (AWS) AWS is how. AWS removes the complexity of building, training, and deploying machine learning models at any scale. Sort Kripa Narayan Singh Former Chief Engineer at NBPDCL, Bihar (1984–2017)Author has 1.2K answers and 832K answer views3y 12 -2 = 10 16 - 6 =10 24 - 14 =10 Now LCM of 12, 16 and 24 is 48. The greatest number of four digit is 9999. The greatest four digit number divisible by 48 will also be divisible by 12,16 and 24. That's 9984. If number 10 is subtracted from the number 9984 the resulting number will follow the condition in the question and that number is 9974. Thanks 11.5K viewsView upvotes Your response is private Was this worth your time? This helps us sort answers on the page. Absolutely not Definitely yes Ram Kushwah B.Tech in Mathematics & Vipassanā (meditation), Malaviya National Institute of Technology, Jaipur (Graduated 1990)Author has 4.9K answers and 8.2M answer views2y Related What is the largest four digit number which when divided by 4, 7, and 13 leaves a remainder of 3 in each case? LCM( 4,7,13)=4*7*13=364 Now largest 4 digit number=9999 9999=27*364+171 =9828+171 Thus largest 4 digit number divisible by 4,7,13 is 9828 In each case the remainder is 3 Thus the required number=9828+3=9831 Sponsored by Aspose What is Aspose.OCR for C++ library? OCR API capable of extracting text from BMP, JPEG and other images having different fonts and styles. Aspose products.aspose.com Learn More John Maurice Ex-maths teacherAuthor has 111 answers and 190.4K answer views3y Related What is the greatest 4-digit number, which when divided by 20, 24, and 45 leaves a remainder of 11 in each case? The lowest common multiple of 20, 24 and 45 is 360. 9999/360 = 27.775 So the largest four-digit number that divides by all three is 27 x 360 = 9720 So the largest four-digit number that leaves a remainder of 11 is 9720 + 11 = 9731 Terry Richards Programming for Over 40 Years (1975–present)Upvoted by Terry Moore , M.Sc. Mathematics, University of Southampton (1968)Author has 162 answers and 72.4K answer views3y Related How will you find the least number of 5 digits that when divided by 12, 16, 20, and 25, leaves a remainder 8 in each case? Break the problem down into steps: Find the smallest number that will divide by these numbers leaving a remainder of zero. That’s the LCM (lowest common multiple). You can look up the method for calculating the LCM or you can find many LCM calculators on the internet. The LCM of those numbers is 1200. That’s the smallest number that will divide by the given values. But we need a 5 digit number so we need the smallest 5 digit number that is a multiple of 1200. Eight of them gives you 9600 which is still 4 digits but nine of them gives you 10800 so that’s the smallest 5-digit number that divides b Marcus Kreider Grad student and lifelong amateur in math.Author has 99 answers and 1.9M answer views2y Related What is the least number which when divided by 8, 12, 16, and 24 gives a remainder of 5 in each case? What is the product of the digits of the number? Trivially, the smallest such positive number is 5 5 . Of course, this is boring. So the next smallest number can be obtained by taking the L.C.M. of those numbers. lcm(8,12,16,24)=48 lcm(8,12,16,24)=48 . Thus, the next smallest number is 53 53 , and the product of the digits is 15 15 . Sponsored by The Rotation The Rotation. Your regular medical education checkup. The Rotation the-rotation.com Read More K S Narayanan Cost Accountant having 24 years Telecom ExperienceAuthor has 5.9K answers and 9.1M answer views3y Related Find the largest number of four digits such that on dividing by 15, 18, 21 and 24 the remainders are 11, 14, 17 and 20 respectively? Look at the difference between Divisors and respective remainders. 15 – 11 = 18 - 14 = 21 - 17 = 24 20 = 4 Required number is LCM(15,18,21,24)k - 4 LCM(15,18,21,24) = 2520 Putting values =k = 1, 2, 3, we have : 2520 - 4 = 2516 5040 - 4 = 5036 7560 - 4 = 7556 10080 - 4 = 10076 => 7556 is required largest four digit number. :-) Thirisha Mandalapu Lives in Bengaluru, Karnataka, India (2019–present)Author has 289 answers and 579.7K answer views4y Related What is the greatest four-digit number that when divided by 7, 10, 15, 21, and 28 leaves no remainder? LCM of 7,10,15,21,28 7=1*7 10=2*5 15=3*5 21=7*3 28=7*2*2 LCM=2*2*3*5*7=420. 9999%420=339. 9999–339=9660. So the greatest 4 digit number divisible by 7,10,15,21,28 =9660. Nidhi Shrotriya M.Sc. Maths from Vikram University1y Related The least multiple of 7 which when divided by 6,9,15 and 18 leaves remainder 4 is? Originally Answered: What is the least multiple of 7 which leaves a remainder of 4 when divided by 6, 9, 15, and 18? स्रोत : www.quora.com |
What is the largest number of 4 digit which when divided by 7 12 15 20 leaves remainder 4 9 12 and 17 respectively?
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