Find the least number which when divided by 12, 27 and 35 leaves 6 as a remainder
Find the least number which when divided by 12, 18, 24 and 30 leaves 4 as remainder in each case, but when divided by 7 leaves no remainder.This question was previously asked in Show
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Answer (Detailed Solution Below)Option 4 : 364 Free History of Indian Constitution 15 Questions 15 Marks 9 Mins Concept Used- The least number which is divisible by several numbers is the LCM of such numbers. Calculation- The least number which is divisible by 12, 18, 24 and 30 = LCM of 12, 18, 24 and 30 ⇒ 360 Now the least number which leaves remainder as 4 when divided by 12, 18, 24 and 30 = 360 + 4 ⇒ 364 Now, 364 is divisible by 7. ∴ 364 is the required number. Latest MP Police Constable Updates Last updated on Nov 15, 2022 MP Police Constable Final Result announced. The Madhya Pradesh Police had announced a total of 4000 vacancies for the post of Constable. The selection process for MP Police Constable includes Written Test, Physical Efficiency Test ,Physical Measurement Test, and Trade/Driving Test (for the post of Driver only). The salary of the finally appointed candidates will be in the range of INR 19,500 - INR 62,600. Ace your Quantitative Aptitude and Number System preparations for LCM and HCF with us and master LCM for your exams. Learn today! Find the least number which divided by 27, 35, 45 and 49 leaves the remainder 6 in each case?Solution(By Examveda Team) ANSWER = 6621 No worries! We‘ve got your back. Try BYJU‘S free classes today! No worries! We‘ve got your back. Try BYJU‘S free classes today! Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses No worries! We‘ve got your back. Try BYJU‘S free classes today! Open in App Solution The correct option is C 151To find the least number which is divisible by 12, 16 ,24 and 36, we need to find L.C.M. of these numbers. 212,16,24,3626,8,12,1823,4,6,923,2,3,933,1,3,931,1,1,31,1,1,1 L.C.M. of 12, 16, 24, 36 =2×2×2×2×3×3=144 Least Number which when divided by 12, 16 ,24 and 36 leaves a remainder 7 in each case =144+7=151What is the least number which when divided by 12 21 and 35 leaves remainder 6?What will be the least number which when divided by 12 21 and 35 leaves a remainder 6 in each caseAns = 426.
What is the least number which when divided by 24 28 and 35 leaves 3 as remainder in each case?What is the least number which when divided by 24, 28 and 35, leaves 3 as remainder in each case? Explanation: L.C.M of 24,28 adn 35 is 840. So the required number is 840 + 3 = 843.
What is the smallest number which when divided by 12 15 18 and 27 leaves remainder of 8 11 14 and 23 respectively?Answer: The number is 536.
What is the least number which when divided by 12 15 20 leaves remainder 4?∴ Required least such number is 544.
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