Mẹo What is the least number which when divided by 12 24 and 30 leaves a remainder 7 in each case?
Mẹo về What is the least number which when divided by 12 24 and 30 leaves a remainder 7 in each case? Mới Nhất
Bùi Thị Kim Oanh đang tìm kiếm từ khóa What is the least number which when divided by 12 24 and 30 leaves a remainder 7 in each case? được Update vào lúc : 2022-10-05 03:50:12 . Với phương châm chia sẻ Thủ Thuật Hướng dẫn trong nội dung bài viết một cách Chi Tiết 2022. Nếu sau khi đọc nội dung bài viết vẫn ko hiểu thì hoàn toàn có thể lại phản hồi ở cuối bài để Mình lý giải và hướng dẫn lại nha.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
Nội dung chính- 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.Answer (Detailed Solution Below)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 16 24 36 leaves a remainder 7 in each case?What is the least number which when divided by 12 20 and 24 leaves in each case a remainder of 8?What will be the least number which when divided by 12 15 18 and 24 leaves a remainder of 7 in each case?Which is the least number which when divided by 12 and 16 leave the same remainder?
SSC CGL Tier 2 Quant Previous Paper 3 (Held On: 18 November 2022)
View all SSC CGL Papers >
366634384364Answer (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 Sep 22, 2022
The Madhya Pradesh Police has released the revised schedule for the Preliminary Eligibility Test (PET) of the Madhya Pradesh Police Constable exam on 20th May 2022. The exam was cancelled in view of the extreme heatwave conditions in Madhya Pradesh. The PET is now scheduled for 6 June onwards. A total of 4000 vacancies are to be filled by the MP Police Constable Recruitment 2022. The candidates should go through the MP Police Constable Syllabus and Exam Pattern to have an idea of the requirements of the exam.
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 when divided by 12, 16, 24 and 36 leaves a remainder 7 in each case.
SolutionWe first find the LCM of 12, 16, 24, and 36 as follows:
Thus, LCM = 2 × 2 × 2 × 2 × 3 × 3 = 144
144 is the least number which when divided by the given numbers will leave remainder 0 in each case. But
we need the least number that leaves remainder 7in each case.
Therefore, the required number is 7 more than 144.
The required least number = 144 + 7 = 151.
Concept: Lowest Common Multiple
Is there an error in this question or solution?
Correct Answer - Option 4 : 364
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.
No worries! We‘ve got your back. Try BYJU‘S không lấy phí classes today!
No worries! We‘ve got your back. Try BYJU‘S không lấy phí 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 không lấy phí classes today!
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=151
What is the least number which when divided by 12 16 24 36 leaves a remainder 7 in each case?
Least Number which when divided by 12, 16 ,24 and 36 leaves a remainder 7 in each case =144+7=151.What is the least number which when divided by 12 20 and 24 leaves in each case a remainder of 8?
Calculation: Least number which is divisible by all given number is LCM of all numbers. ∴ The required number is 128.What will be the least number which when divided by 12 15 18 and 24 leaves a remainder of 7 in each case?
∴ 364 is the required number.Which is the least number which when divided by 12 and 16 leave the same remainder?
The smallest number, which when divided by 12 and 16 leaves remaining 5 and 9 respectively, is : - GKToday. = 48 – 7 = 41. Hence option [C] is correct answer. Tải thêm tài liệu liên quan đến nội dung bài viết What is the least number which when divided by 12 24 and 30 leaves a remainder 7 in each case?
Post a Comment