Question
Download Solution PDFदो संख्याओं का HCF 12 है। निम्नलिखित में से कौन-सा उनका LCM कभी नहीं हो सकता है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
दो संख्याओं का HCF 12 है।
प्रयुक्त अवधारणा:
1. यदि P, A और B का HCF है, तो A = P × m और B = P × n
2. LCM दो या दो से अधिक संख्याओं का लघुतम समापवर्त्य है।
गणना:
मान लीजिये, दो संख्याओं का अनुपात A : B है और उनका HCF H और LCM L है।
फिर, संख्याएँ क्रमशः AH और BH हैं।
LCM (AH, BH) अर्थात् L = H × A × B
अतः, L, H का गुणज है।
इसलिए, यदि दो संख्याओं का HCF 12 है, तो उनका LCM 12 का गुणज होना चाहिए।
अतः, 90 उनका LCM नहीं हो सकता।
∴ 90 उनका LCM कभी नहीं हो सकता।
Last updated on Jul 19, 2025
-> The SSC CGL Notification 2025 has been announced for 14,582 vacancies of various Group B and C posts across central government departments.
-> CSIR NET City Intimation Slip 2025 has been released @csirnet.nta.ac.in.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025 in multiple shifts.
-> Aspirants should visit the official website @ssc.gov.in 2025 regularly for CGL Exam updates and latest announcements.
-> Candidates had filled out the SSC CGL Application Form from 9 June to 5 July, 2025. Now, 20 lakh+ candidates will be writing the SSC CGL 2025 Exam on the scheduled exam date. Download SSC Calendar 2025-25!
-> In the SSC CGL 2025 Notification, vacancies for two new posts, namely, "Section Head" and "Office Superintendent" have been announced.
-> Candidates can refer to the CGL Syllabus for a better understanding of the exam structure and pattern.
-> The CGL Eligibility is a bachelor’s degree in any discipline, with the age limit varying from post to post.
-> The SSC CGL Salary structure varies by post, with entry-level posts starting at Pay Level-4 (Rs. 25,500 to 81,100/-) and going up to Pay Level-7 (Rs. 44,900 to 1,42,400/-).
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.