Question
Download Solution PDFदो संख्याओं का लघुत्तम समापवर्त्य (LCM), उनके महत्तम समापवर्तक (HCF) का 240 गुना है, तथा उनके LCM और HCF का योग 17593 है। इन दो संख्याओं में से एक संख्या को 125 से विभाजित करने पर भागफल 8 और शेषफल 95 प्राप्त होता है। दूसरी संख्या है:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
LCM = 240 × HCF
LCM + HCF = 17593
एक संख्या को 125 से विभाजित करने पर भागफल = 8 और शेषफल = 95
प्रयुक्त सूत्र:
दो संख्याओं का गुणनफल = HCF × LCM
गणना:
LCM + HCF = 17593 and LCM = 240 × HCF:
⇒ 240 × HCF + HCF = 17593
⇒ 241 × HCF = 17593
⇒ HCF = 17593 ÷ 241 = 73
LCM = 240 × 73
⇒ LCM = 17520
पहली संख्या = 125 × 8 + 95
⇒ पहली संख्या = 1000 + 95 = 1095
दो संख्याओं का गुणनफल = HCF × LCM
⇒ 1095 × दूसरी संख्या = 73 × 17520
⇒ दूसरी संख्या = (73 × 17520) /1095 = 1168
∴ सही उत्तर 1168 है।
Last updated on Apr 24, 2025
-> The AAI Junior Assistant Response Sheet 2025 has been out on the official portal for the written examination.
-> AAI has released 168 vacancies for Western Region. Candidates had applied online from 25th February to 24th March 2025.
-> A total number of 152 Vacancies have been announced for the post of Junior Assistant (Fire Service) for Northern Region.
-> Eligible candidates can apply from 4th February 2025 to 5th March 2025.
-> Candidates who have completed 10th with Diploma or 12th Standard are eligible for this post.
-> The selection process includes a Computer Based Test, Document Verification, Medical Examination (Physical Measurement Test), Driving Test and a Physical Endurance Test.
-> Prepare for the exam with AAI Junior Assistant Previous year papers.