Question
Download Solution PDFIf the HCF of 65 and 117 is expressible in the form 65m - 117, then the value of m is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Euclid's division lemma: Given positive integers a and b there exist whole numbers q and r satisfying,
a = bq + r, where, 0 ≤ r ≤ b
Calculation:
Using Euclid's division lemma,
117 = 65 × 1 + 52
⇒ 65 = 52 × 1 + 13
⇒ 52 = 13 × 4 + 0
∴ HCF(65, 117) = 13
According to question,
65m - 117 = 13
⇒ 65m = 117 + 13 = 130
⇒ m = 2
Last updated on Aug 9, 2024
->The official UPTET Notification 2025 to be out soon. The candidates who will qualify for the written test will receive an eligibility certificate.
-> The UPTET exam is conducted by the Uttar Pradesh Exam Regulatory Authority.
->The UPTET exam is conducted to provide aspiring teachers the status to teach for primary and upper primary classes.
->Candidates who qualify for Paper I can apply for the Primary Teacher role and those who qualify Paper II can apply for Upper Primary Teacher Role in Government schools across Uttar Pradesh.
->To prepare for the exam, solve UP TET Previous Year Papers. Also, attempt UP TET Mock Tests.