If the least common multiple of 85 and 255 can be expressed as 85R+255, then the value of R is:

This question was previously asked in
RPF Constable 2024 Official Paper (Held On 03 Mar, 2025 Shift 2)
View all RPF Constable Papers >
  1. 6
  2. 10
  3. 0
  4. 14

Answer (Detailed Solution Below)

Option 3 : 0
Free
General Science for All Railway Exams Mock Test
20 Qs. 20 Marks 15 Mins

Detailed Solution

Download Solution PDF

Given:

Numbers: 85 and 255

Least Common Multiple (LCM) = 85R + 255

Formula Used:

LCM = (Product of numbers) / (Greatest Common Divisor (GCD))

Calculation:

⇒ LCM (85, 255) = 255

⇒ LCM = 85R + 255

Substitute LCM = 255 into the equation:

⇒ 255 = 85R + 255

⇒ 85R = 255 - 255

⇒ 85R = 0

⇒ R = 0

The value of R is 0.

Latest RPF Constable Updates

Last updated on Jun 19, 2025

-> The Railway Recruitment Board has released the RPF Constable 2025 Result on 19th June 2025.

-> The RRB ALP 2025 Notification has been released on the official website. 

-> The Examination was held from 2nd March to 18th March 2025. Check the RPF Exam Analysis Live Updates Here.

More LCM and HCF Questions

Hot Links: mpl teen patti teen patti master downloadable content teen patti rules teen patti all