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
RPF Constable Full Test 1
3.9 Lakh Users
120 Questions 120 Marks 90 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 2, 2025

-> The Railway Recruitment Board has released the RPF Constable 2025 Response Sheet on 24th March 2025. As per the official notice, the RPF Constable Answer Key will be available from 24th March 2025 to 29th March 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.

-> RPF Constable 2025 application status was released in January 20, 2025.

More LCM and HCF Questions

Get Free Access Now
Hot Links: teen patti earning app teen patti real cash 2024 all teen patti master teen patti sweet