Three friends A, B and C start running around a circular stadium and complete a single round in 24 seconds, 36 seconds and 30 seconds, respectively. After how many minutes will they meet again at the starting point ? 

This question was previously asked in
UP Police Constable Re-Exam 2024 Official Paper (Held On: 25th Aug 2024 Shift 1)
View all UP Police Constable Papers >
  1. 5 minutes
  2. 6 minutes
  3. 8 minutes
  4. 12 minutes

Answer (Detailed Solution Below)

Option 2 : 6 minutes
Free
सामान्य हिंदी सेक्शनल टेस्ट 1
37 Qs. 74 Marks 20 Mins

Detailed Solution

Download Solution PDF

Given:

Time taken by A = 24 seconds

Time taken by B = 36 seconds

Time taken by C = 30 seconds

Formula used:

Time to meet = LCM of the times taken by A, B, and C

Calculation:

LCM of 24, 36, and 30 = 360 seconds

⇒ Time to meet = 360 seconds ÷ 60

⇒ Time to meet = 6 minutes

∴ The correct answer is 6 minutes.

Latest UP Police Constable Updates

Last updated on Jun 19, 2025

-> UP Police Constable 2025 Notification will be released for 19220 vacancies by June End 2025.

-> Check UPSC Prelims Result 2025, UPSC IFS Result 2025UPSC Prelims Cutoff 2025, UPSC Prelims Result 2025 Name Wise & Rollno. Wise

-> UPPRPB Constable application window is expected to open in June 2025.

-> UP Constable selection is based on Written Examination, Document Verification, Physical Measurements Test, and Physical Efficiency Test.

-> Candidates can attend the UP Police Constable and can check the UP Police Constable Previous Year Papers. Also, check UP Police Constable Exam Analysis.

Hot Links: teen patti casino apk teen patti master online teen patti master gold apk teen patti jodi