hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    Four runners started running simultaneously from a point on a circular track. They took 280 seconds, 350 seconds, 420 seconds and 560 seconds, respect
    Question

    Four runners started running simultaneously from a point on a circular track. They took 280 seconds, 350 seconds, 420 seconds and 560 seconds, respectively, to complete one round. After how much time (in seconds) do they meet at the starting point for the first time?

    A.

    5200

    B.

    3600

    C.

    2400

    D.

    8400

    Correct option is D

    Given:

    Time taken by four runners to complete one round:

    280 sec, 350 sec, 420 sec, 560 sec

    Solution:

    Prime factorization:

    280=23×5×7 350=2×52×7 420=22×3×5×7 560=24×5×7280 = 2^3 \times 5 \times 7 \\ \ \\ 350 = 2 \times 5^2 \times 7 \\ \ \\ 420 = 2^2 \times 3 \times 5 \times 7 \\ \ \\ 560 = 2^4 \times 5 \times 7

    LCM = 24×3×52×7 2^4 \times 3 \times 5^2 \times 7 = 8400 sec

    Free Tests

    Free
    Must Attempt

    SSC GD PYP (Held on 4 Feb 2025 S1)

    languageIcon English
    • pdpQsnIcon80 Questions
    • pdpsheetsIcon160 Marks
    • timerIcon60 Mins
    languageIcon English
    Free
    Must Attempt

    SSC GD Constable Exam Day Based Mock 1

    languageIcon English
    • pdpQsnIcon80 Questions
    • pdpsheetsIcon160 Marks
    • timerIcon60 Mins
    languageIcon English
    Free
    Must Attempt

    Mathematics Section Test 1

    languageIcon English
    • pdpQsnIcon20 Questions
    • pdpsheetsIcon40 Marks
    • timerIcon25 Mins
    languageIcon English
    test-prime-package

    Access ‘SSC GD’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    446k+ students have already unlocked exclusive benefits with Test Prime!
    Our Plans
    Monthsup-arrow