hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    Two numbers are in the ratio of 11: 13. If their HCF is 7, find the numbers.
    Question

    Two numbers are in the ratio of 11: 13. If their HCF is 7, find the numbers.

    A.

    63 and 70

    B.

    77 and 91

    C.

    70 and 80

    D.

    21 and 28

    Correct option is B

    Given:
    Ratio of two numbers = 11 : 13
    HCF = 7
    Concept Used:
    HCF of two numbers is the highest common factor of both of them. 
    Solution:
    Let the numbers be 11 x and 13x.
    Then, H.C.F. = x
    As we have given, x = 7
    First number is,
    => 11x
    => 7 × 11 = 77
    Second number is,
    => 13x
    => 13 × 7 = 91

    Free Tests

    Free
    Must Attempt

    SSC CGL T-I Similar Paper (Held on 12 Sep 2025 S2)

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon200 Marks
    • timerIcon60 Mins
    languageIcon English
    Free
    Must Attempt

    SSC CGL T-I GA Section Test 01

    languageIcon English
    • pdpQsnIcon25 Questions
    • pdpsheetsIcon50 Marks
    • timerIcon15 Mins
    languageIcon English
    Free
    Must Attempt

    SSC CGL T-I Full Mock Test 1 (Exam Level)

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon200 Marks
    • timerIcon60 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
    383k+ students have already unlocked exclusive benefits with Test Prime!
    Our Plans
    Monthsup-arrow