Subject

    Quantitative Aptitude

    Topic

    Number

    Two number are in the ratio 3 : 2. If their LCM is 240, the smaller of the two number is

    ক)
    100
    খ)
    80
    গ)
    60
    ঘ)
    50

    Explanation

    Formula: Product of two numbers = LCM × HCF Let the two number be 3x and 2x, where x is HCF because these two numbers are in ratio 3: 2 ⇒ 3 × 2 × x 2 = 240 × x ⇒ 6x = 240 ⇒ x = 40 Smallest number is 2 times the constant = 2 × 40 = 80

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