Practice Test Discussion

Q)

The product of two consecutive even numbers is 3248. Which is the larger number?

[IBPS RRB (P0), 2013]


  • Explanation

    Let the one even number be x'

    Then, another even number is (x+2)

    Now, x(x+2)=3248

    or x²+2x-3248=0

    ⇒ x²+58x-56x-3248=0    (by splitting the middle term)

    ⇒ x(x-56)+58(x-56)=0

    ⇒ (x-58)(x-56)=0

    ⇒ x=56

    ∴ Larger nummber is x+2 or 56+2=58

    Hence, Option A is correct.

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