Practice Test Discussion

Q)

The product of two consecutive even numbers is 9408. Which is the greater of the two numbers?

[Andhra Bank (PO), 2008]


  • Explanation

    Let the first even number be 'x'

    Then, second even number is (x+2)

    And,   x(x+2)=9408

    or x²+2x-9408=0     [by splitting the middle term]

    ⇒  x²+98x-96x-9408=0

    ⇒  x(x-96)+98(x-96)=0

    ⇒  (x+98)+(x-96)=0

    ⇒ x=96

    ∴ The greater number is 98.

    Hence, Option B is correct.

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