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Arithmetic Aptitude :: Problems on Numbers

Problems on Numbers - Important Formulas

Problems on Numbers - General Questions -1
Problems on Numbers - Data sufficiency 1
Problems on Numbers - Data sufficiency 2
Problems on Numbers - [data sufficiency 1]

  1. Some Basic Formulae:

    1. (a + b)(a - b) = (a2 - b2)

    2. (a + b)2 = (a2 + b2 + 2ab)

    3. (a - b)2 = (a2 + b2 - 2ab)

    4. (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)

    5. (a3 + b3) = (a + b)(a2 - ab + b2)

    6. (a3 - b3) = (a - b)(a2 + ab + b2)

    7. (a3 + b3 + c3 - 3abc) = (a + b + c)(a2 + b2 + c2 - ab - bc - ac)

    8. When a + b + c = 0, then a3 + b3 + c3 = 3abc.

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