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Arithmetic Aptitude :: Algebra Problems

  1.  Which equation is equivalent to 5x −2 (7 x + = 1) 14 x?

  2. A.

    −9x + 2=14 x

    B.

    −9x + 1=14 x

    C.

    −9x − 2 =14 x

    D.

    12x − 1 =14 x


  3.  Answer of factorization of expression 4z(3a + 2b - 4c) + (3a + 2b - 4c) is

  4. A.

    (4z - 1)(3a - 2b -4c)

    B.

    (4z + 1)(3a + 2b -4c)

    C.

    (4z + 1) - (3a + 2b -4c)

    D.

    (4z + 1) + (3a + 2b -4c)


  5.  By factorizing expression 2bx + 4by - 3ax -6ay, answer must be

  6. A.

    (2b - 3a)(x + 2y)

    B.

    (2b + 3a)(x - 2y)

    C.

    (2a- 3b)(3x - 2y)

    D.

    (2a + 3b)(2x - 4y)


  7.  If -4x + 5y is subtracted from 3x + 2y then answer will be

  8. A.

    x - 3y

    B.

    x + 3y

    C.

    2x + 5y

    D.

    3x + 6y


  9.  On solving algebraic expression -38b⁄2, answer will be

  10. A.

    19b

    B.

    −19b

    C.

    56b

    D.

    −56b


  11.  Simplify 15ax² ⁄ 5x

  12. A.

    3ax

    B.

    3ax²

    C.

    5ax

    D.

    5ax²


  13.  Simplify 5⁄2 ÷ 1⁄x

  14. A.

    2x ⁄ 5

    B.

    5x ⁄ 2

    C.

    5 ⁄ 2x

    D.

    2 ⁄ 5x


  15.  Simplify a(c - b) - b(a - c)

  16. A.

    ac + bc

    B.

    ac - 2ab - bc

    C.

    ac - 2ab + bc

    D.

    ac + 2ab + bc


  17.  Expand and simplfy (x - 5)(x + 4)

  18. A.

    x² - x - 1

    B.

    x² - x - 9

    C.

    x² - x - 20

    D.

    x² + 9x - 20


  19.  Expand and simplfy (x - y)(x + y)

  20. A.

    x² - y²

    B.

    x² + y²

    C.

    x²- 2xy + y²

    D.

    x² + 2xy + y²