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Arithmetic Aptitude :: Linear Equations

  1.  If a pair of linear equations is consistent, then the lines will be

  2. A.

    parallel

    B.

    always coincident

    C.

    always intersecting

    D.

    intersecting or coincident


  3.  The pair of equations y = 0 and y = –7 has

  4. A.

    one solution

    B.

    two solutions

    C.

    infinitely many solutions

    D.

    no solution


  5.  The pair of equations x = a and y = b graphically represents lines which are

  6. A.

    parallel

    B.

    coincident

    C.

    intersecting at (a, b)

    D.

    intersecting at (b, a)


  7.  For what value of k, do the equations 3x – y + 8 = 0 and 6x – ky = –16 represent coincident lines?

  8. A.

    1/2

    B.

    - 1/2

    C.

    –2

    D.

    2


  9.  If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then the value of k is

  10. A.

    2/5

    B.

    3/2

    C.

    –5/4

    D.

    15/4


  11.  The value of c for which the pair of equations cx – y = 2 and 6x – 2y = 3 will have infinitely many solutions is

  12. A.

    3

    B.

    – 3

    C.

    –12

    D.

    no value


  13.  One equation of a pair of dependent linear equations is –5x + 7y = 2. The second equation can be

  14. A.

    10x – 14y = –4

    B.

    10x + 14y + 4 = 0

    C.

    –10x + 14y + 4 = 0

    D.

    –10x – 14y + 4 = 0


  15.  A pair of linear equations which has a unique solution x = 2, y = –3 is

  16. A.

     x + y = –1 
    2x – 3y = –5

    B.

     2x + 5y = –11
    4x + 10y = –22

    C.

     2x – y = 1 
    3x + 2y = 0

    D.

    x – 4y –14 = 0
    5x – y – 13 = 0


  17.  If x = a, y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b are, respectively

  18. A.

    –1 and –3

    B.

    3 and 1

    C.

    3 and 5

    D.

    5 and 3


  19.  Solve simultaneous equations 13x - 6y = 20, 7x + 4y = 18

  20. A.

    x = 2, y = 1

    B.

    x = 6, y = 1

    C.

    x = 2, y = 4

    D.

    x = 4, y = 8