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              Chapter 1             NUMBER SYSTEMS


              1)            radical 3 is
              A)      Rational
              B)      Irrational
              C)      Integer
              D)      Prime
              Answer:                 B

              2)            Product radical -2*radical -2 is equal to

              A)      – 2
              B)      2
              C)      0
              D)      4
              Answer:                 A


              3)            If x < y, y < z then

              A)      x > z
              B)      x < z
              C)      x = z
              D)      none of these
              Answer:                 B


              4)            (- i )5 is

              A)      i
              B)      – 1
              C)      1
              D)      – i
              Answer:                 D
              5)            The conjugate of – 6 + 3i
              A)      – 6 – 3i
              B)      – 6 + 3i
              C)      6 + 3i
              D)      6 – 3i
              Answer:                 A
              6)            The solution set of 5x + 8 = 0 when x Î N is

              A)      non empty set
              B)      -8/5
              C)      8/5
              D)      empty set
              Answer:                 D

              7)         For all x, y, z Î R, if (x y ) z = x (yz) then this property is called

              A)      Commutative property under multiplication
              B)      Associative under multiplication
              C)      Distributive under multiplication
              D)      Commutative under addition
              Answer:                 B

              8)            The additive inverse of a complex number x + yi

              A)      x – iy
              B)      x + iy
              C)      – x – iy
              D)      {x/x2 + y2, - y /x2 + y2}
              Answer:                 C

              9)          The conjugate of a complex number 5i

              A)      – 5
              B)      5i
              C)      – 5i
              D)      5
              Answer:                 C

              10)          The property used in this equation 3 x 7 = 7 x 3 is called

              A)      Closure law
              B)      Commutative law for addition
              C)      Commutative property w.r.t multiplication
              D)      Identity
              Answer:                 C

              11)          The additive inverse of (-x, -y) is

              A)      (-x, -y)
              B)      (x, y)
              C)      (-x, 0)
              D)      (x, -y)
              Answer:                 B

              12)          The property used in the equation 8 + 0 = 8 is called
              A)      Commutative
              B)      Associative
              C)      Additive Identity
              D)      Additive Inverse
              Answer:                 C



              13)          For all a, b, c Î R, if (a + b) + c = a + (b + c) then the property is called

              A)      Commutative under addition
              B)      Associative w.r.t addition
              C)      Distributive under addition
              D)      None of these
              Answer:                 B

              14)          The inverse of an element ‘a’ under addition is
                             
                              A) 1/a
              B)      - a
              C)      1
              D)      0
              Answer:                 B

              15)          The additive identity is

              A)      0
              B)      – 1
              C)      1
              D)      none of these
              Answer:                 A

              16)          The product of two conjugate complex numbers is always a

              A)      Real number
              B)      Complex number
              C)      Irrational number
              D)      Natural number
              Answer:                 A

              17)          The sum of two conjugate complex numbers is always a

              A)      Real number
              B)      Irrational number
              C)      Complex number
              D)      Natural number
              Answer:                 A




              18)          If z = (a, b), then z –1 =

              A)      (a, - b)
              B)      (-a , b)
              C)      (a/a2+b2,-b/a2+b2)
              D)       (a/a2+b2,b/a2+b2)
              Answer:                 C

              19)          If z = a + bi, then IZI=?

              A)      a2 – b2
              B)      a2 + b2
              C)      radical a2 +b2

              Answer:                 c



              20)          (- i )15 =

              A)      1
              B)      – 1
              C)      i
              D)      – i
              Answer:                 C

              21)          If z1 = (a, b) and z2 = (c, d) then z1z2 =

              A)      (ac – bd,  ad + bc)
              B)      (ac + bd,  cd – bc)
              C)      (ad + bc,  ac – bd)
              D)      (ad – bd,  ac + bd)
              Answer:                 A





              22)          The complex No. (a + ib) can be written as ______

                              A) (a, ib)
                              B) {a, b}
                              C) (a, b)
                              D) [a, b]
              Answer:                 C

              23)          The imaginary part of the complex Nos. (b, a) is ______

                              A) ia
                              B) b
                              C) a
                              D) none
              Answer:                 C


              24)          If x = 0, then multiplicative inverse of x is _______

                              A) x
                              B) – x
                              C) 1
                              D) 0
                              E) none
              Answer:                 e



              25)          The value of in = _______ where n is an odd No.

                              A) – i
                              B) + i
                              C) ± i
                              D) none
              Answer:                 D



              26)          if x + iy = 5 – 6i 2k, then imaginary part (y) = _______

                              A) – 6
                              B) 6
                              C) 0
                              D) none
              Answer:                 C

              27)          A real number is always

                              A) a natural no
                              B) positive integer
                              C) Rational number
                              D) complex number
              Answer:                 C

              28)          The property used in the equation 7.8 + (- 7.8) = 0 is

              A)      Commutative
              B)      Associative
              C)      Additive Identity
              D)      Additive inverse
              Answer:                 D



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