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 ÃŽ N is
A) non empty set
B) -8/5
C) 8/5
D) empty set
Answer: D
7) For all x, y, z ÃŽ 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 ÃŽ 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