Chapter 1 NUMBER SYSTEMS MCQs with solution
Chapter 1 NUMBER SYSTEMS
1)
is
A) Rational
B) Irrational
C) Integer
D) Prime
2)
Product 
is equal to
A) – 2
B) 2
C) 0
D) 4
3)
A) 
B) 
C) 
D) 
4)
If x < y, y < z then
A) x
> z
B) x
< z
C) x = z
D) none
of these
5)
is
A) 
B) 
C) 
D) 
6)
(- i )5 is
A) i
B) – 1
C) 1
D) – i
6)
The conjugate of – 6 + 3i
A) – 6 –
3i
B) – 6 +
3i
C) 6 +
3i
D) 6 –
3i
7)
The solution set of 5x + 8 = 0
when x ÃŽ N is
A) non
empty set
B) 
C) 
D) empty
set
8) 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
9)
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}
10)
The conjugate of a complex number 5i
A) – 5
B) 5i
C) – 5i
D) 5
11) 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
12)
The additive inverse of (-x, -y) is
A) (-x,
-y)
B) (x,
y)
C) (-x,
0)
D) (x,
-y)
13)
The property used in the equation 8
+ 0 = 8 is called
A) Commutative
B) Associative
C) Additive
Identity
D) Additive
Inverse
14) 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
15)
The inverse of an element ‘a’ under
addition is
A) 
B) - a
C) 1
D) 0
16)
The additive identity is
A) 0
B) – 1
C) 1
D) none
of these
17) The product of two conjugate complex
numbers is always a
A) Real
number
B) Complex
number
C) Irrational
number
D) Natural
number
18) The sum of two conjugate complex numbers
is always a
A) Real
number
B) Irrational
number
C) Complex
number
D) Natural
number
19)
A) 1
B) 5
C) ¾
D) 5/3
20)
If Z1, Z2 be
complex numbers then 
A) 
B)
C)
D) 
21)
If z = (a, b), then z –1
=
A) (a, -
b)
B) (-a ,
b)
C) 
D) 
22)
If z = a + bi, then 
A) a2
– b2
B) a2
+ b2
C) 
D) 
23)
If z1 and z2 are any two complex
numbers then
A) 
B) 
C) 
D) 
24)
(- i )15 =
A) 1
B) – 1
C) i
D) – i
25)
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)
26)
2x2 + 3y2 =
A) (2x +
3iy) (2x – 3iy)
B) 
C) (2x –
3y) (2x + 3y)
D) 
27) 
A) N
B) Q
C) Q/
D) none
28) 
is called _______
property.
A) symmetric
B) reflexive
C) transitive
D) none
29) Every recurring 
terminating decimal
represents
A) Q
B) Q/
C) R
D) none
30)
The complex No. (a + ib) can be
written as ______
A) (a, ib)
B) {a, b}
C) (a, b)
D) [a, b]
31) The imaginary part of the complex Nos. (b,
a) is ______
A) ia
B) b
C) a
D) none
32) 
A) i
B) – i
C) ±1
D) none
33) 
A) real
B) imaginary
C) neither type
34) 
A) (-1, -1)
B) (-1, 1)
C) (1, -1)
D) none
35) 
A) – 1
B) 1
C) 0
D) i
36) The magnitude of 
is _________
A) 5 + 2i
B) – 1
C) 1
D) none
37) If x = 0, then multiplicative inverse of x
is _______
A) 
B) – x
C) 1
D) 0
E) none
38) The real & imaginary part of 
is _____
A) 
B) 
C) 
D) none
39) The value of in = _______ where
n is an odd No.
A) – i
B) + i
C) ± i
D) none
40) If the area f triangle is 16, formed by
the points Z, Z+iZ and iZ in a complex plane, then
A) 16
B) 
C) 
D) none
41) if x + iy = 5 – 6i 2k, then
imaginary part (y) = _______
A) – 6
B) 6
C) 0
D) none
42) A real number is always
A) a natural no
B) positive integer
C) Rational number
D) complex number
43)
The property used in the equation
7.8 + (- 7.8) = 0 is
A) Commutative
B) Associative
C) Additive
Identity
D) Additive
inverse
Chapter
1 NUMBER SYSTEMS
1) B
2) A
3) A
4)
B
5) C
6) D
6) A
7) D
8) B
9) C
10) C
11) C
12) B
13) C
14) B
15) B
16) A
17) A
18) A
19)
A
20) B
21) C
22) D
23) B
24) C
25) A
26) B
27) C
28) A
29) A
30) C
31) C
32) A
33) B
Chapter 1 NUMBER SYSTEMS
1)
is
A) Rational
B) Irrational
C) Integer
D) Prime
2)
Product is equal to
A) – 2
B) 2
C) 0
D) 4
3)
A)
B)
C)
D)
4)
If x < y, y < z then
A) x
> z
B) x
< z
C) x = z
D) none
of these
5)
is
A)
B)
C)
D)
6)
(- i )5 is
A) i
B) – 1
C) 1
D) – i
6)
The conjugate of – 6 + 3i
A) – 6 –
3i
B) – 6 +
3i
C) 6 +
3i
D) 6 –
3i
7)
The solution set of 5x + 8 = 0
when x ÃŽ N is
A) non
empty set
B)
C)
D) empty
set
8) 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
9)
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}
10)
The conjugate of a complex number 5i
A) – 5
B) 5i
C) – 5i
D) 5
11) 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
12)
The additive inverse of (-x, -y) is
A) (-x,
-y)
B) (x,
y)
C) (-x,
0)
D) (x,
-y)
13)
The property used in the equation 8
+ 0 = 8 is called
A) Commutative
B) Associative
C) Additive
Identity
D) Additive
Inverse
14) 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
15)
The inverse of an element ‘a’ under
addition is
A)
B) - a
C) 1
D) 0
16)
The additive identity is
A) 0
B) – 1
C) 1
D) none
of these
17) The product of two conjugate complex
numbers is always a
A) Real
number
B) Complex
number
C) Irrational
number
D) Natural
number
18) The sum of two conjugate complex numbers
is always a
A) Real
number
B) Irrational
number
C) Complex
number
D) Natural
number
19)
A) 1
B) 5
C) ¾
D) 5/3
20)
If Z1, Z2 be
complex numbers then
A)
B)
C)
D)
21)
If z = (a, b), then z –1
=
A) (a, -
b)
B) (-a ,
b)
C)
D)
22)
If z = a + bi, then
A) a2
– b2
B) a2
+ b2
C)
D)
23)
If z1 and z2 are any two complex
numbers then
A)
B)
C)
D)
24)
(- i )15 =
A) 1
B) – 1
C) i
D) – i
25)
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)
26)
2x2 + 3y2 =
A) (2x +
3iy) (2x – 3iy)
B)
C) (2x –
3y) (2x + 3y)
D)
27)
A) N
B) Q
C) Q/
D) none
28) is called _______
property.
A) symmetric
B) reflexive
C) transitive
D) none
29) Every recurring terminating decimal
represents
A) Q
B) Q/
C) R
D) none
30)
The complex No. (a + ib) can be
written as ______
A) (a, ib)
B) {a, b}
C) (a, b)
D) [a, b]
31) The imaginary part of the complex Nos. (b,
a) is ______
A) ia
B) b
C) a
D) none
32)
A) i
B) – i
C) ±1
D) none
33)
A) real
B) imaginary
C) neither type
34)
A) (-1, -1)
B) (-1, 1)
C) (1, -1)
D) none
35)
A) – 1
B) 1
C) 0
D) i
36) The magnitude of is _________
A) 5 + 2i
B) – 1
C) 1
D) none
37) If x = 0, then multiplicative inverse of x
is _______
A)
B) – x
C) 1
D) 0
E) none
38) The real & imaginary part of is _____
A)
B)
C)
D) none
39) The value of in = _______ where
n is an odd No.
A) – i
B) + i
C) ± i
D) none
40) If the area f triangle is 16, formed by
the points Z, Z+iZ and iZ in a complex plane, then
A) 16
B)
C)
D) none
41) if x + iy = 5 – 6i 2k, then
imaginary part (y) = _______
A) – 6
B) 6
C) 0
D) none
42) A real number is always
A) a natural no
B) positive integer
C) Rational number
D) complex number
43)
The property used in the equation
7.8 + (- 7.8) = 0 is
A) Commutative
B) Associative
C) Additive
Identity
D) Additive
inverse
Chapter
1 NUMBER SYSTEMS
1) B
2) A
3) A
4)
B
5) C
6) D
6) A
7) D
8) B
9) C
10) C
11) C
12) B
13) C
14) B
15) B
16) A
17) A
18) A
19)
A
20) B
21) C
22) D
23) B
24) C
25) A
26) B
27) C
28) A
29) A
30) C
31) C
32) A
33) B
35) B
36) C
37) D
38) C
39) D
40) C
41) C
42) C
43) D
35) B
36) C
37) D
38) C
39) D
40) C
41) C
42) C
43) D
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