Number Systems MCQs
MCQ's from Chapter 1 Number systems Mathematics book 1 for FSC pre engineering and pre medical for Board of Intermediate and Secondary Education. Also For Entry Test Preparation for UET, NUST, PIEAS, GIKI, AIR, FAST, WAH University, UHS, other engineering Universities and Medical Colleges.
4) If x < y, y < z then
A) x > z
B) x < z
C) x = z
D) none of these
Answer: B
6) (- i )5 is
A) i
B) – 1
C) 1
D) – i
Answer: D
6) The conjugate of – 6 + 3i
A) – 6 – 3i
B) – 6 + 3i
C) 6 + 3i
D) 6 – 3i
Answer: A
7) The solution set of 5x + 8 = 0 when x Î N is
A) non empty set
B)
C)
D) empty set
Answer: D
8) 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
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}
Answer: C
10) The conjugate of a complex number 5i
A) – 5
B) 5i
C) – 5i
D) 5
Answer: C
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
Answer: C
12) The additive inverse of (-x, -y) is
A) (-x, -y)
B) (x, y)
C) (-x, 0)
D) (x, -y)
Answer: B
13) The property used in the equation 8 + 0 = 8 is called
A) Commutative
B) Associative
C) Additive Identity
D) Additive Inverse
Answer: C
14) 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
15) The inverse of an element ‘a’ under addition is
A)
B) - a
C) 1
D) 0
Answer: B
16) The additive identity is
A) 0
B) – 1
C) 1
D) none of these
Answer: A
17) The product of two conjugate complex numbers is always a
A) Real number
B) Complex number
C) Irrational number
D) Natural number
Answer: A
18) The sum of two conjugate complex numbers is always a
A) Real number
B) Irrational number
C) Complex number
D) Natural number
Answer: A
19)
A) 1
B) 5
C) ¾
D) 5/3
Answer: A
20) If Z1, Z2 be complex numbers then
A)
B)
C)
D)
Answer: B
21) If z = (a, b), then z –1 =
A) (a, - b)
B) (-a , b)
C)
D)
Answer: C
24) (- i )15 =
A) 1
B) – 1
C) i
D) – i
Answer: C
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)
Answer: A
26) 2x2 + 3y2 =
A) (2x + 3iy) (2x – 3iy)
B)
C) (2x – 3y) (2x + 3y)
D)
Answer: B
27)
A) N
B) Q
C) Q/
D) none
Answer: C
28) is called _______ property.
A) symmetric
B) reflexive
C) transitive
D) none
Answer: A
29) Every recurring terminating decimal represents
A) Q
B) Q/
C) R
D) none
Answer: A
30) The complex No. (a + ib) can be written as ______
A) (a, ib)
B) {a, b}
C) (a, b)
D) [a, b]
Answer: C
31) The imaginary part of the complex Nos. (b, a) is ______
A) ia
B) b
C) a
D) none
Answer: C
Answer: B
36) The magnitude of is _________
A) 5 + 2i
B) – 1
C) 1
D) none
Answer: C
37) If x = 0, then multiplicative inverse of x is _______
A)
B) – x
C) 1
D) 0
E) none
Answer: D
38) The real & imaginary part of is _____
A)
B)
C)
D) none
Answer: C
39) The value of in = _______ where n is an odd No.
A) – i
B) + i
C) ± i
D) none
Answer: D
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
Answer: C
41) if x + iy = 5 – 6i 2k, then imaginary part (y) = _______
A) – 6
B) 6
C) 0
D) none
Answer: C
42) A real number is always
A) a natural no
B) positive integer
C) Rational number
D) complex number
Answer: C
43) 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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