ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 1 (Number System)

• real number A
• complex number B
• rational number C
• irrational number D

Multiplicative inverse of "1" is

• 0 A
• ±1 B
• 1 C
• {0,1} D

• 
  A
• 
  B
• 
  C
• 
  D

Every real number is

• A complex number A
• A rational number B
• A natural number C
• A prime number D

if Z1 = 1+i, Z2= 2+3i, then |Z2 -Z1| =

• √3 i A
• √7 B
• -2-i C
• √5 D

The set {1,2,3,4......} is called

• Set of natural numbers A
• Set of whole numbers B
• Set of rational number C
• Set of irrational numbers D

The conjugate of √5 i is

• √5 A
• -√5 i B
• i C
• 5i D

If Z₁ = 1+ i, Z₂ = 2+3i , then |Z₁ -Z₂| =?

• √5 A
• √7 B
• -1-2i C
• √3 D

In R, the additive inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

√x = ______ if is a prime number

• Rational no A
• Natural no B
• Irrational no C
• Complex no D

i =

• √1 A
• √2 B
• √-2 C
• √-1 D

• 
  A
• 
  B
• 
  C
• 
  D

The decimal fraction in which we have finite number of digits in its decimal part is called.

• recurring decimal fraction A
• Non terminating faction B
• Non recurring fraction C
• terminating decimal fraction D

Geometrically the modulus of a complex number represents its distance from the

• Point (1,0) A
• Point (0,1) B
• Point (1,1) C
• Point (0,0) D

What is the conjugate of -6 -i?

• -6 +i A
• 6+i B
• -6 -i C
• 6 -i D

3/4 is ______

• An odd number A
• An even number B
• A natural number C
• A rational number D

• 
  A
• 
  B
• 
  C
• 
  D

• Closure law of addition A
• Associative law of addition B
• Additive inverse C
• Additive identity D

The value of i⁴ⁿ⁺¹

• 1 A
• -1 B
• i C
• i² D

∀x, y ∈ R, either x = y or x > y or x < y is

• Transitive property A
• Reflexive property B
• Trichotomy property C
• None of these D

In R the left cancellation property w.r.t addition is

• 
  A
• 
  B
• 
  C
• 
  D

The value of x, and y, when (x + iy)²= 5 + 4i

• X = 2, y = -1 A
• X = -2, y=1 B
• X = 2, y = -1 C
• X = 2, y = 2 D

• 
  A
• 
  B
• 
  C
• 
  D

• Closure law of addition A
• Closure law of multiplication B
• Commutative law of addition C
• Commutative law of multiplication D

QUQ'

• 
  A
• 
  B
• 
  C
• 
  D

The polar form of complex number x ≠ I y =

• r cos θ+ r sin θ A
• r cos θ+ is sin θ B
• cos θ+ r sin θ C
• i cos θ+ i sin θ D

Every irrational number is

• A real number A
• A prime number B
• A natural number C
• An integer D

Such fraction which can not be written in the form ofp⁄q where p,q and q≠ 0,such fractions are called.

• Fractinal numbers A
• Rational Numbers B
• Even Numbers C
• Whole Numbers D

In R the number of identity element w.r.t '+' is

• One A
• Two B
• Three C
• Four D

The identity element with respect to subtraction is

• 0 A
• -1 B
• 0 and 1 C
• None of thes D