ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

In polar form of complex number r =

• 
  A
• 
  B
• 
  C
• 
  D

Union of the sets of rational and irrational numbers is called 6th set of

• Natural numbers A
• Real numbers B
• Whole numbers C
• Prime numbers D

Which of the following has the same value as i¹¹³?

• i A
• -1 B
• -i C
• 1 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

• real part of z A
• imaginary part of z B
• conjugate of z C
• modulus of z D

O is ______

• A positive integer A
• A negative integer B
• A natural number C
• An integer D

If z=(x,y) then z has no multiplicative inverse when

• x ≠ 0, y = 0 A
• x = 0, y = 0 B
• x = 0, y ≠ 0 C
• None of these D

If P is a whole number greater than 1, which has only P and I are factors. Then P is called

• Wholw number A
• Prime number B
• Even number C
• Odd number D

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

• 
  A
• 
  B
• 
  C
• 
  D

i⁹ =

• i² A
• -1 B
• 1 C
• i D

14 is not a

• Prime number A
• Whole number B
• Even number C
• Real number D

√2 +√3 +√5) = (√2 +√3 +√5: this property is called

• associative property w.r.t addition A
• commutative property B
• Closure property w.r.t addition C
• Additive identity D

(7, 9) + (3, -5) =

• (4, 4) A
• (10, 4) B
• (9, -5) C
• (7, 3) D

For each real number, there is a number which is its

• Negative A
• Possitive B
• Opposite C
• Similar D

The equation |x + 4| = x has solution

• x = -2 A
• x = 2 B
• x = -4 C
• x = 4 D

6 is

• A prime integar A
• An irrational number B
• A rational number C
• An odd integer 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

• x A
• 
  B
• y C
• 
  D

π is the ration of

• Area of a circle to its diameter A
• Area of a circle to its radius B
• Circumference of a circle to its diameter C
• Circumference of circle to its radius D

Every real number is

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

The solution set of the equation |3x + 2| = 5 is

• 
  A
• 
  B
• 
  C
• 
  D

• Associative property of addition A
• Commutative property of addition B
• Distributive property C
• Additive identity D

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

• 
  A
• 
  B
• 
  C
• 
  D

• Rational A
• Irrational B
• Even C
• Odd D

If 4 > b or a < b than a = b is a

• Additive property A
• Transitive property B
• Trichotomy property of inequality C
• None of above D

∀x,y∈R and x> 0 , y>0, if x > y

• 
  A
• 
  B
• 
  C
• None of these D

i² = 

• 1 A
• 2 B
• -1 C
• 0 D

In (x +iy) y is called as

• Imaginary part A
• Complex number B
• Real part C
• None of above D

∀x,y∈ R and x < 0, y < 0, which one is true 

• xy < o A
• xy = o B
• xy > o C
• None of these D