ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

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

6 is

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

If in a set of real no a is additive identity then

• a+a = 2a A
• a+a = 1 B
• a+a = 0 C
• None of these 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

The value of i⁴ⁿ⁺¹

• 1 A
• -1 B
• i C
• i² D

What is the conjugate of -7 -2i ?

• -7 + 2i A
• 7 +2i B
• 7 -2i C
• √53 D

(a^-1)^-1=

• a^-1 A
• a B
• -a C
• None of above D

• 
  A
• 
  B
• 
  C
• 
  D

• A prime number A
• An integer B
• A whole number C
• An irrational number D

• 
  A
• 
  B
• 
  C
• 
  D

√2 is a number

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

The additive inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

∀x,y∈R and x> 0 , y>0, if x > y

• 
  A
• 
  B
• 
  C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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

(√3+√5)+√7 = √3 +(√5 +√7) property used in above is

• Commutative property of addition A
• Closure property of addition B
• Additive inverse C
• Associative property w.r.t to adition D

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

• 
  A
• 
  B
• 
  C
• 
  D

(a +bi) -c (c +di) =

• (a +b) = (c +d) A
• (a +c) + i(b +d) B
• (a -c) + (c -d)i C
• (a -c) +(b -d) i 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

• Associate law of addition A
• Commutative law of addition B
• Additive identity C
• Closure law of addition D

• Principle of equality of fractions A
• Rule for product of fractions B
• Golden rule for fractions C
• Rule for quotient of fractions D

• Trichotomy property A
• Additive property of inequality B
• Transitive property C
• Multiplicative property D

If Z = (1,2), then Z^-1 =?

• (0.2, 0.4) A
• (-0.2 ,0.4) B
• (0.2,-0.4) C
• (-0.2,-0.4) D

O is ______

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

• Commutative law of multiplication A
• Closure law of multiplication B
• Associative law of multiplication C
• Multiplication identity D

What is the conjugate of -7 -2i?

• -7 + 2i A
• 7 + 2i B
• 7 -2i C
• None of these D

In (x + iy) x is the known as

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