ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

What is the conjugate of -7 -2i?

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

• A rational number A
• An irrational number B
• An odd number C
• A prime number D

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• √3 i A
• √7 B
• -2-i C
• √5 D

• (a + b)c = a . c + bc A
• a + b = b + a B
• (a + b) + c = a + (b + c) C
• a(b+ c) = ab + ac D

• 
  A
• 
  B
• 
  C
• 
  D

The square roots of negative numbers is called

• Real no A
• Complex no B
• Positive no C
• Negative no D

The set { 1 , -1} is closed w.r.t.

• Addition A
• Multiplications B
• Subtraction C
• None of these D

The additive identity of real number is

• 1 A
• 2 B
• 1/2 C
• 0 D

If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

• (ac,bd) A
• (ac+bd, ad-bc) B
• (ac-bd , ad+bc) C
• (ac-bd , ad-bc) 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

What is the conjugate of -6 -i?

• -6 +i A
• 6+i B
• -6 -i C
• 6 -i D

i² =

• 1 A
• 2 B
• -1 C
• 0 D

• Associative property of addition A
• Associative property of multiplication B
• Commutative property of addition C
• Commutative property of multiplication 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

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

Some of two real numbers is also a real number , this property is called:

• Commutative property w.r.t addition A
• Closure property w.r.t. addition B
• Associative property w.r.t. addition C
• Distributive property w.r.t addition 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

√(-1b) =?

• b i A
• -i b B
• b2 C
• i√b D

Rational number is a number which can be written as a terminating decimal fraction or a

• Non-terminating decimal fraction A
• Non-recurring B
• Recurring decimal fraction C
• a, b and c D

a.a^-1= a^-1.a = 1 is a

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

i⁹ =

• i² A
• -1 B
• 1 C
• i D

The multiplicative inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 1 D

The additive inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

i¹⁰¹ =

• i A
• i² B
• -i C
• -1 D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D