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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• z is purely imaginary A
• a is any complex number B
• z is real C
• None of these D

• 1 A
• -1 B
• 
  C
• 
  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

π is ______

• A complex number A
• A rational number B
• A natural number C
• An irrational number D

(a^-1)^-1=

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

i¹⁰¹ =

• i A
• i² B
• -i C
• -1 D

• 
  A
• 
  B
• 
  C
• 
  D

The additive inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 0 D

i =

• √1 A
• √2 B
• √-2 C
• √-1 D

The set of positive integers, 0 and negative integers is known as the set of

• Natural numbers A
• Rational numbers B
• All integers C
• Irrational numbers 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

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

• √5 A
• √7 B
• -1-2i C
• √3 D

For any real numbers x,y,xy=o ⇒

• x ≠ 0 ∧ y ≠ 0 A
• x = 0 ∨ y = 0 B
• x = 0 C
• y = 0 D

• 
  A
• 
  B
• 
  C
• 
  D

If ∀a,b ε R,then a +b  ε  R is a property

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

In R, the additive identity is

• 0 A
• 1 B
• -1 C
• None D

(a-1)-1 =

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

Every irrational number is

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

Multiplicative inverse of "1" is

• 0 A
• ±1 B
• 1 C
• {0,1} D

In (x + iy), y is called as

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

What is the conjugate of -6 -i

• -6 +i A
• 6 + i B
• -6 -i C
• 6 -i 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

The multiplicative inverse of 4 is

• -4 A
• -1/4 B
• 1/4 C
• 1 D

Every whole number is

• A real number A
• An irrational number B
• A prime number C
• A negative integer D

0.25 is ______

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

• 15 A
• 15 i B
• -15 i C
• -15 D

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