ECAT (Pre-Eng) Mathematics For Chapter 1 Number System

• 
  A
• 
  B
• 
  C
• 
  D

∀ z ∈ C, multipliucative is

• (1,1) A
• (1,0) B
• (0,1) C
• None of these D

Gooch crucible is made of :

• Brass. A
• Porcelain. B
• Bronze. C
• Gold. D

• Reflexive property A
• Symmetric property B
• Transitive property C
• Additive property 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

If a and b are real numbers then a+b is also real number this law is called

• associative law of addition A
• closure law of addition B
• Distributive law of addition C
• Commutative law of addition 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

• Principle of equality of Fractions A
• Rule for product of fraction B
• Golden rule of fraction C
• Rule of quotient of Fraction D

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

• 1 A
• -i B
• i C
• 0 D

i¹⁰¹ =

• i A
• i² B
• -i C
• -1 D

i³ =

• -1 A
• i B
• -i C
• 1 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

• 
  A
• 
  B
• 
  C
• 
  D

• Symmetric property A
• Cancellation property w.r.t. multiplication B
• Reflexive property C
• Transitive property D

The set of rational number is represented by

• W A
• R B
• Q' C
• Q
  
  
  D

(a, b) + (-a, -b) =

• (0,0) A
• (a, b) B
• (-a, -b) C
• (1, 1) D

Every whole number is

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

• N A
• r B
• 2r C
• π D

• 
  A
• 
  B
• 
  C
• 
  D

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

a >b ⇒a +c >b +c is known as

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

The additive inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist 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

• 
  A
• 
  B
• 
  C
• 
  D

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

i =

• √1 A
• √2 B
• √-2 C
• √-1 D

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

• 
  A
• 
  B
• 
  C
• 
  D

Every irrational number is

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

Total number of subsets that can be formed out of the set {a,b,c} is

• 1 A
• 4 B
• 8 C
• 12 D