ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

In set builder notation the set {0,1,2,........100} can be written as

• {x / xε B ∧ x ≤ 100} A
• {x / x ∈ W ∧ x < 101} B
• {x / x ∈ Z ∧ x < 101} C
• The set of first 100 whole numbers D

• 
  
  
  A
• 
  B
• 
  C
• 
  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

• x A
• 
  B
• y C
• 
  D

If 0 = R, thenthe additive inverse of a is

• 1/9 A
• ^1/-9 B
• a C
• -a D

Name the property used in 4 + 9 = 9 + 4

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

The multiplicative inverse of 4 is

• -4 A
• -1/4 B
• 1/4 C
• 1 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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

The additive inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 0 D

i³ =

• -1 A
• i B
• -i C
• 1 D

• A rational number A
• A irrational number B
• An even integer C
• A factor of 36 D

• Set of whole number A
• Rational Numbers B
• Complex numbers C
• Whole numbers D

The square roots of negative numbers is called

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

The set of natural no. is closed under

• multiplication A
• subtraction B
• difference C
• division D

In R, the multiplicative identity is

• 0 A
• 1 B
• -1 C
• None 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

• 
  A
• 
  B
• 
  C
• 
  D

The set of rationals numbers between 0 and I is

• Finite A
• Null set B
• Infinite C
• None of these D

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

In R, the multiplicative inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

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

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

• a,a = a² A
• a,a = 1 B
• a,a = 0 C
• None of these D

i⁹ =

• i² A
• -1 B
• 1 C
• i D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

3/2 is

• An irrational number A
• Whole number B
• A positive integer C
• A rational number D

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