ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

Every prime number is also

• Rational number A
• Even number B
• Irrational number C
• Multiple of two numbers D

The order axioms are satisfied by set of

• C A
• C and R B
• R C
• None of these 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.a^-1= a^-1.a = 1 is a

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

The set {0,-1} hold closure property under

• Addition A
• Both a & c B
• Multiplication C
• None of these D

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

The additive inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

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

Which element is the additive inverse of (a, b) in Complex numbers?

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

• 15 A
• 15 i B
• -15 i C
• -15 D

• 
  A
• 
  B
• 
  C
• 
  D

The additive inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

√x = ______ if is a prime number

• Rational no A
• Natural no B
• Irrational no C
• Complex no D

1.4142135... is ______

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

The additive identity of real number is

• 1 A
• 2 B
• 1/2 C
• 0 D

2.333....is a

• Irrational no A
• Complex no B
• Rational no C
• None of these D

The square root of every incomplete square is an

• Rational numbers A
• Even numbers B
• odd numbers C
• Irrational numbers D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

Multiplicative inverse of 0 is

• 0 A
• 1 B
• ±1 C
• Does not exist D

• 
  A
• 
  B
• 
  C
• 
  D

1/3 is a decimal

• Recurring A
• Terminating B
• Non-terminating C
• None of the above D

Additive inverse of - a - b is

• a A
• -a + b B
• a - b C
• a + b 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

Decimal part of irrational number is

• Terminating A
• Repeating only B
• Neither repeating nor terminating C
• Repeating and terminating D

i¹⁰¹ =

• i A
• i² B
• -i C
• -1 D