ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

The additive inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 0 D

Additive inverse of - a - b is

• a A
• -a + b B
• a - b C
• a + b D

Every real number is

• A complex number A
• A rational number B
• A natural number C
• A prime number D

A non-terminating, non-recurring decimal represent

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• z is purely imaginary A
• a is any complex number B
• z is real 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

Name the property used in a (b-c) = ab - ac

• commutative property of multiplication A
• distributive property of multiplication B
• associative property of multiplication C
• multiplicative inverse D

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

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

• 
  A
• 
  B
• 
  C
• 
  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

Which of the following has the same value as i¹¹³?

• i A
• -1 B
• -i C
• 1 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

1/3 is ______

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

3/2 is

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

√2 is a number

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

• 
  A
• 
  B
• 
  C
• 
  D

Name the property used in 1000 x 1 = 1000

• additive inverse A
• multiplicative inverse B
• additive identity C
• multiplicative identity 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

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

• 
  A
• 
  B
• 
  C
• 
  D

O is ______

• A positive integer A
• A negative integer B
• A natural number C
• An integer D

A subset of set of complex number whose elements are of the form (a,0) is called

• Real number A
• Complex number B
• Rational number C
• Irrational number 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

What is the conjugate of -6 -i

• -6 +i A
• 6 + i B
• -6 -i C
• 6 -i D

• Reflexive property A
• Symmetric property B
• Cancellations property w.r.t. addition C
• Transitive property D

• Set of whole number A
• Rational Numbers B
• Complex numbers C
• Whole numbers 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 z=(x,y) then z has no multiplicative inverse when

• x ≠ 0, y = 0 A
• x = 0, y = 0 B
• x = 0, y ≠ 0 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D