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

3/2 is

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

• 
  A
• 
  B
• 
  C
• 
  D

• Multiplication property A
• Additive property B
• Trichotomy property C
• Transitive property of inequality 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

i is equal

• (1 , 0) A
• (0 , 1) B
• (1 , 1) C
• (0 , 0) D

In R the number of identity element w.r.t '+' is

• One A
• Two B
• Three C
• Four D

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

√25 is a number

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

Name the property used in 4 x (5 x 8) = ( 4 x 5) x 8

• Associative property of addition A
• Associative property of multiplication B
• Additive identity C
• Multiplicative identity 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 equation |x + 4| = x has solution

• x = -2 A
• x = 2 B
• x = -4 C
• x = 4 D

• x A
• 
  B
• y C
• 
  D

√11 is

• an irrational number A
• Rational number B
• odd number C
• Negative number D

QUQ'

• 
  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

The additive inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 0 D

3/4 is ______

• An odd number A
• An even number B
• A natural number C
• A rational number D

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

i³=

• -1 A
• i B
• -i C
• 1 D

• 
  A
• 
  B
• 
  C
• 
  D

In R, the additive identity is

• 0 A
• 1 B
• -1 C
• None 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

Additive inverse of - a - b is

• a A
• -a + b B
• a - b C
• a + b D

• 
  A
• 
  B
• 
  C
• 
  D

i³ =

• -1 A
• i B
• -i C
• 1 D

∀ z ∈ C, multipliucative is

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

What is the conjugate of -6 -i?

• -6 +i A
• 6+i B
• -6 -i C
• 6 -i 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

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