ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

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

Which of the following sets has closure property w.r.t. addition

• { 0 } A
• { 1 } B
• { 0, -1} C
• { 1, -1} D

• are real no A
• both are not real B
• are imaginary no C
• both are imaginary 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 A
• a < a B
• a > a C
• a²= a D

• 
  A
• 
  B
• 
  C
• 
  D

There is no element common in

• N and W A
• E and W B
• N and O C
• Q and Q' D

3/4 is ______

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

Any whole number can be written as a product of factors which are

• Odd numbers A
• Prime number B
• Rational number C
• Even number 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

The multiplicative inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

Every real number is

• a positive integer A
• a rational number B
• a negative integer C
• a complex number D

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

O is ______

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

It is not possible to find the exact value of

• π A
• √9 B
• ∛27 C
• √1 D

• -3 -2i A
• 3 +2i B
• 1 + 2i C
• 1 - 2i D

• Rational A
• Irrational B
• Natural C
• Odd 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

Associative law of multiplication

• ab = ba A
• a(bc) = (ab) c B
• a(b+c) = ab + ac C
• (a + b)c = ac + bc D

In R the right cancellation property w.r.t. addition is

• 
  A
• 
  B
• 
  C
• 
  D

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

The multiplicative inverse of (a,b) is

• 
  A
• 
  B
• 
  C
• 
  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

∀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

• 0 A
• 1 B
• -1 C
• None of these D

The additive inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

√(-1b) =?

• b i A
• -i b B
• b2 C
• i√b D

∀ a ε R ∃ o ε R such that a + v = 0 + a = a is property of

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