ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 1 (Number System)

The set of natural no. is closed under

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

• 
  A
• 1 B
• -1 C
• 
  D

The value of i⁴ⁿ⁺¹

• 1 A
• -1 B
• i C
• i² 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
• 
  B
• 
  C
• 
  D

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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

• 
  A
• 
  B
• 
  C
• 
  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

If z₁= 2 + 6i and z₂= 3 + 7i, then which expression defines the product of z₁and z₂?

• 36 + (-32)i A
• -36 + 32i B
• 6 + (-11)1 C
• 0, +(-12)i 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

• x A
• 
  B
• y C
• 
  D

If 4 > b or a < b than a = b is a

• Additive property A
• Transitive property B
• Trichotomy property of inequality C
• None of above D

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

Union of the sets of rational and irrational numbers is called 6th set of

• Natural numbers A
• Real numbers B
• Whole numbers C
• Prime numbers 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

• 0 A
• 1 B
• -1 C
• 2 D

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• One A
• Two B
• Three C
• Four 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

Such fraction which can not be written in the form ofp⁄q where p,q and q≠ 0,such fractions are called.

• Fractinal numbers A
• Rational Numbers B
• Even Numbers C
• Whole Numbers D

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

• 
  A
• 
  B
• 
  C
• 
  D

The product of complex numbers (a,b) and (c,d) is

• (ac, bd) A
• (ac-bd, ad+bc) B
• (ab,cd) C
• (ac+bd,ad-bc) D

• 
  A
• 
  B
• 
  C
• 
  D

In R, the multiplicative identity is

• 0 A
• 1 B
• -1 C
• None D

• 
  A
• 
  B
• 
  C
• 
  D

• -8 A
• 8 B
• 8i C
• 32 D