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

Every natural number is

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

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

√23 is

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

∀ z ∈ C, multipliucative is

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

i³ =

• -1 A
• i B
• -i C
• 1 D

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

The set of natural no. is closed under

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

If z₁ = 1 + 2i, z₂ = 3 + 4i then

• z₁ > z₂ A
• z₁ = z₂ B
• z₁ < z₂ C
• None of these D

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

For any real numbers x,y,xy=o ⇒

• x ≠ 0 ∧ y ≠ 0 A
• x = 0 ∨ y = 0 B
• x = 0 C
• y = 0 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

If a and b are real numbers then a+b is also real number this law is called

• associative law of addition A
• closure law of addition B
• Distributive law of addition C
• Commutative law of addition D

• 
  A
• 
  B
• 
  C
• 
  D

If P is a whole number greater than 1, which has only P and I are factors. Then P is called

• Wholw number A
• Prime number B
• Even number C
• Odd number D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

i^-(4n+2) = -------------------------------

• 1 A
• i B
• -1 C
• -i D

i¹⁰¹=

• i A
• i² B
• -i C
• -1 D

A prime number can be a factor of a square only if it occurs in the square at least

• Once A
• Thirce B
• Twice C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Name the property used in 100 + 0 = 100

• Additive inverse A
• Multiplicative inverse B
• Additive identity C
• Multiplicative identity D

There is no element common in

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

Name the property used in 4.1 + (-4.1) = 0

• Additive inverse A
• Multiplication inverse B
• Additive identity C
• Multiplication identity D

• 
  A
• 
  B
• 
  C
• 
  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