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

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

• 
  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

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

∀x,y∈ R and x < 0, y < 0, which one is true 

• xy < o A
• xy = o B
• xy > o C
• None of these D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

Every whole number is

• A real number A
• An irrational number B
• A prime number C
• A negative integer D

The square root of every incomplete square is an

• Rational numbers A
• Even numbers B
• odd numbers C
• Irrational numbers D

(a, b) + (-a, -b) =

• (0,0) A
• (a, b) B
• (-a, -b) C
• (1, 1) D

The multiplicative inverse of (a,b) is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• Closure law of addition A
• Closure law of multiplication B
• Commutative law of addition C
• Commutative law of multiplication 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

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

The additive inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

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

• One A
• Two B
• Three C
• Four D

• 
  A
• 
  B
• 
  C
• 
  D

√2 is a number

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

The equation |x +4| = x has solution

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

If a is any real number and a = a is called

• symmetric property A
• Trichotomy Properties B
• Transitive Property C
• Reflexive Properties D

If in a set of real no a is multiplicative identity then

• a,a = a² A
• a,a = 1 B
• a,a = 0 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

In R, the additive inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

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