ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

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

The polar form of complex number x ≠ I y =

• r cos θ+ r sin θ A
• r cos θ+ is sin θ B
• cos θ+ r sin θ C
• i cos θ+ i sin θ D

• 
  A
• 
  B
• 
  C
• 
  D

The order axioms are satisfied by set of

• C A
• C and R B
• R C
• None of these D

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

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

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

The set { 1 , -1} is closed w.r.t.

• Addition A
• Multiplications B
• Subtraction C
• None of these D

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

• a = a A
• a < a B
• a > a C
• a²= a D

In R, the additive inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

If z₁ = 1 + 2i, z₂ = 3 + 4i then

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

The symbol of irrational is

• W A
• N B
• Q C
• Q' D

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

∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a

• Symmetric property A
• Cancellation property w.r.t multiplication B
• Reflexive property C
• Transitive property D

Which element is the additive inverse of (a, b) in Complex numbers?

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

4/√49 is a

• Irrational Number A
• Prime Number B
• Rational number C
• Whole number D

∀a,b,c∈R and c>0,then

• a>b ⇒ ac < bc A
• a>b ⇒ ac > bc B
• a<b ⇒ ac > bc C
• None of these D

i¹⁰¹ =

• i A
• i² B
• -i C
• -1 D

• are real no A
• both are not real B
• are imaginary no C
• both are imaginary D

√-1 b=

• b A
• 2 B
• 2b C
• None of these D

3.5+5.4=5.4+3.5 =8.9 this property of addition is called

• additive identity A
• assoclative property B
• commulative property C
• closure property D

Every prime number is also

• Rational number A
• Even number B
• Irrational number C
• Multiple of two numbers D

What is the conjugate of -6 -i

• -6 +i A
• 6 + i B
• -6 -i C
• 6 -i D

6 is

• A prime integar A
• An irrational number B
• A rational number C
• An odd integer D

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

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

• 
  A
• 
  B
• 
  C
• 
  D