ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 1

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

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

• √5 A
• √7 B
• -1-2i C
• √3 D

2/9,5/7∈ R,(2│9)(5│7)=10/63∈R this property is called

• Associative property A
• Identity property B
• Commutative property C
• Closure property w.r.t multiplication D

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

Every natural number is

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

24 can be written as a product of

• Odd factors A
• Even factors B
• Whole factors C
• Prime factors D

Rational number is a number which can be written as a terminating decimal fraction or a

• Non-terminating decimal fraction A
• Non-recurring B
• Recurring decimal fraction C
• a, b and c 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

Every prime number is also

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

A non-terminating, non-recurring decimal represent

• A natural number A
• A rational number B
• An irrational number C
• A prime number D

The multiplicative inverse ofx^(-1) is

• x A
• a-2 B
• 0 C
• 1 D

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

• 
  A
• 
  B
• 
  C
• 
  D

• Trichotomy property A
• Additive property of inequality B
• Transitive property C
• Multiplicative property D

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

• 
  A
• 
  B
• 
  C
• 
  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

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

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

If z = (x,y) , then  z ̅  =

• (-x,y) A
• (x,-y) B
• (-x, -y) C
• None of these D

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

1.4142135... is ______

• A natural number A
• A rational number B
• A prime number C
• An irrational number 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 multiplicative inverse of 4 is

• -4 A
• -1/4 B
• 1/4 C
• 1 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 of the following sets has closure property w.r.t. addition

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

• 
  A
• 
  B
• 
  C
• 
  D

The√ is used for the

• Positive square root A
• Negative square root B
• +ve and -ve square root C
• Whole number D

• z is purely imaginary A
• a is any complex number B
• z is real C
• None of these D

The order axioms are satisfied by set of

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

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

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