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

The sum of complex number (a,b) and (c,d) is

• 
  A
• 
  B
• 
  C
• 
  D

• Reflexive property A
• Symmetric property B
• Cancellations property w.r.t. addition C
• Transitive property D

The multiplicative inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

(√3+√5)+√7 = √3 +(√5 +√7) property used in above is

• Commutative property of addition A
• Closure property of addition B
• Additive inverse C
• Associative property w.r.t to adition D

• 
  A
• 
  B
• 
  C
• 
  D

∀x,y,z ∈ R and z 0,then

• x > y ⇒ xz > yz A
• x<y ⇒ xz < yz B
• x < y ⇒ xz > yz C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

i² = 

• 1 A
• 2 B
• -1 C
• 0 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

1/3 is ______

• A prime number A
• An integer B
• A rational number C
• An irrational number 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

(7, 9) + (3, -5) =

• (4, 4) A
• (10, 4) B
• (9, -5) C
• (7, 3) D

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

Every whole number is

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

i is equal

• (1 , 0) A
• (0 , 1) B
• (1 , 1) C
• (0 , 0) D

Any recurring decimal represents a

• Irrational no A
• Integer B
• Rational no C
• None of these D

The square root of 2i - 20i is

• +-(5 - 2i) A
• +-(5 + 2i) B
• (5 - 2i) C
• None of these D

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

• One A
• Two B
• Three C
• Four D

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

• x A
• 
  B
• y C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

The additive inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

i¹⁰¹ =

• i A
• i² B
• -i C
• -1 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

• 1 A
• 3 B
• 2-i C
• -1 D

Zero is

• An irrational number A
• A rational number B
• A negative integer C
• A positive number 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

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