ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

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

i¹⁰¹=

• i A
• i² B
• -i C
• -1 D

π is ______

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

∀x,y∈R and x> 0 , y>0, if x > y

• 
  A
• 
  B
• 
  C
• None of these D

• 
  A
• 1 B
• -1 C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

The set of natural no. is closed under

• multiplication A
• subtraction B
• difference C
• division 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

The set of positive integers, 0 and negative integers is known as the set of

• Natural numbers A
• Rational numbers B
• All integers C
• Irrational numbers D

I is not

• Real number A
• Natural number B
• Prime Number C
• Whole Number D

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

• One A
• Two B
• Three C
• Four 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

Some of two real numbers is also a real number , this property is called:

• Commutative property w.r.t addition A
• Closure property w.r.t. addition B
• Associative property w.r.t. addition C
• Distributive property w.r.t addition D

• -3 -2i A
• 3 +2i B
• 1 + 2i C
• 1 - 2i D

• N A
• r B
• 2r C
• π D

(a-1)-1 =

• a-1 A
• a B
• -a C
• None of above D

• 
  A
• 
  B
• 
  C
• 
  D

Any recurring decimal represents a

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

If 4 > b or a < b than a = b is a

• Additive property A
• Transitive property B
• Trichotomy property of inequality C
• None of above D

i² =

• 1 A
• 2 B
• -1 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

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

Any whole number can be written as a product of factors which are

• Odd numbers A
• Prime number B
• Rational number C
• Even number 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

What is the conjugate of -7 -2i?

• -7 + 2i A
• 7 + 2i B
• 7 -2i C
• None of these D

• (x, y) A
• (kx, y) B
• (x, ky) C
• (kx, ky) D

• 
  A
• 
  B
• 
  C
• 
  D

a.a^-1 = a^-1.a = 1 is a

• Commutative law of multiplication A
• Multiplicative identity B
• Associative law of multiplication C
• Multiplicative inverse D

• 
  A
• 
  B
• 
  C
• 
  D

Every recurring decimal represents

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