ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

√-1 b=

• b A
• 2 B
• 2b C
• None of these D

14 is not a

• Prime number A
• Whole number B
• Even number C
• Real 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

Union of the sets of rational and irrational numbers is called 6th set of

• Natural numbers A
• Real numbers B
• Whole numbers C
• Prime numbers 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

202.04 is an example of

• Recurring decimals A
• Non-recurring decimals B
• Terminating decimals C
• None of above D

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

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

Name the property used in 4.1 + (-4.1) = 0

• Additive inverse A
• Multiplication inverse B
• Additive identity C
• Multiplication identity D

If ∀a,b ε R,then a +b  ε  R is a property

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

• 
  A
• 
  B
• 
  C
• 
  D

• additive property A
• multiplicative property B
• additive inverse C
• additive identity D

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

Every irrational number is

• A real number A
• A prime number B
• A natural number C
• An integer D

π is ______

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

If z₁ =√-36 ,z₂ =√-25,z3 =√-16 then

• 15 A
• 15i B
• -15i C
• -15 D

In R, the multiplicative identity is

• 0 A
• 1 B
• -1 C
• None D

• Commutative law of multiplication A
• Closure law of multiplication B
• Associative law of multiplication C
• Multiplication identity D

1.4142135... is ______

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

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

The value of x, and y, when (x + iy)²= 5 + 4i

• X = 2, y = -1 A
• X = -2, y=1 B
• X = 2, y = -1 C
• X = 2, y = 2 D

Multiplicative inverse of "1" is

• 0 A
• ±1 B
• 1 C
• {0,1} D

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

• 
  A
• 
  B
• 
  C
• 
  D

• real number A
• complex number B
• rational number C
• irrational number D

Every recurring decimal represents

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

3/4 is ______

• An odd number A
• An even number B
• A natural number C
• A rational number D

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