ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

The set of rationals numbers between 0 and I is

• Finite A
• Null set B
• Infinite C
• None of these 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

• 
  A
• 
  B
• 
  C
• 
  D

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

If 0 = R, thenthe additive inverse of a is

• 1/9 A
• ^1/-9 B
• a C
• -a D

The negative square root of 9 can be written as:

• -√9 A
• √9 B
• √18 C
• -√18 D

The multiplicative inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

The set {0,-1} hold closure property under

• Addition A
• Both a & c B
• Multiplication C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

Every irrational number is

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

i^-(4n+2) = -------------------------------

• 1 A
• i B
• -1 C
• -i D

Name the property used in 4 + 9 = 9 + 4

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

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

• 
  A
• 
  B
• 
  C
• 
  D

∀ z ∈ C, multipliucative is

• (1,1) A
• (1,0) B
• (0,1) C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

In (x +iy) y is called as

• Imaginary part A
• Complex number B
• Real part C
• None of above 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

π is ______

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

• 
  A
• 
  B
• 
  C
• 
  D

Every prime number is also

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

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

• One A
• Two B
• Three C
• Four D

If z = (x,y) , then  z ̅  =

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

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

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

The set of natural no. is closed under

• multiplication A
• subtraction B
• difference C
• division D

• 
  A
• 1 B
• 
  C
• -1 D

The square root of 2i - 20i is

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

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