ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

In (x +iy) y is called as

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

The square roots of negative numbers is called

• Real no A
• Complex no B
• Positive no C
• Negative no D

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

• √5 A
• √7 B
• -1-2i C
• √3 D

Every prime number is also

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

• x A
• 
  B
• y C
• 
  D

Multiplicative inverse of "1" is

• 0 A
• ±1 B
• 1 C
• {0,1} 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

Every whole number is

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

In R, the multiplicative inverse of a is

• 0 A
• 1 B
• -a C
• 1/a 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

• Symmetric property A
• Cancellation property w.r.t. multiplication B
• Reflexive property C
• Transitive property D

a >b ⇒a +c >b +c is known as

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

The square root of 2i - 20i is

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

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

i =

• 
  A
• 
  B
• 
  C
• 
  D

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

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

∀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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• None of these D

Every real number is

• a positive integer A
• a rational number B
• a negative integer C
• a complex number D

Multiplicative inverse of 0 is

• 0 A
• 1 B
• ±1 C
• Does not exist D

The symbol of irrational is

• W A
• N B
• Q C
• Q' D

i is equal

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

(a^-1)^-1=

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

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

• Trichotomy property A
• Transitive property B
• Symmetric property C
• Additive property D

∀ z ∈ C, multipliucative is

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

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