ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• are real no A
• both are not real B
• are imaginary no C
• both are imaginary D

• real part of z A
• imaginary part of z B
• conjugate of z C
• modulus of z D

The set of rationals numbers between 0 and I is

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

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

i³=

• -1 A
• i B
• -i C
• 1 D

• 
  A
• 
  B
• 
  C
• 
  D

Every prime number is also

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

The√ is used for the

• Positive square root A
• Negative square root B
• +ve and -ve square root C
• Whole number D

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

• 
  A
• 
  B
• 
  C
• 
  D

O is ______

• A positive integer A
• A negative integer B
• A natural number C
• An integer D

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

If z₁= 2 + 6i and z₂= 3 + 7i, then which expression defines the product of z₁and z₂?

• 36 + (-32)i A
• -36 + 32i B
• 6 + (-11)1 C
• 0, +(-12)i D

Multiplicative inverse of 0 is

• 0 A
• 1 B
• ±1 C
• Does not exist D

Rational number is a number which can be written as a terminating decimal fraction or a

• Non-terminating decimal fraction A
• Non-recurring B
• Recurring decimal fraction C
• a, b and c D

In R, the additive identity is

• 0 A
• 1 B
• -1 C
• None 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

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 = -i C
• x = 2, y = 2 D

i¹⁰¹=

• i A
• i² B
• -i C
• -1 D

• (a + b)c = ac + bc A
• a + b = b + a B
• (a + b) + c = a + (b + c) C
• a(b +c) = ab + ac D

Q∪ Q' =

• Q A
• Q' B
• N C
• R D

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

What is the conjugate of -7 -2i ?

• -7 + 2i A
• 7 +2i B
• 7 -2i C
• √53 D

If z₁ = 1 + 2i, z₂ = 3 + 4i then

• z₁ > z₂ A
• z₁ = z₂ B
• z₁ < z₂ C
• None of these D

The additive identity of real number is

• 1 A
• 2 B
• 1/2 C
• 0 D

In (x +iy) y is called as

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

• 0 A
• 1 B
• -1 C
• 2 D

Name the property used in a (b-c) = ab - ac

• commutative property of multiplication A
• distributive property of multiplication B
• associative property of multiplication C
• multiplicative inverse D