ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 1 (Number System)

For any real numbers x,y,xy=o ⇒

• x ≠ 0 ∧ y ≠ 0 A
• x = 0 ∨ y = 0 B
• x = 0 C
• y = 0 D

• 
  A
• 
  B
• 
  C
• 
  D

• -8 A
• 8 B
• 8i C
• 32 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

The set of rational number is represented by

• W A
• R B
• Q' C
• Q
  
  
  D

The multiplicative inverse of (a,b) is

• 
  A
• 
  B
• 
  C
• 
  D

In (x + iy) x is the known as

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

There is no element common in

• N and W A
• E and W B
• N and O C
• Q and Q' D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

The set of natural no. is closed under

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

• 
  A
• 
  B
• 
  C
• 
  D

The multiplicative inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

• 
  A
• 
  B
• 
  C
• 
  D

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

O is ______

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

i =

• 
  A
• 
  B
• 
  C
• 
  D

If A = {x / x ∈ R ∧ x² - 16 = 0} then A =

• - x A
• Infinite set B
• Φ C
• {-4,4} D

The conjugate of √5 i is

• √5 A
• -√5 i B
• i C
• 5i D

In R, the additive identity is

• 0 A
• 1 B
• -1 C
• None D

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

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• z is purely imaginary A
• a is any complex number B
• z is real C
• None of these D

(a,0) x (c, 0) =

• (0,ac) A
• (ac, 0) B
• (0,0) C
• (a, c) D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 1 B
• 
  C
• -1 D

Geometrically the modulus of a complex number represents its distance from the

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