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

1/3 is ______

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

If z=(x,y) then z has no multiplicative inverse when

• x ≠ 0, y = 0 A
• x = 0, y = 0 B
• x = 0, y ≠ 0 C
• None of these D

Every whole number is

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

i⁹ =

• i² A
• -1 B
• 1 C
• i D

For any real numbers x,y,xy=o ⇒

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

6 is

• A prime integer A
• An irrational number B
• A rational number C
• An odd integer D

Every recurring decimal represents

• 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.a^-1 = a^-1.a = 1 is a

• Commutative law of multiplication A
• Multiplicative identity B
• Associative law of multiplication C
• Multiplicative inverse D

If 4 > b or a < b than a = b is a

• Additive property A
• Transitive property B
• Trichotomy property of inequality C
• None of above D

The real number system contains.

• Positive Numbers A
• Negative numbers B
• Zero C
• (option a, b and c) D

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

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

The additive inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 0 D

• Rational A
• Irrational B
• Natural C
• Odd D

• 
  A
• 
  B
• 
  C
• 
  D

The symbol of irrational is

• W A
• N B
• Q C
• Q' D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• Associative property of addition A
• Associative property of multiplication B
• Commutative property of addition C
• Commutative property of multiplication D

• 
  A
• 
  B
• 
  C
• None of these D

• 0 A
• 1 B
• -1 C
• None of these 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

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

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

• 
  A
• 
  B
• 
  C
• 
  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

i¹⁰¹ =

• i A
• i² B
• -i C
• -1 D

If 0 = R, thenthe additive inverse of a is

• 1/9 A
• ^1/-9 B
• a C
• -a D