ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

√2 is a number

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

√11 is

• an irrational number A
• Rational number B
• odd number C
• Negative number D

√25 is a number

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

1.4142135... is ______

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

• Set of whole number A
• Rational Numbers B
• Complex numbers C
• Whole numbers D

The order axioms are satisfied by set of

• C A
• C and R B
• R C
• None of these 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

• 
  A
• 
  B
• 
  C
• 
  D

If z₁ = 1 + 2i, z₂ = 3 + 4i then

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

Every recurring decimal represents

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

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

Every irrational number is

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

• 
  A
• 
  B
• 
  C
• 
  D

The equation |x +4| = x has solution

• x = -2 A
• x = 2 B
• x = -4 C
• x = 4 D

Q∪ Q' =

• Q A
• Q' B
• N C
• R D

The product of complex numbers (a,b) and (c,d) is

• (ac, bd) A
• (ac-bd, ad+bc) B
• (ab,cd) C
• (ac+bd,ad-bc) D

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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

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

• -8 A
• 8 B
• 8i C
• 32 D

6 is

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

• 
  A
• 
  B
• 
  C
• 
  D

a >b, b >c ⇒a >c is a

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

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

The additive inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

Name the property used in 100 + 0 = 100

• Additive inverse A
• Multiplicative inverse B
• Additive identity C
• Multiplicative identity D

• 
  A
• 
  B
• 
  C
• 
  D

1/3 is a decimal

• Recurring A
• Terminating B
• Non-terminating C
• None of the above D

The symbol of irrational is

• W A
• N B
• Q C
• Q' D