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

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

Zero is

• An irrational number A
• A rational number B
• A negative integer C
• A positive number D

The order axioms are satisfied by set of

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

What is the conjugate of -6 -i

• -6 +i A
• 6 + i B
• -6 -i C
• 6 -i D

∀x,y∈ R and x < 0, y < 0, which one is true 

• xy < o A
• xy = o B
• xy > o C
• None of these D

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

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

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

∀a,b, c ε R,a +c = b + c = > a = b

• Reflexive property A
• Symmetric property B
• Cancellations property w.r.t. addition C
• Transitive property D

• 
  A
• 
  B
• 
  C
• 
  D

If in a set of real no a is additive identity then

• a+a = 2a A
• a+a = 1 B
• a+a = 0 C
• None of these D

The multiplicative inverse of -3i is

• 3i A
• -3i B
• -1/3i C
• 1/3 i D

• 
  A
• 
  B
• 
  C
• 
  D

a >b ⇒a +c >b +c is known as

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The additive inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

If z₁ =√-36 ,z₂ =√-25,z3 =√-16 then

• 15 A
• 15i B
• -15i C
• -15 D

Q∪ Q' =

• Q A
• Q' B
• N C
• R D

The symbol of irrational is

• W A
• N B
• Q C
• Q' D

The√ is used for the

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

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

In polar form of complex number r =

• 
  A
• 
  B
• 
  C
• 
  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

(a +bi) -c (c +di) =

• (a +b) = (c +d) A
• (a +c) + i(b +d) B
• (a -c) + (c -d)i C
• (a -c) +(b -d) i D

If Z = (1,2), then Z^-1 =?

• (0.2, 0.4) A
• (-0.2 ,0.4) B
• (0.2,-0.4) C
• (-0.2,-0.4) D

• 1 A
• -i B
• i C
• 0 D

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

• 
  A
• 
  B
• 
  C
• 
  D

QUQ, =

• N A
• R B
• W C
• Z D

If z₁ = 1 + 2i, z₂ = 3 + 4i then

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

The equation |x + 4| = x has solution

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