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

Which element is the additive inverse of (a, b) in Complex numbers?

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

The set {0,-1} hold closure property under

• Addition A
• Both a & c B
• Multiplication C
• None of these D

√2 is a number

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

• Additive property of inequality A
• Commutative property B
• Additive inverse C
• Additive identity D

0.25 is ______

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

4/√49 is a

• Irrational Number A
• Prime Number B
• Rational number C
• Whole number 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

• Associative property of addition A
• Commutative property of addition B
• Distributive property C
• Additive identity D

If z = (x,y) , then  z ̅  =

• (-x,y) A
• (x,-y) B
• (-x, -y) C
• None of these D

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

Every irrational number is

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

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

In R the left cancellation property w.r.t addition is

• 
  A
• 
  B
• 
  C
• 
  D

The negative square root of 9 can be written as:

• -√9 A
• √9 B
• √18 C
• -√18 D

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

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

1.4142135... is ______

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

In R, the additive inverse of a is

• 0 A
• 1 B
• -a C
• 1/a 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

If a and b are real numbers then a+b is also real number this law is called

• associative law of addition A
• closure law of addition B
• Distributive law of addition C
• Commutative law of addition D

• 
  A
• 
  B
• 
  C
• 
  D

6 is

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

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

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

What is the conjugate of -6 -i?

• -6 +i A
• 6+i B
• -6 -i C
• 6 -i D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

(a^-1)^-1=

• a^-1 A
• a B
• -a C
• None of above D

202.04 is an example of

• Recurring decimals A
• Non-recurring decimals B
• Terminating decimals C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

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