ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

The set { 1 , -1} is closed w.r.t.

• Addition A
• Multiplications B
• Subtraction 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

• Additive property in R A
• Multiplication property in R B
• Cancellation property in R C
• Distribution property in R D

QUQ'

• 
  A
• 
  B
• 
  C
• 
  D

In (x + iy), y is called as

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

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

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

Which of the following sets has closure property w.r.t. addition

• { 0 } A
• { 1 } B
• { 0, -1} C
• { 1, -1} D

• 
  A
• 
  B
• 
  C
• 
  D

• Commutative property of addition A
• Closure property of addition B
• Additive inverse C
• Associative property w.r.t. to addition 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

• (a + b)c = a . c + bc A
• a + b = b + a B
• (a + b) + c = a + (b + c) C
• a(b+ c) = ab + ac D

• 
  A
• 
  B
• 
  C
• 
  D

• -3 -2i A
• 3 +2i B
• 1 + 2i C
• 1 - 2i D

Every real number is

• a positive integer A
• a rational number B
• a negative integer C
• a complex number D

√-1 b=

• b A
• 2 B
• 2b C
• None of these D

3/2 is

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

What is the conjugate of -7 -2i?

• -7 + 2i A
• 7 + 2i B
• 7 -2i C
• None of these D

i =

• 
  A
• 
  B
• 
  C
• 
  D

In set builder notation the set {0,1,2,........100} can be written as

• {x / xε B ∧ x ≤ 100} A
• {x / x ∈ W ∧ x < 101} B
• {x / x ∈ Z ∧ x < 101} C
• The set of first 100 whole numbers D

The solution set of the equation |3x + 2| = 5 is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

i² =

• 1 A
• 2 B
• -1 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  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

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

If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

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

What is the conjugate of -6 -i?

• -6 +i A
• 6+i B
• -6 -i C
• 6 -i D

• x A
• 
  B
• y C
• 
  D

1/3 is ______

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

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

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