ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

The polar form of complex number x ≠ I y =

• r cos θ+ r sin θ A
• r cos θ+ is sin θ B
• cos θ+ r sin θ C
• i cos θ+ i sin θ D

• 
  A
• 
  B
• 
  C
• 
  D

A subset of set of complex number whose elements are of the form (a,0) is called

• Real number A
• Complex number B
• Rational number C
• Irrational number D

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

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

The multiplicative inverse of 4 is

• -4 A
• -1/4 B
• 1/4 C
• 1 D

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

• 
  A
• 
  B
• 
  C
• 
  D

The conjugate of √5 i is

• √5 A
• -√5 i B
• i C
• 5i D

2.333....is a

• Irrational no A
• Complex no B
• Rational no C
• None of these D

√23 is

• A rational number A
• A irrational number B
• An even integer C
• A factor of 36 D

∀a,b,c∈R and c>0,then

• a>b ⇒ ac < bc A
• a>b ⇒ ac > bc B
• a<b ⇒ ac > bc C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

Every prime number is also

• Rational number A
• Even number B
• Irrational number C
• Multiple of two numbers D

• 
  A
• 
  B
• 
  C
• 
  D

i³ =

• -1 A
• i B
• -i C
• 1 D

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

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

(7,9) +(3,-5) =

• (4,4) A
• (10,4) B
• (9,-5) C
• (7,3) D

√11 is

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

The set of rational number is represented by

• W A
• R B
• Q' C
• Q
  
  
  D

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

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

The real number system contains.

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

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

• 
  A
• 
  B
• 
  C
• 
  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

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

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

• Addition A
• Multiplications B
• Subtraction C
• None of these 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

• -8 A
• 8 B
• 8i C
• 32 D

A non-terminating non_recurring decimal represents an

• Irrational no A
• Both a & c B
• Rational no C
• None of these D