ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

Geometrically the modulus of a complex number represents its distance from the

• Point (1,0) A
• Point (0,1) B
• Point (1,1) C
• Point (0,0) D

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

Every recurring decimal represents

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

• 
  A
• 
  B
• 
  C
• 
  D

• z is purely imaginary A
• a is any complex number B
• z is real C
• None of these D

Every natural number is

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

If z₁ =√-36 ,z₂ =√-25,z3 =√-16 then

• 15 A
• 15i B
• -15i C
• -15 D

The set of rational number is represented by

• W A
• R B
• Q' C
• Q
  
  
  D

• 15 A
• 15 i B
• -15 i C
• -15 D

3/4 is ______

• An odd number A
• An even number B
• A natural number C
• A rational number D

Associative law of multiplication

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

The additive inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

• Commutative law of addition A
• Associative law of addition B
• Additive identity C
• Additive inverse D

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

• a,a = a² A
• a,a = 1 B
• a,a = 0 C
• None of these 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 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

The square roots of negative numbers is called

• Real no A
• Complex no B
• Positive no C
• Negative no D

• 
  A
• 1 B
• 
  C
• -1 D

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

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

In R the number of identity element w.r.t '+' is

• One A
• Two B
• Three C
• Four D

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

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

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

If ∀a,b ε R,then a +b  ε  R is a property

• Closure law of addition A
• Associative law of addition B
• Additive inverse C
• Additive identity D

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

The identity element with respect to subtraction is

• 0 A
• -1 B
• 0 and 1 C
• None of thes D

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

If a is any real number and a = a is called

• symmetric property A
• Trichotomy Properties B
• Transitive Property C
• Reflexive Properties D

Name the property used in 4 x (5 x 8) = ( 4 x 5) x 8

• Associative property of addition A
• Associative property of multiplication B
• Additive identity C
• Multiplicative identity D

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

• -8 A
• 8 B
• 8i C
• 32 D