ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 1

∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a

• Symmetric property A
• Cancellation property w.r.t multiplication B
• Reflexive property C
• Transitive property 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

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

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

• 1 A
• -i B
• i C
• 0 D

The multiplicative inverse of 4 is

• -4 A
• -1/4 B
• 1/4 C
• 1 D

Every real number is

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

The property used in -3 <-2 ⇒0 <1

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

• 
  A
• 
  B
• 
  C
• 
  D

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

The set of natural no. is closed under

• multiplication A
• subtraction B
• difference C
• division D

In R, the multiplicative identity is

• 0 A
• 1 B
• -1 C
• None 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

• 
  A
• 
  B
• 
  C
• 
  D

√2 is a number

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

• 
  A
• 
  B
• 
  C
• 
  D

if Z1 = 1+i, Z2= 2+3i, then |Z2 -Z1| =

• √3 i A
• √7 B
• -2-i C
• √5 D

The multiplicative inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 1 B
• -1 C
• 
  D

What is the conjugate of -7 -2i ?

• -7 + 2i A
• 7 +2i B
• 7 -2i C
• √53 D

I is not

• Real number A
• Natural number B
• Prime Number C
• Whole Number D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 1 B
• 
  C
• -1 D

∀ a ε R ∃ o ε R such that a + v = 0 + a = a is property of

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

The set {1, 2, 3, 4, ....} is called

• Set of Natural numbers A
• Set of whole numbers B
• Set of rational number C
• Set of irrational numbers D

A non-terminating, non-recurring decimal represent

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

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