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

a.a^-1 = a^-1.a = 1 is a

• Commutative law of multiplication A
• Multiplicative identity B
• Associative law of multiplication C
• Multiplicative inverse D

Rational number is a number which can be written as a terminating decimal fraction or a

• Non-terminating decimal fraction A
• Non-recurring B
• Recurring decimal fraction C
• a, b and c D

• 
  A
• 
  B
• 
  C
• 
  D

1/3 is a decimal

• Recurring A
• Terminating B
• Non-terminating C
• None of the above D

The multiplicative inverse of (a,b) is

• 
  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

Associative law of multiplication

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

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

• Trichotomy property A
• Transitive property B
• Symmetric property C
• Additive property D

• 
  A
• 
  B
• 
  C
• 
  D

Additive inverse of - a - b is

• a A
• -a + b B
• a - b C
• a + b 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

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

The symbol of irrational is

• W A
• N B
• Q C
• Q' 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 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

• Principle of equality of fractions A
• Rule for product of fraction B
• Rule for quotient of fraction C

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

i³ =

• -1 A
• i B
• -i C
• 1 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

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

What is the conjugate of -7 -2i?

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

• Closure law of addition A
• Associative law of addition B
• Commutative law of multiplication C
• Associative law of multiplication D

Decimal part of irrational number is

• Terminating A
• Repeating only B
• Neither repeating nor terminating C
• Repeating and terminating D

The multiplicative inverse of -3i is

• 3i A
• -3i B
• -1/3i C
• 1/3 i 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

I is not

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

Every irrational number is

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

• 
  A
• 
  B
• 
  C
• 
  D

Every recurring decimal represents

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

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

• 
  A
• 
  B
• 
  C
• 
  D