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

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  A
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  B
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  C
• 
  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
• 
  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 conjugate of √5 i is

• √5 A
• -√5 i B
• i C
• 5i D

• 
  A
• 
  B
• 
  C
• 
  D

The order axioms are satisfied by set of

• C A
• C and R B
• R C
• None of these D

Every recurring decimal represents

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

1/3 is a decimal

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

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

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

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

The square root of 2i - 20i is

• +-(5 - 2i) A
• +-(5 + 2i) B
• (5 - 2i) C
• None of these D

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

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

∀x,y,z ∈ R and z 0,then

• x > y ⇒ xz > yz A
• x<y ⇒ xz < yz B
• x < y ⇒ xz > yz C
• None of these D

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

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 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

If z₁ = 1 + 2i, z₂ = 3 + 4i then

• z₁ > z₂ A
• z₁ = z₂ B
• z₁ < z₂ C
• None of these D

√-1 b=

• b A
• 2 B
• 2b C
• None of these 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

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

• real part of z A
• imaginary part of z B
• conjugate of z C
• modulus of z 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 >b, b >c ⇒a >c is a

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

The value of i⁴ⁿ⁺¹

• 1 A
• -1 B
• i C
• i² D

What is the conjugate of -7 -2i?

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

• 
  A
• 
  B
• 
  C
• 
  D