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

The set of rationals numbers between 0 and I is

• Finite A
• Null set B
• Infinite C
• None of these D

∀x, y ∈ R, either x = y or x > y or x < y is

• Transitive property A
• Reflexive property B
• Trichotomy property C
• None of these D

The square roots of negative numbers is called

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

The multiplicative inverse of 1 - 2i is

• 
  A
• 
  B
• 
  C
• 
  D

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

• √5 A
• √7 B
• -1-2i C
• √3 D

• 
  A
• 
  B
• 
  C
• 
  D

Every real number is

• A complex number A
• A rational number B
• A natural number C
• A prime number D

The value of i⁴ⁿ⁺¹

• 1 A
• -1 B
• i C
• i² D

π is ______

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

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

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

If z=(x,y) then z has no multiplicative inverse when

• x ≠ 0, y = 0 A
• x = 0, y = 0 B
• x = 0, y ≠ 0 C
• None of these D

In R the right cancellation property w.r.t. addition is

• 
  A
• 
  B
• 
  C
• 
  D

(a+bi) - (c+di)=

• (a+b) = (c+d) A
• (a+c) + i(b+d) B
• (a - c) + (c- d)i C
• (a - c)+ (b - d)i D

• 
  A
• 
  B
• 
  C
• 
  D
• 
  E

The additive identity of real number is

• 1 A
• 2 B
• 1/2 C
• 0 D

∀a,b ε R, ab = be is a

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

a >b ⇒a +c >b +c is known as

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

• 
  A
• 
  B
• 
  C
• 
  D

The product of complex numbers (a,b) and (c,d) is

• (ac, bd) A
• (ac-bd, ad+bc) B
• (ab,cd) C
• (ac+bd,ad-bc) D

√2 +√3 +√5) = (√2 +√3 +√5: this property is called

• associative property w.r.t addition A
• commutative property B
• Closure property w.r.t addition C
• Additive identity D

(a,0) x (c, 0) =

• (0,ac) A
• (ac, 0) B
• (0,0) C
• (a, c) D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• are real no A
• both are not real B
• are imaginary no C
• both are imaginary D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

In (x + iy), y is called as

• Imaginary part A
• Complex number B
• Real part C
• None of above D