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

∀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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

(√3+√5)+√7 = √3 +(√5 +√7) property used in above is

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

• 
  
  
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• x A
• 
  B
• y C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 1 A
• -1 B
• 
  C
• 
  D

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

• √5 A
• √7 B
• -1-2i C
• √3 D

What is the conjugate of -7 -2i ?

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

If z = (x,y) , then  z ̅  =

• (-x,y) A
• (x,-y) B
• (-x, -y) C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The multiplicative inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

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

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

Every natural number is

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

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

• One A
• Two B
• Three C
• Four 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

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

Every prime number is also

• Rational number A
• Even number B
• Irrational number C
• Multiple of two numbers D

The additive inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 0 D

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

In (x + iy), y is called as

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

• -8 A
• 8 B
• 8i C
• 32 D

Additive inverse of - a - b is

• a A
• -a + b B
• a - b C
• a + b D

Every real number is

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

i¹⁰¹ =

• i A
• i² B
• -i C
• -1 D