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

i¹⁰¹ =

• i A
• i² B
• -i C
• -1 D

∀ z ∈ C, multipliucative is

• (1,1) A
• (1,0) B
• (0,1) C
• None of these D

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

(a^-1)^-1=

• a^-1 A
• a B
• -a C
• None of above D

i is equal

• (1 , 0) A
• (0 , 1) B
• (1 , 1) C
• (0 , 0) D

The multiplicative inverse ofx^(-1) is

• x A
• a-2 B
• 0 C
• 1 D

2.333....is a

• Irrational no A
• Complex no B
• Rational no C
• None of these D

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

If ∀a,b ε R,then a +b  ε  R is a property

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

In (x + iy) x is the known as

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

• N A
• r B
• 2r C
• π D

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

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

• 
  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

If a is any real number and a = a is called

• symmetric property A
• Trichotomy Properties B
• Transitive Property C
• Reflexive Properties D

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

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

(a-1)-1 =

• a-1 A
• a B
• -a C
• None of above D

The set of rationals numbers between 0 and I is

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

a >b, b >c ⇒a >c is a

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

There is no element common in

• N and W A
• E and W B
• N and O C
• Q and Q' 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 ε R,a +c = b + c = > a = b

• Reflexive property A
• Symmetric property B
• Cancellations property w.r.t. addition C
• Transitive property D

The real number system contains.

• Positive Numbers A
• Negative numbers B
• Zero C
• (option a, b and c) D

The set of positive integers, 0 and negative integers is known as the set of

• Natural numbers A
• Rational numbers B
• All integers C
• Irrational numbers D

√25 is a number

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

In polar form of complex number r =

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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