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

The identity element with respect to subtraction is

• 0 A
• -1 B
• 0 and 1 C
• None of thes D

• 
  
  
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

i¹⁰¹=

• i A
• i² B
• -i C
• -1 D

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

Every prime number is also

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

If z₁= 2 + 6i and z₂= 3 + 7i, then which expression defines the product of z₁and z₂?

• 36 + (-32)i A
• -36 + 32i B
• 6 + (-11)1 C
• 0, +(-12)i D

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

In R, the additive inverse of a is

• 0 A
• 1 B
• -a C
• 1/a 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

i² = 

• 1 A
• 2 B
• -1 C
• 0 D

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

Every prime number is also

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

The conjugate of √5 i is

• √5 A
• -√5 i B
• i C
• 5i 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
• 
  B
• 
  C
• 
  D

• N A
• r B
• 2r C
• π D

• 
  A
• 
  B
• 
  C
• 
  D

The square root of 2i - 20i is

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

• 
  A
• 
  B
• 
  C
• 
  D

• 15 A
• 15 i B
• -15 i C
• -15 D

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

∀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

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

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

• 
  A
• 
  B
• 
  C
• 
  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

π is ______

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

If in a set of real no a is multiplicative identity then

• a,a = a² A
• a,a = 1 B
• a,a = 0 C
• None of these D

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