ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 1 (Number System)

What is the conjugate of -6 -i

• -6 +i A
• 6 + i B
• -6 -i C
• 6 -i D

The√ is used for the

• Positive square root A
• Negative square root B
• +ve and -ve square root C
• Whole number D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

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

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

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

• 
  A
• 
  B
• 
  C
• 
  D

• Symmetric property A
• Cancellation property w.r.t. multiplication B
• Reflexive property C
• Transitive property D

• 
  A
• 
  B
• 
  C
• 
  D

If a set S contains n elements then P (S) has ........ number of elements

• 2ⁿ A
• 2ⁿ² B
• 2.n C
• n² D

• 
  A
• 1 B
• 
  C
• -1 D

1/3 is a decimal

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

A prime number can be a factor of a square only if it occurs in the square at least

• Once A
• Thirce B
• Twice C
• None of these D

π is ______

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

(a^-1)^-1=

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

The set of rational number is represented by

• W A
• R B
• Q' C
• Q
  
  
  D

i^-(4n+2) = -------------------------------

• 1 A
• i B
• -1 C
• -i D

• 
  A
• 
  B
• 
  C
• 
  D