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

6 is

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

i¹⁰¹ =

• i A
• i² B
• -i C
• -1 D

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

If z₁ =√-36 ,z₂ =√-25,z3 =√-16 then

• 15 A
• 15i B
• -15i C
• -15 D

The order axioms are satisfied by set of

• C A
• C and R B
• R C
• None of these D

Every prime number is also

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

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

• 
  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∈R, a >b ∧ b>c ⇒ a >c is

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

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

• a+a = 2a A
• a+a = 1 B
• a+a = 0 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  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

In R, the additive inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

Every natural number is

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

In polar form of complex number r =

• 
  A
• 
  B
• 
  C
• 
  D

• A rational number A
• A irrational number B
• An even integer C
• A factor of 36 D

• 
  A
• 
  B
• 
  C
• 
  D

It is not possible to find the exact value of

• π A
• √9 B
• ∛27 C
• √1 D

√2 is a number

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

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

For each real number, there is a number which is its

• Negative A
• Possitive B
• Opposite C
• Similar D

• z is purely imaginary A
• a is any complex number B
• z is real C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

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

• √3 i A
• √7 B
• -2-i C
• √5 D

The equation |x + 4| = x has solution

• x = -2 A
• x = 2 B
• x = -4 C
• x = 4 D

Every irrational number is

• A real number A
• A prime number B
• A natural number C
• An integer 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

(a,b) +(-a,-b) =

• (0,0) A
• (a,b) B
• (-a,-b) C
• (1,1) D