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

(a +bi) -c (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

Every real number is

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

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

The square roots of negative numbers is called

• Real no A
• Complex no B
• Positive no C
• Negative no D

If z₁ =√-36 ,z₂ =√-25,z3 =√-16 then

• 15 A
• 15i B
• -15i C
• -15 D

If z = (x,y) , then  z ̅  =

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

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

• 1 A
• i B
• -1 C
• -i D

• Additive property of inequality A
• Commutative property B
• Additive inverse C
• Additive identity D

The identity element with respect to subtraction is

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The negative square root of 9 can be written as:

• -√9 A
• √9 B
• √18 C
• -√18 D

∀ a ε R ∃ o ε R such that a + v = 0 + a = a is property of

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

Such fraction which can not be written in the form ofp⁄q where p,q and q≠ 0,such fractions are called.

• Fractinal numbers A
• Rational Numbers B
• Even Numbers C
• Whole Numbers D

In R, the additive identity is

• 0 A
• 1 B
• -1 C
• None D

Any whole number can be written as a product of factors which are

• Odd numbers A
• Prime number B
• Rational number C
• Even number D

• Associative property of addition A
• Associative property of multiplication B
• Commutative property of addition C
• Commutative property of multiplication D

3/4 is ______

• An odd number A
• An even number B
• A natural number C
• A rational number D

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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

• x A
• 
  B
• y C
• 
  D

i is equal

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

The multiplicative inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 1 D

∀x,y,z ∈ R and z 0,then

• x > y ⇒ xz > yz A
• x<y ⇒ xz < yz B
• x < y ⇒ xz > yz C
• None of these D

The property used in -3 <-2 ⇒0 <1

• Commutative property A
• Additive property of inequality B
• Additive inverse C
• Additive identity D

i¹⁰¹=

• i A
• i² B
• -i C
• -1 D

√2 is a number

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

The real number system contains.

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

∀x,y∈ R and x < 0, y < 0, which one is true 

• xy < o A
• xy = o B
• xy > o C
• None of these D

(a-1)-1 =

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

i² = 

• 1 A
• 2 B
• -1 C
• 0 D