ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

The multiplicative inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 1 D

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

• √5 A
• √7 B
• -1-2i C
• √3 D

24 can be written as a product of

• Odd factors A
• Even factors B
• Whole factors C
• Prime factors D

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

• 
  A
• 
  B
• 
  C
• 
  D

The real number system contains.

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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

If z₁ = 1 + 2i, z₂ = 3 + 4i then

• z₁ > z₂ A
• z₁ = z₂ B
• z₁ < z₂ C
• None of these D

The set of natural no. is closed under

• multiplication A
• subtraction B
• difference C
• division D

√x = ______ if is a prime number

• Rational no A
• Natural no B
• Irrational no C
• Complex no D

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

Name the property used in 4 x (5 x 8) = ( 4 x 5) x 8

• Associative property of addition A
• Associative property of multiplication B
• Additive identity C
• Multiplicative identity D

• A positive integer A
• A negative integer B
• A natural number C
• An irrational number D

The polar form of complex number x ≠ I y =

• r cos θ+ r sin θ A
• r cos θ+ is sin θ B
• cos θ+ r sin θ C
• i cos θ+ i sin θ D

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

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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

3.5+5.4=5.4+3.5 =8.9 this property of addition is called

• additive identity A
• assoclative property B
• commulative property C
• closure property D

• 1 A
• 3 B
• 2-i C
• -1 D

∀x,y∈R and x> 0 , y>0, if x > y

• 
  A
• 
  B
• 
  C
• None of these D

QUQ, =

• N A
• R B
• W C
• Z D

6 is

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

• Closure law of addition A
• Closure law of multiplication B
• Commutative law of addition C
• Commutative law of multiplication D

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

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

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

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

In R, the multiplicative identity is

• 0 A
• 1 B
• -1 C
• None D

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

The value of x and y when (x + iy)2 = 5 - 4i

• x = 2, y = -1 A
• x = -2, y = 1 B
• x = 2, y = -i C
• x = 2, y = 2 D