ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

The value of i⁴ⁿ⁺¹

• 1 A
• -1 B
• i C
• i² D

Every recurring decimal represents

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

The multiplicative inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

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

• 
  A
• 
  B
• 
  C
• 
  D

• additive property A
• multiplicative property B
• additive identity C
• multiplicative identity D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

In R, the multiplicative identity is

• 0 A
• 1 B
• -1 C
• None D

• -3 -2i A
• 3 +2i B
• 1 + 2i C
• 1 - 2i D

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

For any real numbers x,y,xy=o ⇒

• x ≠ 0 ∧ y ≠ 0 A
• x = 0 ∨ y = 0 B
• x = 0 C
• y = 0 D

If a and b are real numbers then a+b is also real number this law is called

• associative law of addition A
• closure law of addition B
• Distributive law of addition C
• Commutative law of addition D

• 
  A
• 
  B
• 
  C
• 
  D

• Additive property in R A
• Multiplication property in R B
• Cancellation property in R C
• Distribution property in R D

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

In R the number of identity elements w.r.t.'.' is

• One A
• Two B
• Three C
• Four 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

If 0 = R, thenthe additive inverse of a is

• 1/9 A
• ^1/-9 B
• a C
• -a D

• A rational number A
• A irrational number B
• An even integer C
• A factor of 36 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 = -1 C
• X = 2, y = 2 D

The multiplicative inverse ofx^(-1) is

• x A
• a-2 B
• 0 C
• 1 D

i¹⁰¹ =

• i A
• i² B
• -i C
• -1 D

If a > b or a < b than a = b is a

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

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

The multiplicative inverse of (a,b) is

• 
  A
• 
  B
• 
  C
• 
  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

The set {1, 2, 3, 4, ....} is called

• Set of Natural numbers A
• Set of whole numbers B
• Set of rational number C
• Set of irrational numbers D

If ∀a,b ε R,then a +b  ε  R is a property

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

There is no element common in

• N and W A
• E and W B
• N and O C
• Q and Q' D