ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

√2 +√3 +√5) = (√2 +√3 +√5: this property is called

• associative property w.r.t addition A
• commutative property B
• Closure property w.r.t addition C
• Additive identity D

• real number A
• complex number B
• rational number C
• irrational number D

In set builder notation the set {0,1,2,........100} can be written as

• {x / xε B ∧ x ≤ 100} A
• {x / x ∈ W ∧ x < 101} B
• {x / x ∈ Z ∧ x < 101} C
• The set of first 100 whole numbers D

The additive inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 0 D

Name the property used in 100 + 0 = 100

• Additive inverse A
• Multiplicative inverse B
• Additive identity C
• Multiplicative identity D

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

The equation |x + 4| = x has solution

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

i² =

• 1 A
• 2 B
• -1 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

If z₁ =√-36 ,z₂ =√-25,z3 =√-16 then

• 15 A
• 15i B
• -15i C
• -15 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

Every prime number is also

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

The multiplicative inverse of 4 is

• -4 A
• -1/4 B
• 1/4 C
• 1 D

0 (zero) is

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

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

• One A
• Two B
• Three C
• Four D

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

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

0.25 is ______

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

If 4 > b or a < b than a = b is a

• Additive property A
• Transitive property B
• Trichotomy property of inequality C
• None of above D

• 
  
  
  A
• 
  B
• 
  C
• 
  D

In R, the additive identity is

• 0 A
• 1 B
• -1 C
• None D

• additive property A
• multiplicative 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

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

Some of two real numbers is also a real number , this property is called:

• Commutative property w.r.t addition A
• Closure property w.r.t. addition B
• Associative property w.r.t. addition C
• Distributive property w.r.t addition D

Q∪ Q' =

• Q A
• Q' B
• N C
• R D

The set { 1 , -1} is closed w.r.t.

• Addition A
• Multiplications B
• Subtraction C
• None of these D

• a = a A
• a < a B
• a > a C
• a²= a D

• 1 A
• 3 B
• 2-i C
• -1 D

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