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

Any recurring decimal represents a

• Irrational no A
• Integer B
• Rational no C
• None of these D

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

• One A
• Two B
• Three C
• Four D

The set of rational number is represented by

• W A
• R B
• Q' C
• Q
  
  
  D

Which of the following has the same value as i¹¹³?

• i A
• -1 B
• -i C
• 1 D

• Reflexive property A
• Symmetric property B
• Transitive 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

Total number of subsets that can be formed out of the set {a,b,c} is

• 1 A
• 4 B
• 8 C
• 12 D

∀x,y∈R and x> 0 , y>0, if x > y

• 
  A
• 
  B
• 
  C
• None of these D

Q∪ Q' =

• Q A
• Q' B
• N C
• R D

O is ______

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

√(-1b) =?

• b i A
• -i b B
• b2 C
• i√b D

The sum of complex number (a,b) and (c,d) is

• 
  A
• 
  B
• 
  C
• 
  D

If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

• (ac,bd) A
• (ac+bd, ad-bc) B
• (ac-bd , ad+bc) C
• (ac-bd , ad-bc) 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

Multiplicative inverse of 0 is

• 0 A
• 1 B
• ±1 C
• Does not exist D

• 1 A
• -i B
• i C
• 0 D

6 is

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

i³ =

• -1 A
• i B
• -i C
• 1 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

1/3 is ______

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

Name the property used in 4 + 9 = 9 + 4

• Associative property of addition A
• Commutative property of addition B
• Distributive property C
• Additive identity D

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

i =

• √1 A
• √2 B
• √-2 C
• √-1 D

If z = (x,y) , then  z ̅  =

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

The set {0,-1} hold closure property under

• Addition A
• Both a & c B
• Multiplication C
• None of these D

The conjugate of √5 i is

• √5 A
• -√5 i B
• i C
• 5i D

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

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