ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a

• Symmetric property A
• Cancellation property w.r.t multiplication B
• Reflexive property C
• Transitive property 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

π is ______

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

202.04 is an example of

• Recurring decimals A
• Non-recurring decimals B
• Terminating decimals C
• None of above D

• N A
• r B
• 2r C
• π D

Union of the sets of rational and irrational numbers is called 6th set of

• Natural numbers A
• Real numbers B
• Whole numbers C
• Prime numbers D

(7,9) +(3,-5) =

• (4,4) A
• (10,4) B
• (9,-5) C
• (7,3) D

• 
  A
• 
  B
• 
  C
• 
  D

The multiplicative inverse ofx^(-1) is

• x A
• a-2 B
• 0 C
• 1 D

Every irrational number is

• A real number A
• A prime number B
• A natural number C
• An integer D

Which element is the additive inverse of (a, b) in Complex numbers?

• (a, 0) A
• (0, b) B
• (a, b) C
• (-a, -b) D

The set of rational number is represented by

• W A
• R B
• Q' C
• Q
  
  
  D

The additive inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 0 D

• x A
• 
  B
• y C
• 
  D

I is not

• Real number A
• Natural number B
• Prime Number C
• Whole Number D

A non-terminating, non-recurring decimal represent

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

• 
  
  
  A
• 
  B
• 
  C
• 
  D

If z₁ =√-36 ,z₂ =√-25,z3 =√-16 then

• 15 A
• 15i B
• -15i C
• -15 D

It is not possible to find the exact value of

• π A
• √9 B
• ∛27 C
• √1 D

• (a + b)c = ac + bc A
• a + b = b + a B
• (a + b) + c = a + (b + c) C
• a(b +c) = ab + ac D

The multiplicative inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

Q∪ Q' =

• Q A
• Q' B
• N C
• R D

2.333....is a

• Irrational no A
• Complex no B
• Rational no C
• None of these 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

If a set S contains n elements then P (S) has ........ number of elements

• 2ⁿ A
• 2ⁿ² B
• 2.n C
• n² 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

• 
  A
• 
  B
• 
  C
• 
  D

• -8 A
• 8 B
• 8i C
• 32 D

QUQ'

• 
  A
• 
  B
• 
  C
• 
  D