ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

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

If z=(x,y) then z has no multiplicative inverse when

• x ≠ 0, y = 0 A
• x = 0, y = 0 B
• x = 0, y ≠ 0 C
• None of these D

√-1 b=

• b A
• 2 B
• 2b C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

i² = 

• 1 A
• 2 B
• -1 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

A non-terminating, non-recurring decimal represent

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

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

• Principle of equality of fractions A
• Rule for product of fraction B
• Rule for quotient of fraction C

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

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

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 symbol of irrational is

• W A
• N B
• Q C
• Q' D

Name the property used in 100 + 0 = 100

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

The additive inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

The order axioms are satisfied by set of

• C A
• C and R B
• R C
• None of these D

If z₁ = 1 + 2i, z₂ = 3 + 4i then

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

If Z = (1,2), then Z^-1 =?

• (0.2, 0.4) A
• (-0.2 ,0.4) B
• (0.2,-0.4) C
• (-0.2,-0.4) D

It is not possible to find the exact value of

• π A
• √9 B
• ∛27 C
• √1 D

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

In polar form of complex number r =

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• 3 B
• 2-i C
• -1 D

Such fraction which can not be written in the form ofp⁄q where p,q and q≠ 0,such fractions are called.

• Fractinal numbers A
• Rational Numbers B
• Even Numbers C
• Whole Numbers 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

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

Q∪ Q' =

• Q A
• Q' B
• N C
• R D

• 15 A
• 15 i B
• -15 i C
• -15 D

Multiplicative inverse of 0 is

• 0 A
• 1 B
• ±1 C
• Does not exist D