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

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

• 1 A
• 4 B
• 8 C
• 12 D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 15 A
• 15 i B
• -15 i C
• -15 D

(a, b) + (-a, -b) =

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

• 
  A
• 
  B
• 
  C
• 
  D

• Commutative law of multiplication A
• Closure law of multiplication B
• Associative law of multiplication C
• Multiplication identity 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

In polar form of complex number r =

• 
  A
• 
  B
• 
  C
• 
  D

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

• One A
• Two B
• Three C
• Four D

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

Decimal part of irrational number is

• Terminating A
• Repeating only B
• Neither repeating nor terminating C
• Repeating and terminating D

√(-1b) =?

• b i A
• -i b B
• b2 C
• i√b D

Name the property used in 4.1 + (-4.1) = 0

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

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

In R, the multiplicative inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

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

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

• 0 A
• 1 B
• -1 C
• 2 D

The multiplicative inverse ofx^(-1) is

• x A
• a-2 B
• 0 C
• 1 D

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

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

∀a,b, c ε R,a +c = b + c = > a = b

• Reflexive property A
• Symmetric property B
• Cancellations property w.r.t. addition C
• Transitive property D

In (x +iy) y is called as

• Imaginary part A
• Complex number B
• Real part C
• None of above D

• 
  A
• 
  B
• 
  C
• 
  D

• real part of z A
• imaginary part of z B
• conjugate of z C
• modulus of z 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

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