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

Name the property used in 4 x (5 x 8) = ( 4 x 5) x 8

• Associative property of addition A
• Associative property of multiplication B
• Additive identity C
• Multiplicative identity D

∀x, y ∈ R, either x = y or x > y or x < y is

• Transitive property A
• Reflexive property B
• Trichotomy property C
• None of these D

In R, the additive inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

• 
  A
• 
  B
• 
  C
• None of these 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

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

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

π is ______

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

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

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

if Z1 = 1+i, Z2= 2+3i, then |Z2 -Z1| =

• √3 i A
• √7 B
• -2-i C
• √5 D

The property used in -3 <-2 ⇒0 <1

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

Every irrational number is

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

The set {1,2,3,4......} is called

• Set of natural numbers A
• Set of whole numbers B
• Set of rational number C
• Set of irrational numbers D

• Set of whole number A
• Rational Numbers B
• Complex numbers C
• Whole numbers D

The multiplicative inverse of 1 - 2i is

• 
  A
• 
  B
• 
  C
• 
  D

The additive inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

∀x,y∈R and x> 0 , y>0, if x > y

• 
  A
• 
  B
• 
  C
• None of these D

What is the conjugate of -7 -2i ?

• -7 + 2i A
• 7 +2i B
• 7 -2i C
• √53 D

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

The equation |x +4| = x has solution

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

In R, the multiplicative inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

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

i is equal

• (1 , 0) A
• (0 , 1) B
• (1 , 1) C
• (0 , 0) D

i¹⁰¹=

• i A
• i² B
• -i C
• -1 D

The equation |x + 4| = x has solution

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

∀ z ∈ C, multipliucative is

• (1,1) A
• (1,0) B
• (0,1) C
• None of these D