ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

• z is purely imaginary A
• a is any complex number B
• z is real C
• None of these D

• 0 A
• 1 B
• -1 C
• 2 D

√2 is a number

• Rational A
• Irrational B
• Even C
• Odd 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

a.a^-1= a^-1.a = 1 is a

• Commutative law of multiplication A
• Multiplication identity B
• Associative law of multiplication C
• Multiplication inverse D

Every natural number is

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

The multiplicative inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 1 D

• Associative property of addition A
• Associative property of multiplication B
• Commutative property of addition C
• Commutative property of multiplication D

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

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

QUQ'

• 
  A
• 
  B
• 
  C
• 
  D

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

∀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

If in a set of real no a is additive identity then

• a+a = 2a A
• a+a = 1 B
• a+a = 0 C
• None of these D

Every prime number is also

• Rational number A
• Even number B
• Irrational number C
• Multiple of two numbers D

1/3 is a decimal

• Recurring A
• Terminating B
• Non-terminating C
• None of the above D

• 15 A
• 15 i B
• -15 i C
• -15 D

∀a,b,c∈R and c>0,then

• a>b ⇒ ac < bc A
• a>b ⇒ ac > bc B
• a<b ⇒ ac > bc C
• None of these D

3/2 is

• An irrational number A
• Whole number B
• A positive integer C
• A rational number D

• 
  A
• 1 B
• -1 C
• 
  D

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

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

(√3+√5)+√7 = √3 +(√5 +√7) property used in above is

• Commutative property of addition A
• Closure property of addition B
• Additive inverse C
• Associative property w.r.t to adition D

Which of the following has the same value as i¹¹³?

• i A
• -1 B
• -i C
• 1 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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

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

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

Zero is

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

A non-terminating non_recurring decimal represents an

• Irrational no A
• Both a & c B
• Rational no C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D