ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• -i B
• i C
• 0 D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

The square roots of negative numbers is called

• Real no A
• Complex no B
• Positive no C
• Negative no D

• Associative law of addition A
• Commutative law of addition B
• Additive identity C
• Closure law of addition 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

If A = {x / x ∈ R ∧ x² - 16 = 0} then A =

• - x A
• Infinite set B
• Φ C
• {-4,4} D

The additive inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 0 D

∀x,y,z ∈ R and z 0,then

• x > y ⇒ xz > yz A
• x<y ⇒ xz < yz B
• x < y ⇒ xz > yz C
• None of these D

i^-(4n+2) = -------------------------------

• 1 A
• i B
• -1 C
• -i D

i³=

• -1 A
• i B
• -i C
• 1 D

Geometrically the modulus of a complex number represents its distance from the

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

The square root of 2i - 20i is

• +-(5 - 2i) A
• +-(5 + 2i) B
• (5 - 2i) C
• None of these D

The square root of every incomplete square is an

• Rational numbers A
• Even numbers B
• odd numbers C
• Irrational numbers D

Every real number is

• A complex number A
• A rational number B
• A natural number C
• A prime number D

i =

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

• Commutative law of multiplication A
• Multiplicative identity B
• Associative law of multiplication C
• Multiplicative inverse 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

1.4142135... is ______

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

The multiplicative inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

• 0 A
• 1 B
• -1 C
• None of these D

The value of i⁴ⁿ⁺¹

• 1 A
• -1 B
• i C
• i² D

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

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

What is the conjugate of -6 -i

• -6 +i A
• 6 + i B
• -6 -i C
• 6 -i D