ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

The set of natural no. is closed under

• multiplication A
• subtraction B
• difference C
• division 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

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

π is the ration of

• Area of a circle to its diameter A
• Area of a circle to its radius B
• Circumference of a circle to its diameter C
• Circumference of circle to its radius D

• 
  A
• 
  B
• 
  C
• 
  D

√(-1b) =?

• b i A
• -i b B
• b2 C
• i√b D

∀ z ∈ C, multipliucative is

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

• 
  A
• 
  B
• 
  C
• 
  D

∀ a ε R ∃ o ε R such that a + v = 0 + a = a is property of

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

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

The real number system contains.

• Positive Numbers A
• Negative numbers B
• Zero C
• (option a, b and c) D

The multiplicative inverse ofx^(-1) is

• x A
• a-2 B
• 0 C
• 1 D

• additive property A
• multiplicative property B
• additive inverse C
• additive identity D

Which of the following has the same value as i¹¹³?

• i A
• -1 B
• -i C
• 1 D

Associative law of multiplication

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The set of positive integers, 0 and negative integers is known as the set of

• Natural numbers A
• Rational numbers B
• All integers C
• Irrational numbers D

The set { 1 , -1} is closed w.r.t.

• Addition A
• Multiplications B
• Subtraction C
• None of these D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

6 is

• A prime integar A
• An irrational number B
• A rational number C
• An odd integer D

• 
  A
• 
  B
• 
  C
• 
  D

i⁹ =

• i² A
• -1 B
• 1 C
• i D

The order axioms are satisfied by set of

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

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