ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

• Trichotomy property A
• Additive property of inequality B
• Transitive property C
• Multiplicative property D

What is the conjugate of -7 -2i ?

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

i³=

• -1 A
• i B
• -i C
• 1 D

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

In R, the additive inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

0.25 is ______

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

The√ is used for the

• Positive square root A
• Negative square root B
• +ve and -ve square root C
• Whole number D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• Reflexive property A
• Symmetric property B
• Transitive property C
• Additive property D

∀ z ∈ C, multipliucative is

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

Every natural number is

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

• 1 A
• -1 B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

If z₁= 2 + 6i and z₂= 3 + 7i, then which expression defines the product of z₁and z₂?

• 36 + (-32)i A
• -36 + 32i B
• 6 + (-11)1 C
• 0, +(-12)i D

The multiplicative inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

a >b, b >c ⇒a >c is a

• Multiplicative property A
• Additive property B
• Trichotomy property C
• Transitive property of inequality D

The sum of complex number (a,b) and (c,d) is

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

Q∪ Q' =

• Q A
• Q' B
• N C
• R D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• None of these 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

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

• A rational number A
• A irrational number B
• An even integer C
• A factor of 36 D