ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

In R the left cancellation property w.r.t addition is

• 
  A
• 
  B
• 
  C
• 
  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

Such fraction which can not be written in the form ofp⁄q where p,q and q≠ 0,such fractions are called.

• Fractinal numbers A
• Rational Numbers B
• Even Numbers C
• Whole Numbers D

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

• 
  A
• 
  B
• 
  C
• 
  D

Zero is

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• Rational A
• Irrational B
• Even C
• Odd D

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

• 
  A
• 
  B
• 
  C
• 
  D

∀a,b, c ε R,a +c = b + c = > a = b

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

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

Every real number is

• a positive integer A
• a rational number B
• a negative integer C
• a complex number D

What is the conjugate of -6 -i

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

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

The multiplicative inverse of 1 - 2i is

• 
  A
• 
  B
• 
  C
• 
  D

If P is a whole number greater than 1, which has only P and I are factors. Then P is called

• Wholw number A
• Prime number B
• Even number C
• Odd number D

• 
  A
• 
  B
• 
  C
• 
  D

• (x, y) A
• (kx, y) B
• (x, ky) C
• (kx, ky) D

(a-1)-1 =

• a-1 A
• a B
• -a C
• None of above D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

Any recurring decimal represents a

• Irrational no A
• Integer B
• Rational no C
• None of these D

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

• √3 i A
• √7 B
• -2-i C
• √5 D

The√ is used for the

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

Some of two real numbers is also a real number , this property is called:

• Commutative property w.r.t addition A
• Closure property w.r.t. addition B
• Associative property w.r.t. addition C
• Distributive property w.r.t addition D

The equation |x +4| = x has solution

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