ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

The set {1, 2, 3, 4, ....} is called

• Set of Natural numbers A
• Set of whole numbers B
• Set of rational number C
• Set of irrational numbers D

(a +bi) -c (c +di) =

• (a +b) = (c +d) A
• (a +c) + i(b +d) B
• (a -c) + (c -d)i C
• (a -c) +(b -d) i D

• 
  A
• 
  B
• 
  C
• 
  D

a >b ⇒a +c >b +c is known as

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

The additive inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

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

In (x + iy) x is the known as

• Imaginary part of complex number A
• Real part of complex number B
• Complex number C
• None of above D

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

• 
  A
• 
  B
• 
  C
• 
  D

π is ______

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

∀x,y∈ R and x < 0, y < 0, which one is true 

• xy < o A
• xy = o B
• xy > o C
• None of these D

If a > b or a < b than a = b is a

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

• 
  A
• 
  B
• 
  C
• 
  D

• Closure law of addition A
• Associative law of addition B
• Commutative law of multiplication C
• Associative law of multiplication D

Every whole number is

• A real number A
• An irrational number B
• A prime number C
• A negative integer D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• a = a A
• a < a B
• a > a C
• a²= a D

It is not possible to find the exact value of

• π A
• √9 B
• ∛27 C
• √1 D

For each real number, there is a number which is its

• Negative A
• Possitive B
• Opposite C
• Similar D

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

• 
  A
• 
  B
• 
  C
• 
  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

The multiplicative inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

• 1 A
• 3 B
• 2-i C
• -1 D

• 
  A
• 
  B
• 
  C
• 
  D

3/4 is ______

• An odd number A
• An even number B
• A natural number C
• A rational number D

i¹⁰¹ =

• i A
• i² B
• -i C
• -1 D