ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

The polar form of complex number x ≠ I y =

• r cos θ+ r sin θ A
• r cos θ+ is sin θ B
• cos θ+ r sin θ C
• i cos θ+ i sin θ D

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
• 
  B
• 
  C
• 
  D

QUQ'

• 
  A
• 
  B
• 
  C
• 
  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

The solution set of the equation |3x + 2| = 5 is

• 
  A
• 
  B
• 
  C
• 
  D

0.25 is ______

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

The additive identity of real number is

• 1 A
• 2 B
• 1/2 C
• 0 D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

(7,9) +(3,-5) =

• (4,4) A
• (10,4) B
• (9,-5) C
• (7,3) D

The multiplicative inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

In R, the additive inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

(a,0) x (c, 0) =

• (0,ac) A
• (ac, 0) B
• (0,0) C
• (a, c) D

In R the number of identity elements w.r.t.'.' is

• One A
• Two B
• Three C
• Four D

• 
  A
• 
  B
• 
  C
• 
  D

a >b, b >c ⇒a >c is a

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

2.333....is a

• Irrational no A
• Complex no B
• Rational no C
• None of these 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

If in a set of real no a is additive identity then

• a+a = 2a A
• a+a = 1 B
• a+a = 0 C
• None of these D

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

The square root of 2i - 20i is

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

A prime number can be a factor of a square only if it occurs in the square at least

• Once A
• Thirce B
• Twice C
• None of these D

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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

π is ______

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

0 (zero) is

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