ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 1 (Number System)

The square root of every incomplete square is an

• Rational numbers A
• Even numbers B
• odd numbers C
• Irrational numbers D

If A = {x / x ∈ R ∧ x² - 16 = 0} then A =

• - x A
• Infinite set B
• Φ C
• {-4,4} D

If a is any real number and a = a is called

• symmetric property A
• Trichotomy Properties B
• Transitive Property C
• Reflexive Properties D

Name the property used in a (b-c) = ab - ac

• commutative property of multiplication A
• distributive property of multiplication B
• associative property of multiplication C
• multiplicative inverse D

√(-1b) =?

• b i A
• -i b B
• b2 C
• i√b D

In (x +iy) y is called as

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

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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

In R, the additive inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

QUQ, =

• N A
• R B
• W C
• Z D

The multiplicative inverse of 4 is

• -4 A
• -1/4 B
• 1/4 C
• 1 D

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

• 
  A
• 
  B
• 
  C
• 
  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 z₁ =√-36 ,z₂ =√-25,z3 =√-16 then

• 15 A
• 15i B
• -15i C
• -15 D

Additive inverse of - a - b is

• a A
• -a + b B
• a - b C
• a + b D

• 
  A
• 
  B
• 
  C
• 
  D

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

• Set of whole number A
• Rational Numbers B
• Complex numbers C
• Whole numbers D

3/4 is ______

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

The square root of 2i - 20i is

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

∀x,y∈R and x> 0 , y>0, if x > y

• 
  A
• 
  B
• 
  C
• None of these D

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

Multiplicative inverse of 0 is

• 0 A
• 1 B
• ±1 C
• Does not exist D

In R, the multiplicative inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

Geometrically, the modulus of a complex number represents its distance from the

• Point (1, 0) A
• Point (0, 1) B
• Point (1, 1) C
• Point (0, 0) D

• 
  A
• 
  B
• 
  C
• 
  D

• -8 A
• 8 B
• 8i C
• 32 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D