ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

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

• 
  A
• 
  B
• 
  C

Associative law of multiplication

• ab - ba A
• a(bc) = (ab) c B
• a(b + c) = ab +ac C
• (a +b)c = ac + bc D

0.25 is ______

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

∀x,y,z ∈ R and z 0,then

• x > y ⇒ xz > yz A
• x<y ⇒ xz < yz B
• x < y ⇒ xz > yz C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• real number A
• complex number B
• rational number C
• irrational number D

• 
  A
• 
  B
• 
  C
• 
  D

Every real number is

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

• Additive property of inequality A
• Commutative property B
• Additive inverse C
• Additive identity D

√2 is a number

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

In R, the multiplicative inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

If z₁ = 1 + 2i, z₂ = 3 + 4i then

• z₁ > z₂ A
• z₁ = z₂ B
• z₁ < z₂ C
• None of these 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

√23 is

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

If a and b are real numbers then a+b is also real number this law is called

• associative law of addition A
• closure law of addition B
• Distributive law of addition C
• Commutative law of addition D

The identity element with respect to subtraction is

• 0 A
• -1 B
• 0 and 1 C
• None of thes D

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

I is not

• Real number A
• Natural number B
• Prime Number C
• Whole Number D

Multiplicative inverse of "1" is

• 0 A
• ±1 B
• 1 C
• {0,1} D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Union of the sets of rational and irrational numbers is called 6th set of

• Natural numbers A
• Real numbers B
• Whole numbers C
• Prime numbers D

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

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

∀a,b,c∈R and c>0,then

• a>b ⇒ ac < bc A
• a>b ⇒ ac > bc B
• a<b ⇒ ac > bc C
• None of these D

• 
  A
• 1 B
• -1 C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

i =

• 
  A
• 
  B
• 
  C
• 
  D