ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

If z = (x,y) , then  z ̅  =

• (-x,y) A
• (x,-y) B
• (-x, -y) C
• None of these 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

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 -3i is

• 3i A
• -3i B
• -1/3i C
• 1/3 i D

A subset of set of complex number whose elements are of the form (a,0) is called

• Real number A
• Complex number B
• Rational number C
• Irrational number D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

In R, the additive identity is

• 0 A
• 1 B
• -1 C
• None D

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

√23 is

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

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

• Additive property in R A
• Multiplication property in R B
• Cancellation property in R C
• Distribution property in R D

Every real number is

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

Name the property used in 4 x (5 x 8) = ( 4 x 5) x 8

• Associative property of addition A
• Associative property of multiplication B
• Additive identity C
• Multiplicative identity D

The negative square root of 9 can be written as:

• -√9 A
• √9 B
• √18 C
• -√18 D

Every recurring decimal represents

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

• 
  A
• 
  B
• 
  C
• 
  D

∀ a ε R ∃ o ε R such that a + v = 0 + a = a is property of

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

In (x + iy), y is called as

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

In R, the multiplicative inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

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

If z₁ = 1 + 2i, z₂ = 3 + 4i then

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

1.4142135... is ______

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

Name the property used in 4 + 9 = 9 + 4

• Associative property of addition A
• Commutative property of addition B
• Distributive property C
• Additive identity D

• Symmetric property A
• Cancellation property w.r.t. multiplication B
• Reflexive property C
• Transitive property 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

Associative law of multiplication

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

√11 is

• an irrational number A
• Rational number B
• odd number C
• Negative number D