ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

3/2 is

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

• 
  A
• 
  B
• 
  C
• 
  D

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

1.4142135... is ______

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

The order axioms are satisfied by set of

• C A
• C and R B
• R C
• None of these D

Which element is the additive inverse of (a, b) in Complex numbers?

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

• Principle of equality of fractions A
• Rule for product of fractions B
• Golden rule for fractions C
• Rule for quotient of fractions D

• Reflexive property A
• Symmetric property B
• Cancellations property w.r.t. addition C
• Transitive property D

In polar form of complex number r =

• 
  A
• 
  B
• 
  C
• 
  D

(a^-1)^-1=

• a^-1 A
• a B
• -a C
• None of above 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

∀ 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

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

If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

• (ac,bd) A
• (ac+bd, ad-bc) B
• (ac-bd , ad+bc) C
• (ac-bd , ad-bc) D

• 
  A
• 
  B
• 
  C
• 
  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

• Principle of equality of fractions A
• Rule for product of fractions B
• Golden rule for fractions C
• Rule for quotient of fractions D

√11 is

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

Multiplicative inverse of "1" is

• 0 A
• ±1 B
• 1 C
• {0,1} D

In R, the multiplicative inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

If P is a whole number greater than 1, which has only P and I are factors. Then P is called

• Wholw number A
• Prime number B
• Even number C
• Odd number D

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

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

Zero is

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

√23 is

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

The property used in -3 <-2 ⇒0 <1

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

The set { 1 , -1} is closed w.r.t.

• Addition A
• Multiplications B
• Subtraction C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D