ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

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

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

If 0 = R, thenthe additive inverse of a is

• 1/9 A
• ^1/-9 B
• a C
• -a D

In R the left cancellation property w.r.t addition is

• 
  A
• 
  B
• 
  C
• 
  D

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

The square root of 2i - 20i is

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

Which of the following has the same value as i¹¹³?

• i A
• -1 B
• -i C
• 1 D

√x = ______ if is a prime number

• Rational no A
• Natural no B
• Irrational no C
• Complex no D

2/9,5/7∈ R,(2│9)(5│7)=10/63∈R this property is called

• Associative property A
• Identity property B
• Commutative property C
• Closure property w.r.t multiplication D

In R the right cancellation property w.r.t. addition is

• 
  A
• 
  B
• 
  C
• 
  D

Any whole number can be written as a product of factors which are

• Odd numbers A
• Prime number B
• Rational number C
• Even number D

Name the property used in 100 + 0 = 100

• Additive inverse A
• Multiplicative inverse B
• Additive identity C
• Multiplicative identity D

In (x + iy), y is called as

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

Additive inverse of - a - b is

• a A
• -a + b B
• a - b C
• a + b D

Total number of subsets that can be formed out of the set {a,b,c} is

• 1 A
• 4 B
• 8 C
• 12 D

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

(√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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Every prime number is also

• Rational number A
• Even number B
• Irrational number C
• Multiple of two numbers D

i³=

• -1 A
• i B
• -i C
• 1 D

The multiplicative inverse of (a,b) is

• 
  A
• 
  B
• 
  C
• 
  D

• real number A
• complex number B
• rational number C
• irrational number 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 rational number A
• An irrational number B
• An odd number C
• A prime number D

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

• Associative property of addition A
• Associative property of multiplication B
• Commutative property of addition C
• Commutative property of multiplication 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

• 0 A
• 1 B
• -1 C
• 2 D

1.4142135... is ______

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