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

If Z = (1,2), then Z^-1 =?

• (0.2, 0.4) A
• (-0.2 ,0.4) B
• (0.2,-0.4) C
• (-0.2,-0.4) D

The set of positive integers, 0 and negative integers is known as the set of

• Natural numbers A
• Rational numbers B
• All integers C
• Irrational numbers D

Which of the following has the same value as i¹¹³?

• i A
• -1 B
• -i C
• 1 D

• additive property A
• multiplicative property B
• additive identity C
• multiplicative identity D

• 
  
  
  A
• 
  B
• 
  C
• 
  D

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

The multiplicative inverse ofx^(-1) is

• x A
• a-2 B
• 0 C
• 1 D

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

In (x +iy) y is called as

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

• Trichotomy property A
• Additive property of inequality B
• Transitive property C
• Multiplicative property D

√-1 b=

• b A
• 2 B
• 2b C
• None of these 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

• 
  A
• 
  B
• 
  C
• 
  D

1.4142135... is ______

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

• 
  A
• 
  B
• 
  C
• 
  D

Every irrational number is

• A real number A
• A prime number B
• A natural number C
• An integer D

∀x,y∈R and x> 0 , y>0, if x > y

• 
  A
• 
  B
• 
  C
• None of these D

The identity element with respect to subtraction is

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

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

• A prime number A
• An integer B
• A whole number C
• An irrational number D

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

The value of i⁴ⁿ⁺¹

• 1 A
• -1 B
• i C
• i² D

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