ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

If Z₁= 1 + i, Z₂= 2+3i, then |Z₂- Z₁| = ?

• 
  A
• 
  B
• 
  C
• 
  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 = a A
• a < a B
• a > a C
• a²= a D

√25 is a number

• Rational A
• Irrational B
• Natural C
• Odd 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

If Z₁= 1 + i, Z₂= 2+3i, then |Z₁- Z₂| = ?

• 
  A
• 
  B
• 
  C
• 
  D

• (x, y) A
• (kx, y) B
• (x, ky) C
• (kx, ky) D

What is the conjugate of -6 -i?

• -6 +i A
• 6+i B
• -6 -i C
• 6 -i D

Every real number is

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

• 
  A
• 
  B
• 
  C
• 
  D

In set builder notation the set {0,1,2,........100} can be written as

• {x / xε B ∧ x ≤ 100} A
• {x / x ∈ W ∧ x < 101} B
• {x / x ∈ Z ∧ x < 101} C
• The set of first 100 whole numbers D

The set {1,2,3,4......} is called

• Set of natural numbers A
• Set of whole numbers B
• Set of rational number C
• Set of irrational numbers D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

If a > b or a < b than a = b is a

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

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

• 1 A
• -1 B
• 
  C
• 
  D

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

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist 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

1/3 is ______

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

The negative square root of 9 can be written as:

• -√9 A
• √9 B
• √18 C
• -√18 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

In R the number of identity element w.r.t '+' is

• One A
• Two B
• Three C
• Four D

• -3 -2i A
• 3 +2i B
• 1 + 2i C
• 1 - 2i D