ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

√2 is a number

• Rational A
• Irrational B
• Even C
• Odd D

202.04 is an example of

• Recurring decimals A
• Non-recurring decimals B
• Terminating decimals C
• None of above D

The equation |x + 4| = x has solution

• x = -2 A
• x = 2 B
• x = -4 C
• x = 4 D

a >b ⇒a +c >b +c is known as

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

The set of natural no. is closed under

• multiplication A
• subtraction B
• difference C
• division D

Every natural number is

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

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

• Trichotomy property A
• Transitive property B
• Symmetric property C
• Additive property D

Any recurring decimal represents a

• Irrational no A
• Integer B
• Rational no C
• None of these D

A non-terminating non_recurring decimal represents an

• Irrational no A
• Both a & c B
• Rational no C
• None of these D

O is ______

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

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

• 1 A
• 3 B
• 2-i C
• -1 D

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

• √5 A
• √7 B
• -1-2i C
• √3 D

1.4142135... is ______

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

a.a^-1= a^-1.a = 1 is a

• Commutative law of multiplication A
• Multiplication identity B
• Associative law of multiplication C
• Multiplication inverse D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

In R, the additive identity is

• 0 A
• 1 B
• -1 C
• None 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

3/2 is

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

The multiplicative inverse of 4 is

• -4 A
• -1/4 B
• 1/4 C
• 1 D

If a set S contains n elements then P (S) has ........ number of elements

• 2ⁿ A
• 2ⁿ² B
• 2.n C
• n² D

The multiplicative inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 1 D

∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a

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

• 
  A
• 
  B
• 
  C
• 
  D

i¹⁰¹ =

• i A
• i² B
• -i C
• -1 D

The square root of every incomplete square is an

• Rational numbers A
• Even numbers B
• odd numbers C
• Irrational numbers D

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

• 
  A
• 
  B
• 
  C
• 
  D