ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

√2 is a number

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

• 
  A
• 
  B
• 
  C
• 
  D

The value of x, and y, when (x + iy)²= 5 + 4i

• X = 2, y = 1 A
• X = -2, y = 1 B
• X = 2, y = -1 C
• X = 2, y = 2 D

∀ z ∈ C, multipliucative is

• (1,1) A
• (1,0) B
• (0,1) C
• None of these D

What is the conjugate of -7 -2i ?

• -7 + 2i A
• 7 +2i B
• 7 -2i C
• √53 D

Every recurring decimal represents

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

Zero is

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

√11 is

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

202.04 is an example of

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

• 
  A
• 
  B
• 
  C
• 
  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

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

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

(a,b) +(-a,-b) =

• (0,0) A
• (a,b) B
• (-a,-b) C
• (1,1) 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

The property used in -3 <-2 ⇒0 <1

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

(a +bi) -c (c +di) =

• (a +b) = (c +d) A
• (a +c) + i(b +d) B
• (a -c) + (c -d)i C
• (a -c) +(b -d) i D

• Commutative property of addition A
• Closure property of addition B
• Additive inverse C
• Associative property w.r.t. to addition D

The solution set of the equation |3x + 2| = 5 is

• 
  A
• 
  B
• 
  C
• 
  D

If z₁ =√-36 ,z₂ =√-25,z3 =√-16 then

• 15 A
• 15i B
• -15i C
• -15 D

3/2 is

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

The multiplicative inverse of 4 is

• -4 A
• -1/4 B
• 1/4 C
• 1 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

• Closure law of addition A
• Associative law of addition B
• Additive inverse C
• Additive identity D

∀a,b ε R, ab = be is a

• Commutative law of multiplication A
• Closure law of multiplication B
• Associative law of multiplication C
• Multiplicative identity 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

The order axioms are satisfied by set of

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