ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

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

The square root of every incomplete square is an

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

√2 +√3 +√5) = (√2 +√3 +√5: this property is called

• associative property w.r.t addition A
• commutative property B
• Closure property w.r.t addition C
• Additive identity D

Multiplicative inverse of "1" is

• 0 A
• ±1 B
• 1 C
• {0,1} D

• z is purely imaginary A
• a is any complex number B
• z is real C
• None of these 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

Which of the following has the same value as i¹¹³?

• i A
• -1 B
• -i C
• 1 D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

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

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

What is the conjugate of -7 -2i?

• -7 + 2i A
• 7 + 2i B
• 7 -2i C
• None of these 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

The order axioms are satisfied by set of

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

• 1 A
• 3 B
• 2-i C
• -1 D

√2 is a number

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

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

• 0 A
• 1 B
• -1 C
• None of these D

24 can be written as a product of

• Odd factors A
• Even factors B
• Whole factors C
• Prime factors 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

If z = (x,y) , then  z ̅  =

• (-x,y) A
• (x,-y) B
• (-x, -y) C
• None of these D

(a-1)-1 =

• a-1 A
• a B
• -a C
• None of above D

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

The value of i⁴ⁿ⁺¹

• 1 A
• -1 B
• i C
• i² D

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

∀x,y,z ∈ R and z 0,then

• x > y ⇒ xz > yz A
• x<y ⇒ xz < yz B
• x < y ⇒ xz > yz C
• None of these D

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

• 
  A
• 
  B
• 
  C
• 
  D