ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

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

• (a + b)c = ac + bc A
• a + b = b + a B
• (a + b) + c = a + (b + c) C
• a(b +c) = ab + ac D

The set of rational number is represented by

• W A
• R B
• Q' C
• Q
  
  
  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

Rational number is a number which can be written as a terminating decimal fraction or a

• Non-terminating decimal fraction A
• Non-recurring B
• Recurring decimal fraction C
• a, b and c D

• 
  A
• 
  B
• 
  C
• 
  D

The decimal fraction in which we have finite number of digits in its decimal part is called.

• recurring decimal fraction A
• Non terminating faction B
• Non recurring fraction C
• terminating decimal fraction D

1.4142135... is ______

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

• N A
• r B
• 2r C
• π D

• 
  A
• 
  B
• 
  C
• 
  D

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

The multiplicative inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 1 D

i⁹ =

• i² A
• -1 B
• 1 C
• i D

• 
  A
• 
  B
• 
  C
• 
  D

• Associative property of addition A
• Commutative property of addition B
• Distributive property C
• Additive identity 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

• 
  A
• 
  B
• 
  C
• 
  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 sets has closure property w.r.t. addition

• { 0 } A
• { 1 } B
• { 0, -1} C
• { 1, -1} D

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

• √3 i A
• √7 B
• -2-i C
• √5 D

• 0 A
• 1 B
• -1 C
• 2 D

The multiplicative inverse of 4 is

• -4 A
• -1/4 B
• 1/4 C
• 1 D

∀x, y ∈ R, either x = y or x > y or x < y is

• Transitive property A
• Reflexive property B
• Trichotomy property 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

The equation |x +4| = x has solution

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

• 
  A
• 
  B
• 
  C
• 
  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

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

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

• √5 A
• √7 B
• -1-2i C
• √3 D