ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

Associative law of multiplication

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

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

• √3 i A
• √7 B
• -2-i C
• √5 D

What is the conjugate of -6 -i

• -6 +i A
• 6 + i B
• -6 -i C
• 6 -i D

• 
  A
• 
  B
• 
  C
• 
  D

The real number system contains.

• Positive Numbers A
• Negative numbers B
• Zero C
• (option a, b and c) D

24 can be written as a product of

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

i⁹ =

• i² A
• -1 B
• 1 C
• i D

• 
  A
• 
  B
• 
  C
• 
  D

∀a,b, c ε R,a +c = b + c = > a = b

• Reflexive property A
• Symmetric property B
• Cancellations property w.r.t. addition C
• Transitive property D

If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

• (ac,bd) A
• (ac+bd, ad-bc) B
• (ac-bd , ad+bc) C
• (ac-bd , ad-bc) D

Which of the following sets has closure property w.r.t. addition

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

What is the conjugate of -7 -2i ?

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Every recurring decimal represents

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

Additive inverse of - a - b is

• a A
• -a + b B
• a - b C
• a + b D

√23 is

• A rational number A
• A irrational number B
• An even integer C
• A factor of 36 D

A prime number can be a factor of a square only if it occurs in the square at least

• Once A
• Thirce B
• Twice C
• None of these D

The multiplicative inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 1 D

• 
  A
• 
  B
• 
  C

The multiplicative inverse ofx^(-1) is

• x A
• a-2 B
• 0 C
• 1 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
• 
  B
• 
  C
• 
  D

Union of the sets of rational and irrational numbers is called 6th set of

• Natural numbers A
• Real numbers B
• Whole numbers C
• Prime numbers D

The set of rationals numbers between 0 and I is

• Finite A
• Null set B
• Infinite C
• None of these D

The product of complex numbers (a,b) and (c,d) is

• (ac, bd) A
• (ac-bd, ad+bc) B
• (ab,cd) C
• (ac+bd,ad-bc) D

• 15 A
• 15 i B
• -15 i C
• -15 D

√11 is

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

The multiplicative inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D