ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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

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

• 
  A
• 
  B
• 
  C
• 
  D

The order axioms are satisfied by set of

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

4/√49 is a

• Irrational Number A
• Prime Number B
• Rational number C
• Whole number D

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

• 
  A
• 
  B
• 
  C
• 
  D

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

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

Every real number is

• a positive integer A
• a rational number B
• a negative integer C
• a complex number D

√25 is a number

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

• 
  A
• 
  B
• 
  C
• None of these D

The conjugate of √5 i is

• √5 A
• -√5 i B
• i C
• 5i 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

I is not

• Real number A
• Natural number B
• Prime Number C
• Whole Number D

• 0 A
• 1 B
• -1 C
• 2 D

• 
  A
• 
  B
• 
  C
• 
  D

The multiplicative inverse of 4 is

• -4 A
• -1/4 B
• 1/4 C
• 1 D

i is equal

• (1 , 0) A
• (0 , 1) B
• (1 , 1) C
• (0 , 0) D

The set of rational number is represented by

• W A
• R B
• Q' C
• Q
  
  
  D

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

If Z = (1,2), then Z^-1 =?

• (0.2, 0.4) A
• (-0.2 ,0.4) B
• (0.2,-0.4) C
• (-0.2,-0.4) D

• 
  A
• 
  B
• 
  C
• 
  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

6 is

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

The multiplicative inverse ofx^(-1) is

• x A
• a-2 B
• 0 C
• 1 D

• 
  
  
  A
• 
  B
• 
  C
• 
  D

i³=

• -1 A
• i B
• -i C
• 1 D

a >b ⇒a +c >b +c is known as

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

√(-1b) =?

• b i A
• -i b B
• b2 C
• i√b D

The additive inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D