ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

The additive identity of real number is

• 1 A
• 2 B
• 1/2 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

a >b, b >c ⇒a >c is a

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

In R, the additive inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

• 
  A
• 1 B
• -1 C
• 
  D

• 1 A
• -1 B
• 
  C
• 
  D

(7, 9) + (3, -5) =

• (4, 4) A
• (10, 4) B
• (9, -5) C
• (7, 3) D

• 
  A
• 
  B
• 
  C
• 
  D

Multiplicative inverse of "1" is

• 0 A
• ±1 B
• 1 C
• {0,1} 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

∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a

• Symmetric property A
• Cancellation property w.r.t multiplication B
• Reflexive property C
• Transitive property D

• a = a A
• a < a B
• a > a C
• a²= a D

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

The multiplicative inverse of -3i is

• 3i A
• -3i B
• -1/3i C
• 1/3 i D

The equation |x +4| = x has solution

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

(7,9) +(3,-5) =

• (4,4) A
• (10,4) B
• (9,-5) C
• (7,3) D

In polar form of complex number r =

• 
  A
• 
  B
• 
  C
• 
  D

The additive inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

In (x + iy), y is called as

• Imaginary part A
• Complex number B
• Real part C
• None of above D

• 
  A
• 
  B
• 
  C
• 
  D

The square root of 2i - 20i is

• +-(5 - 2i) A
• +-(5 + 2i) B
• (5 - 2i) C
• None of these D

• 15 A
• 15 i B
• -15 i C
• -15 D

• 
  A
• 
  B
• 
  C
• 
  D

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

The additive inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

What is the conjugate of -7 -2i?

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