ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

• 
  A
• 
  B
• 
  C
• 
  D

O is ______

• A positive integer A
• A negative integer B
• A natural number C
• An integer D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

√x = ______ if is a prime number

• Rational no A
• Natural no B
• Irrational no C
• Complex no D

a.a^-1 = a^-1.a = 1 is a

• Commutative law of multiplication A
• Multiplicative identity B
• Associative law of multiplication C
• Multiplicative inverse D

2/9,5/7∈ R,(2│9)(5│7)=10/63∈R this property is called

• Associative property A
• Identity property B
• Commutative property C
• Closure property w.r.t multiplication D

• 
  A
• 
  B
• 
  C
• 
  D

1.4142135... is ______

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

• 
  A
• 
  B
• 
  C
• 
  D

In (x + iy) x is the known as

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

• 
  A
• 
  B
• 
  C
• 
  D

Total number of subsets that can be formed out of the set {a,b,c} is

• 1 A
• 4 B
• 8 C
• 12 D

QUQ, =

• N A
• R B
• W C
• Z D

The multiplicative inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

0.25 is ______

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

What is the conjugate of -7 -2i?

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

A non-terminating non_recurring decimal represents an

• Irrational no A
• Both a & c B
• Rational no C
• None of these D

Q∪ Q' =

• Q A
• Q' B
• N C
• R D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

The√ is used for the

• Positive square root A
• Negative square root B
• +ve and -ve square root C
• Whole number D

Geometrically, the modulus of a complex number represents its distance from the

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

• 
  A
• 
  B
• 
  C
• None of these D

In R, the additive identity is

• 0 A
• 1 B
• -1 C
• None D

(a+bi) - (c+di)=

• (a+b) = (c+d) A
• (a+c) + i(b+d) B
• (a - c) + (c- d)i C
• (a - c)+ (b - d)i D

• 
  A
• 
  B
• 
  C
• 
  D

(a,0) x (c, 0) =

• (0,ac) A
• (ac, 0) B
• (0,0) C
• (a, c) D

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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

(a, b) + (-a, -b) =

• (0,0) A
• (a, b) B
• (-a, -b) C
• (1, 1) D