ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

If z₁ = 1 + 2i, z₂ = 3 + 4i then

• z₁ > z₂ A
• z₁ = z₂ B
• z₁ < z₂ C
• None of these D

• -3 -2i A
• 3 +2i B
• 1 + 2i C
• 1 - 2i D

√(-1b) =?

• b i A
• -i b B
• b2 C
• i√b D

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

• A rational number A
• An irrational number B
• An odd number C
• A prime number 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

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

• A prime number A
• An integer B
• A whole number C
• An irrational number 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

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

• 1 A
• 4 B
• 8 C
• 12 D

(a^-1)^-1=

• a^-1 A
• a B
• -a C
• None of above D

The set of rational number is represented by

• W A
• R B
• Q' C
• Q
  
  
  D

4/√49 is a

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

If z₁ =√-36 ,z₂ =√-25,z3 =√-16 then

• 15 A
• 15i B
• -15i C
• -15 D

The set of positive integers, 0 and negative integers is known as the set of

• Natural numbers A
• Rational numbers B
• All integers C
• Irrational numbers D

The additive inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

Such fraction which can not be written in the form ofp⁄q where p,q and q≠ 0,such fractions are called.

• Fractinal numbers A
• Rational Numbers B
• Even Numbers C
• Whole Numbers D

24 can be written as a product of

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

Multiplicative inverse of "1" is

• 0 A
• ±1 B
• 1 C
• {0,1} D

∀a,b ε R, ab = be is a

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

In R, the multiplicative identity is

• 0 A
• 1 B
• -1 C
• None D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

∀ z ∈ C, multipliucative is

• (1,1) A
• (1,0) B
• (0,1) C
• None of these D

Any whole number can be written as a product of factors which are

• Odd numbers A
• Prime number B
• Rational number C
• Even number D

In (x +iy) y is called as

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

Multiplicative inverse of 0 is

• 0 A
• 1 B
• ±1 C
• Does not exist D

The equation |x +4| = x has solution

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

Name the property used in 100 + 0 = 100

• Additive inverse A
• Multiplicative inverse B
• Additive identity C
• Multiplicative identity D