ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 1

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist 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

Name the property used in 1000 x 1 = 1000

• additive inverse A
• multiplicative inverse B
• additive identity C
• multiplicative identity D

Every natural number is

• A prime number A
• An irrational number B
• An integer C
• An even number D

Any recurring decimal represents a

• Irrational no A
• Integer B
• Rational no C
• None of these D

The multiplicative inverse of 1 - 2i is

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following has the same value as i¹¹³?

• i A
• -1 B
• -i C
• 1 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

i⁹ =

• i² A
• -1 B
• 1 C
• i D

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

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

The solution set of the equation |3x + 2| = 5 is

• 
  A
• 
  B
• 
  C
• 
  D

i is equal

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

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

• √3 i A
• √7 B
• -2-i C
• √5 D

• 15 A
• 15 i B
• -15 i C
• -15 D

The set {1,2,3,4......} is called

• Set of natural numbers A
• Set of whole numbers B
• Set of rational number C
• Set of irrational 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

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

The identity element with respect to subtraction is

• 0 A
• -1 B
• 0 and 1 C
• None of thes D

1.4142135... is ______

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

If z₁ = 1 + 2i, z₂ = 3 + 4i then

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

What is the conjugate of -7 -2i ?

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

The sum of complex number (a,b) and (c,d) is

• 
  A
• 
  B
• 
  C
• 
  D

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

The additive inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 0 D

What is the conjugate of -7 -2i?

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