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

What is the conjugate of -6 -i

• -6 +i A
• 6 + i B
• -6 -i C
• 6 -i D

• 1 A
• -i B
• i C
• 0 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

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

• √5 A
• √7 B
• -1-2i C
• √3 D

• 
  A
• 
  B
• 
  C
• 
  D

4/√49 is a

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

• 0 A
• 1 B
• -1 C
• 2 D

O is ______

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

In R, the additive identity is

• 0 A
• 1 B
• -1 C
• None D

The polar form of complex number x ≠ I y =

• r cos θ+ r sin θ A
• r cos θ+ is sin θ B
• cos θ+ r sin θ C
• i cos θ+ i sin θ D

• 1 A
• -1 B
• 
  C
• 
  D

Q∪ Q' =

• Q A
• Q' B
• N C
• R D

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

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

The symbol of irrational is

• W A
• N B
• Q C
• Q' D

The product of complex numbers (a,b) and (c,d) is

• (ac, bd) A
• (ac-bd, ad+bc) B
• (ab,cd) C
• (ac+bd,ad-bc) D

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

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

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

0.25 is ______

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

Decimal part of irrational number is

• Terminating A
• Repeating only B
• Neither repeating nor terminating C
• Repeating and terminating D

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

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following sets has closure property w.r.t. addition

• { 0 } A
• { 1 } B
• { 0, -1} C
• { 1, -1} D

The multiplicative inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 1 D

• 
  A
• 
  B
• 
  C
• 
  D

The property used in -3 <-2 ⇒0 <1

• Commutative property A
• Additive property of inequality B
• Additive inverse C
• Additive 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

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

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

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

The value of i⁴ⁿ⁺¹

• 1 A
• -1 B
• i C
• i² D

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