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

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

• -8 A
• 8 B
• 8i C
• 32 D

• 0 A
• 1 B
• -1 C
• None of these D

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

If z₁ = 1 + 2i, z₂ = 3 + 4i then

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

1/3 is ______

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

√(-1b) =?

• b i A
• -i b B
• b2 C
• i√b D

• 
  A
• 
  B
• 
  C
• 
  D

The multiplicative inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

• x A
• 
  B
• y C
• 
  D

i¹⁰¹ =

• i A
• i² B
• -i C
• -1 D

∀a,b, c ε R,a +c = b + c = > a = b

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

∀a,b,c∈R and c>0,then

• a>b ⇒ ac < bc A
• a>b ⇒ ac > bc B
• a<b ⇒ ac > bc C
• None of these D

The real number system contains.

• Positive Numbers A
• Negative numbers B
• Zero C
• (option a, b and c) D

If in a set of real no a is multiplicative identity then

• a,a = a² A
• a,a = 1 B
• a,a = 0 C
• None of these D

2.333....is a

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

π is the ration of

• Area of a circle to its diameter A
• Area of a circle to its radius B
• Circumference of a circle to its diameter C
• Circumference of circle to its radius D

What is the conjugate of -6 -i?

• -6 +i A
• 6+i B
• -6 -i C
• 6 -i D

The symbol of irrational is

• W A
• N B
• Q C
• Q' D

If Z = (1,2), then Z^-1 =?

• (0.2, 0.4) A
• (-0.2 ,0.4) B
• (0.2,-0.4) C
• (-0.2,-0.4) D

√25 is a number

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

The additive inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

Multiplicative inverse of 0 is

• 0 A
• 1 B
• ±1 C
• Does not exist D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• None of these D

If in a set of real no a is additive identity then

• a+a = 2a A
• a+a = 1 B
• a+a = 0 C
• None of these D

In R, the multiplicative inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

Which of the following has the same value as i¹¹³?

• i A
• -1 B
• -i C
• 1 D

Q∪ Q' =

• Q A
• Q' B
• N C
• R D