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

The multiplicative inverse of 1 - 2i is

• 
  A
• 
  B
• 
  C
• 
  D

√11 is

• an irrational number A
• Rational number B
• odd number C
• Negative number D

Which of the following has the same value as i¹¹³?

• i A
• -1 B
• -i C
• 1 D

• 
  A
• 
  B
• 
  C
• 
  D

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

• z is purely imaginary A
• a is any complex number B
• z is real C
• None of these D

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

• √3 i A
• √7 B
• -2-i C
• √5 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 +bi) -c (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

In R the number of identity elements w.r.t.'.' is

• One A
• Two B
• Three C
• Four D

The multiplicative inverse of -3i is

• 3i A
• -3i B
• -1/3i C
• 1/3 i D

• N A
• r B
• 2r C
• π D

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

• 
  A
• 
  B
• 
  C
• 
  D

Every prime number is also

• Rational number A
• Even number B
• Irrational number C
• Multiple of two numbers D

6 is

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

i =

• √1 A
• √2 B
• √-2 C
• √-1 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

If a is any real number and a = a is called

• symmetric property A
• Trichotomy Properties B
• Transitive Property C
• Reflexive Properties D

√2 is a number

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

The√ is used for the

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

The value of x, and y, when (x + iy)²= 5 + 4i

• X = 2, y = 1 A
• X = -2, y = 1 B
• X = 2, y = -1 C
• X = 2, y = 2 D

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

i² =

• 1 A
• 2 B
• -1 C
• 0 D

• are real no A
• both are not real B
• are imaginary no C
• both are imaginary 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

A subset of set of complex number whose elements are of the form (a,0) is called

• Real number A
• Complex number B
• Rational number C
• Irrational number 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

202.04 is an example of

• Recurring decimals A
• Non-recurring decimals B
• Terminating decimals C
• None of above D

Q∪ Q' =

• Q A
• Q' B
• N C
• R D