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

The value of i⁴ⁿ⁺¹

• 1 A
• -1 B
• i C
• i² D

The conjugate of √5 i is

• √5 A
• -√5 i B
• i C
• 5i D

1.4142135... is ______

• A natural number A
• A rational number B
• A prime number C
• An irrational 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 = -i C
• x = 2, y = 2 D

If a > b or a < b than a = b is a

• Additive property A
• Transitive property B
• Trichotomy property of inequality C

The square roots of negative numbers is called

• Real no A
• Complex no B
• Positive no C
• Negative no D

• Commutative property of addition A
• Closure property of addition B
• Additive inverse C
• Associative property w.r.t. to addition D

Q∪ Q' =

• Q A
• Q' B
• N C
• R D

The multiplicative inverse of -3i is

• 3i A
• -3i B
• -1/3i C
• 1/3 i D

i¹⁰¹ =

• i A
• i² B
• -i C
• -1 D

• -8 A
• 8 B
• 8i C
• 32 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

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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

∀x,y∈R and x> 0 , y>0, if x > y

• 
  A
• 
  B
• 
  C
• None of these D

• Trichotomy property A
• Additive property of inequality B
• Transitive property C
• Multiplicative property D

There is no element common in

• N and W A
• E and W B
• N and O C
• Q and Q' D

√-1 b=

• b A
• 2 B
• 2b C
• None of these D

The identity element with respect to subtraction is

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

If a and b are real numbers then a+b is also real number this law is called

• associative law of addition A
• closure law of addition B
• Distributive law of addition C
• Commutative law of addition D

For each real number, there is a number which is its

• Negative A
• Possitive B
• Opposite C
• Similar D

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

If z₁= 2 + 6i and z₂= 3 + 7i, then which expression defines the product of z₁and z₂?

• 36 + (-32)i A
• -36 + 32i B
• 6 + (-11)1 C
• 0, +(-12)i D

• 
  A
• 
  B
• 
  C
• 
  D

Decimal part of irrational number is

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

The additive identity of real number is

• 1 A
• 2 B
• 1/2 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

• Multiplication property A
• Additive property B
• Trichotomy property C
• Transitive property of inequality D

Rational number is a number which can be written as a terminating decimal fraction or a

• Non-terminating decimal fraction A
• Non-recurring B
• Recurring decimal fraction C
• a, b and c D