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

The set { 1 , -1} is closed w.r.t.

• Addition A
• Multiplications B
• Subtraction C
• None of these D

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

• √5 A
• √7 B
• -1-2i C
• √3 D

• Associative law of multiplication A
• Commutative law of addition B
• Commutative law of multiplication C
• Associative law of addition D

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

Gooch crucible is made of :

• Brass. A
• Porcelain. B
• Bronze. C
• Gold. D

• Symmetric property A
• Cancellation property w.r.t. multiplication B
• Reflexive property C
• Transitive property 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

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

√2 +√3 +√5) = (√2 +√3 +√5: this property is called

• associative property w.r.t addition A
• commutative property B
• Closure property w.r.t addition C
• Additive identity D

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

What is the conjugate of -6 -i

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

The additive identity of real number is

• 1 A
• 2 B
• 1/2 C
• 0 D

• real part of z A
• imaginary part of z B
• conjugate of z C
• modulus of z D

• 
  A
• 
  B
• 
  C
• 
  D

i⁹ =

• i² A
• -1 B
• 1 C
• i D

The multiplicative inverse ofx^(-1) is

• x A
• a-2 B
• 0 C
• 1 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

QUQ'

• 
  A
• 
  B
• 
  C
• 
  D

Every prime number is also

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

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

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

• 
  
  
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

√x = ______ if is a prime number

• Rational no A
• Natural no B
• Irrational no C
• Complex no D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• Associate law of addition A
• Commutative law of addition B
• Additive identity C
• Closure law of addition D