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

If ∀a,b ε R,then a +b  ε  R is a property

• Closure law of addition A
• Associative law of addition B
• Additive inverse C
• Additive identity D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

i⁹ =

• i² A
• -1 B
• 1 C
• i D

4/√49 is a

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

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

• √3 i A
• √7 B
• -2-i C
• √5 D

∀x,y,z ∈ R and z 0,then

• x > y ⇒ xz > yz A
• x<y ⇒ xz < yz B
• x < y ⇒ xz > yz C
• None of these D

√-1 b=

• b A
• 2 B
• 2b C
• None of these D

(a^-1)^-1=

• a^-1 A
• a B
• -a C
• None of above D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

i² =

• 1 A
• 2 B
• -1 C
• 0 D

The multiplicative inverse of (a,b) is

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

Every natural number is

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

i¹⁰¹ =

• i A
• i² B
• -i C
• -1 D

(a,b) +(-a,-b) =

• (0,0) A
• (a,b) B
• (-a,-b) C
• (1,1) D

Name the property used in 100 + 0 = 100

• Additive inverse A
• Multiplicative inverse B
• Additive identity C
• Multiplicative identity D

Name the property used in 1000 x 1 = 1000

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

Any recurring decimal represents a

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

The real number system contains.

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

Name the property used in 4 x (5 x 8) = ( 4 x 5) x 8

• Associative property of addition A
• Associative property of multiplication B
• Additive identity C
• Multiplicative identity D

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

If z₁ = 1 + 2i, z₂ = 3 + 4i then

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

• 
  A
• 
  B
• 
  C
• 
  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

• -8 A
• 8 B
• 8i C
• 32 D

• 
  A
• 
  B
• 
  C
• 
  D