ECAT Mathematics Chapter 1 Number System

The multiplicative inverse of (a,b) is

• 
  A
• 
  B
• 
  C
• 
  D

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

• Set of whole number A
• Rational Numbers B
• Complex numbers C
• Whole numbers D

• 0 A
• 1 B
• -1 C
• 2 D

The multiplicative inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

• (a + b)c = a . c + bc A
• a + b = b + a B
• (a + b) + c = a + (b + c) C
• a(b+ c) = ab + ac D

The solution set of the equation |3x + 2| = 5 is

• 
  A
• 
  B
• 
  C
• 
  D

(a,0) x (c, 0) =

• (0,ac) A
• (ac, 0) B
• (0,0) C
• (a, c) D

1/3 is a decimal

• Recurring A
• Terminating B
• Non-terminating C
• None of the above D

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

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

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

a >b, b >c ⇒a >c is a

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

• 1 A
• 3 B
• 2-i C
• -1 D

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

• One A
• Two B
• Three C
• Four D

In (x +iy) y is called as

• Imaginary part A
• Complex number B
• Real part C
• None of above D

In R the right cancellation property w.r.t. addition is

• 
  A
• 
  B
• 
  C
• 
  D

• A complex number A
• A rational number B
• A natural number C
• An irrational number D

i =

• 
  A
• 
  B
• 
  C
• 
  D

The set of rational number is represented by

• W A
• R B
• Q' C
• Q
  
  
  D

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

(√3+√5)+√7 = √3 +(√5 +√7) property used in above is

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

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

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

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

If z=(x,y) then z has no multiplicative inverse when

• x ≠ 0, y = 0 A
• x = 0, y = 0 B
• x = 0, y ≠ 0 C
• None of these 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

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

• A positive integer A
• A negative integer B
• A natural number C
• An irrational number D

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

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

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