ECAT Mathematics Chapter 1 Number System MCQ's Test

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

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

Every real number is

• A complex number A
• A rational number B
• A natural number C
• A prime number D

The square roots of negative numbers is called

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

If 0 = R, thenthe additive inverse of a is

• 1/9 A
• ^1/-9 B
• a C
• -a D

• 
  A
• 
  B
• 
  C
• 
  D

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

√23 is

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

• N A
• r B
• 2r C
• π D

In (x +iy) y is called as

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

• Additive property in R A
• Multiplication property in R B
• Cancellation property in R C
• Distribution property in R D

Name the property used in 1000 x 1 = 1000

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

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

• 
  A
• 
  B
• 
  C
• 
  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

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

• 
  A
• 
  B
• 
  C
• 
  D

i =

• √1 A
• √2 B
• √-2 C
• √-1 D

• 
  A
• 
  B
• 
  C
• 
  D

i² = 

• 1 A
• 2 B
• -1 C
• 0 D

• a = a A
• a < a B
• a > a C
• a²= a D

The additive inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

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

The multiplicative inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

• x A
• 
  B
• y C
• 
  D

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

What is the conjugate of -7 -2i ?

• -7 + 2i A
• 7 +2i B
• 7 -2i C
• √53 D

The sum of complex number (a,b) and (c,d) is

• 
  A
• 
  B
• 
  C
• 
  D

Decimal part of irrational number is

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

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

Gooch crucible is made of :

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