ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 1 (Number System)

2/9,5/7∈ R,(2│9)(5│7)=10/63∈R this property is called

• Associative property A
• Identity property B
• Commutative property C
• Closure property w.r.t multiplication D

• 15 A
• 15 i B
• -15 i C
• -15 D

The multiplicative inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

∀ z ∈ C, multipliucative is

• (1,1) A
• (1,0) B
• (0,1) C
• None of these D

24 can be written as a product of

• Odd factors A
• Even factors B
• Whole factors C
• Prime factors D

• 15 A
• 15 i B
• -15 i C
• -15 D

(a-1)-1 =

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

Every natural number is

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

(a^-1)^-1=

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

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

• 
  A
• 
  B
• 
  C
• 
  D

The square root of every incomplete square is an

• Rational numbers A
• Even numbers B
• odd numbers C
• Irrational numbers D

∀a,b ε R, ab = be is a

• Commutative law of multiplication A
• Closure law of multiplication B
• Associative law of multiplication C
• Multiplicative identity D

The square roots of negative numbers is called

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

It is not possible to find the exact value of

• π A
• √9 B
• ∛27 C
• √1 D

There is no element common in

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

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

• 
  A
• 
  B
• 
  C
• 
  D

What is the conjugate of -7 -2i ?

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

202.04 is an example of

• Recurring decimals A
• Non-recurring decimals B
• Terminating decimals C
• None of above D

If 0 = R, thenthe additive inverse of a is

• 1/9 A
• ^1/-9 B
• a C
• -a D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

a >b, b >c ⇒a >c is a

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

• (x, y) A
• (kx, y) B
• (x, ky) C
• (kx, ky) D

• 
  A
• 
  B
• 
  C
• 
  D

• N A
• r B
• 2r C
• π D

A non-terminating, non-recurring decimal represent

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

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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