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 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

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 = -1 C
• X = 2, y = 2 D

• 
  A
• 
  B
• 
  C
• 
  D

• Additive property of inequality A
• Commutative property B
• Additive inverse C
• Additive identity D

24 can be written as a product of

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

The additive inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

A non-terminating, non-recurring decimal represent

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

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

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

• One A
• Two B
• Three C
• Four D

• Principle of equality of Fractions A
• Rule for product of fraction B
• Golden rule of fraction C
• Rule of quotient of Fraction D

202.04 is an example of

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

i¹⁰¹=

• i A
• i² B
• -i C
• -1 D

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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

i is equal

• (1 , 0) A
• (0 , 1) B
• (1 , 1) C
• (0 , 0) D

In set builder notation the set {0,1,2,........100} can be written as

• {x / xε B ∧ x ≤ 100} A
• {x / x ∈ W ∧ x < 101} B
• {x / x ∈ Z ∧ x < 101} C
• The set of first 100 whole numbers D

• 
  A
• 
  B
• 
  C
• 
  D

Multiplicative inverse of "1" is

• 0 A
• ±1 B
• 1 C
• {0,1} D

∀x,y∈R and x> 0 , y>0, if x > y

• 
  A
• 
  B
• 
  C
• None of these 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 root of 2i - 20i is

• +-(5 - 2i) A
• +-(5 + 2i) B
• (5 - 2i) C
• None of these D

The symbol of irrational is

• W A
• N B
• Q C
• Q' 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

Decimal part of irrational number is

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

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

• 
  A
• 
  B
• 
  C
• 
  D
• 
  E