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

Every real number is

• a positive integer A
• a rational number B
• a negative integer C
• a complex number 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

The value of i⁴ⁿ⁺¹

• 1 A
• -1 B
• i C
• i² D

The set of positive integers, 0 and negative integers is known as the set of

• Natural numbers A
• Rational numbers B
• All integers C
• Irrational numbers D

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

• 
  A
• 
  B
• 
  C
• None of these D

I is not

• Real number A
• Natural number B
• Prime Number C
• Whole Number D

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

The square root of 2i - 20i is

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

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

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

Total number of subsets that can be formed out of the set {a,b,c} is

• 1 A
• 4 B
• 8 C
• 12 D

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

2.333....is a

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

202.04 is an example of

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

• 
  A
• 
  B
• 
  C
• 
  D

If z₁ =√-36 ,z₂ =√-25,z3 =√-16 then

• 15 A
• 15i B
• -15i C
• -15 D

a.a^-1= a^-1.a = 1 is a

• Commutative law of multiplication A
• Multiplication identity B
• Associative law of multiplication C
• Multiplication inverse D

O is ______

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

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

• √5 A
• √7 B
• -1-2i C
• √3 D

• 
  A
• 
  B
• 
  C
• 
  D

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

π is the ration of

• Area of a circle to its diameter A
• Area of a circle to its radius B
• Circumference of a circle to its diameter C
• Circumference of circle to its radius D

If P is a whole number greater than 1, which has only P and I are factors. Then P is called

• Wholw number A
• Prime number B
• Even number C
• Odd number D

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

The set of rationals numbers between 0 and I is

• Finite A
• Null set B
• Infinite C
• None of these D

If 0 = R, thenthe additive inverse of a is

• 1/9 A
• ^1/-9 B
• a C
• -a D

∀x,y∈R and x> 0 , y>0, if x > y

• 
  A
• 
  B
• 
  C
• None of these D

i =

• 
  A
• 
  B
• 
  C
• 
  D

If a set S contains n elements then P (S) has ........ number of elements

• 2ⁿ A
• 2ⁿ² B
• 2.n C
• n² D

• Rational A
• Irrational B
• Natural C
• Odd D