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Class 12MathematicsSetsEasyLevel 3

Which set best represents N = {2, 4, 8, 16, 32}?

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Answer and explanation

Correct answer: N = {x : x = 2ⁿ, n ∈ ℕ, 1 ≤ n ≤ 5}

Each element is a successive power of 2: 2 = 2¹, 4 = 2², 8 = 2³, 16 = 2⁴, and 32 = 2⁵. Thus the set is described by x = 2ⁿ for natural numbers n from 1 through 5. Option D begins with 2⁰ = 1 and omits 32, while A and C produce different sequences. Therefore, B is correct.

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setspowersset-builder formpatternsMathematicsClass 12 MCQ

Frequently asked questions

What is the correct answer to this question?

N = {x : x = 2ⁿ, n ∈ ℕ, 1 ≤ n ≤ 5}

Why is this the correct answer?

Each element is a successive power of 2: 2 = 2¹, 4 = 2², 8 = 2³, 16 = 2⁴, and 32 = 2⁵. Thus the set is described by x = 2ⁿ for natural numbers n from 1 through 5. Option D begins with 2⁰ = 1 and omits 32, while A and C produce different sequences. Therefore, B is correct.

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Sets.

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10 more MCQs
  1. 1If Q = {x : x is a digit and x is prime}, which is the roster form of Q?
  2. 2Which is the roster form of F₁ = {x : x is a positive multiple of 3 or 5, and x < 20}?
  3. 3Which is the correct roster form of B = {x : x is a prime divisor of 84}?
  4. 4Which option is not an example of a well-defined set?
  5. 5What is the correct roster form of A₁ = {x : x ∈ ℕ, x² − 1 = 0}?
  6. 6If D₁ = {x : x ∈ ℤ, 2 < x² ≤ 16}, what is the roster form of D₁?
  7. 7The set E₁ = {x : x ∈ ℕ, x = 30/n, n ∈ ℕ} is equal to which set?
  8. 8Which option is the correct roster form of G₁ = {x : x ∈ ℤ, x³ = x}?
  9. 9What is the roster form of H₁ = {x : x ∈ ℕ, 5 ≤ x ≤ 15, x is composite}?
  10. 10Which option correctly represents N₁ = {x : x ∈ Z, x² + x = 0}?
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