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Mathematics · JEE I SETS

हिन्दी

The set \( C = \{x : x \text{ is a two-digit natural number such that the sum of its digits is } 8\} \) in roster form is:

  1. A
    \( \{17, 26, 35, 44, 53, 62, 71, 80\} \)
  2. B
    \( \{8, 17, 26, 35, 44, 53, 62, 71, 80\} \)
  3. C
    \( \{17, 26, 35, 44, 53, 62, 71\} \)
  4. D
    \( \{26, 35, 44, 53, 62, 71, 80\} \)
View Answer & Solution

Correct answer · Option A

\( \{17, 26, 35, 44, 53, 62, 71, 80\} \)

Explanation

Two-digit natural numbers start from \( 10 \). The digits sum to \( 8 \) for \( 17, 26, 35, 44, 53, 62, 71, 80 \). Note that \( 80 \) is a valid two-digit number (\( 8 + 0 = 8 \)), but \( 08 \) is not a two-digit number.
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