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Mathematics · JEE I SETS

हिन्दी

Match List-I with List-II: List-I (Roster Form) List-II (Set-Builder Form) A \( \{1, 2, 3, 6\} \) I \( \{x : x \text{ is a prime number and a divisor of } 6\} \) B \( \{2, 3\} \) II \( \{x : x \text{ is an odd natural number less than } 10\} \) C \( \{M, A, T, H, E, I, C, S\} \) III \( \{x : x \text{ is a natural number and a divisor of } 6\} \) D \( \{1, 3, 5, 7, 9\} \) IV \( \{x : x \text{ is a letter of the word MATHEMATICS}\} \) Choose the correct answer from the options given below:

Match List-I with List-II:


List-I (Roster Form) List-II (Set-Builder Form)
A \( \{1, 2, 3, 6\} \) I \( \{x : x \text{ is a prime number and a divisor of } 6\} \)
B \( \{2, 3\} \) II \( \{x : x \text{ is an odd natural number less than } 10\} \)
C \( \{M, A, T, H, E, I, C, S\} \) III \( \{x : x \text{ is a natural number and a divisor of } 6\} \)
D \( \{1, 3, 5, 7, 9\} \) IV \( \{x : x \text{ is a letter of the word MATHEMATICS}\} \)

Choose the correct answer from the options given below:

  1. A
    A-(I), B-(III), C-(IV), D-(II)
  2. B
    A-(II), B-(I), C-(IV), D-(III)
  3. C
    A-(III), B-(I), C-(IV), D-(II)
  4. D
    A-(III), B-(IV), C-(I), D-(II)
View Answer & Solution

Correct answer · Option C

A-(III), B-(I), C-(IV), D-(II)

Explanation

All natural divisors of 6 are \( \{1, 2, 3, 6\} \) (A matches III). Prime divisors of 6 are \( \{2, 3\} \) (B matches I). Letters of MATHEMATICS are in C (matches IV). Odd natural numbers less than 10 are \( \{1, 3, 5, 7, 9\} \) (D matches II).
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