Match each of the set on the left in the roster form with the same set on the right described in set-builder form:
$(i)$ $\{1,2,3,6\}$
$(a)$ $\{ x:x$ is a prime number and a divisor $6\} $
$(ii)$ $\{2,3\}$
$(b)$ $\{ x:x$ is an odd natural number less than $10\} $
$(iii)$ $\{ M , A , T , H , E , I , C , S \}$
$(c)$ $\{ x:x$ is natural number and divisor of $6\} $
$(iv)$ $\{1,3,5,7,9\}$
$(d)$ $\{ x:x$ a letter of the work $\mathrm{MATHEMATICS}\} $
Match each of the set on the left in the roster form with the same set on the right described in set-builder form:
| $(i)$ $\{1,2,3,6\}$ | $(a)$ $\{ x:x$ is a prime number and a divisor $6\} $ |
| $(ii)$ $\{2,3\}$ | $(b)$ $\{ x:x$ is an odd natural number less than $10\} $ |
| $(iii)$ $\{ M , A , T , H , E , I , C , S \}$ | $(c)$ $\{ x:x$ is natural number and divisor of $6\} $ |
| $(iv)$ $\{1,3,5,7,9\}$ | $(d)$ $\{ x:x$ a letter of the work $\mathrm{MATHEMATICS}\} $ |
$(i)$ All the elements of this set are natural numbers as well as the divisors of $6 .$ Therefore, $(i)$ matches with $(c).$
$(ii)$ It can be seen that $2$ and $3$ are prime numbers. They are also the divisors of $6 .$ Therefore, $(ii)$ matches with $(a).$
$(iii)$ All the elements of this set are letters of the word $MATHEMATICS.$ Therefore, $(iii)$ matches with $(d).$
$(iv)$ All the elements of this set are odd natural numbers less than $10 .$ Therefore, $(iv)$ matches with $(b).$
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- [JEE MAIN 2021]
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