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JEE Main levelOne or more correct optionsDifficulty 2 of 3mc029

In which of the following pairs do both compounds have the same empirical formula?

A $C X_{2} H X_{2}$ and $C X_{6} H X_{6}$
B $C X_{2} H X_{6}$ and $C X_{3} H X_{8}$
C $C X_{2} H X_{4}$ and $C X_{3} H X_{6}$
D $C X_{2} H X_{4} O X_{2}$ and $C X_{6} H X_{12} O X_{6}$

Answer: A, C, D

Reduce each molecular formula by the highest common factor of its subscripts.

C X_{2} H X_{2}

and

C X_{6} H X_{6}

both reduce to

CH

;

C X_{2} H X_{4} O X_{2}

and

C X_{6} H X_{12} O X_{6}

both reduce to

CH X_{2} O

;

C X_{2} H X_{4}

and

C X_{3} H X_{6}

both reduce to

CH X_{2}

.

C X_{2} H X_{6}

reduces to

CH X_{3}

but

C X_{3} H X_{8}

cannot be reduced, so that pair differs.

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