The following question has two statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. Each of the 20 racks of garment shop contains either only shirts, only jeans, or a mixture of shirts and jeans, how many racks contain only shirts? Statement I: 18 racks contain jeans and 14 racks contain shirts. Statement II: 6 racks contain jeans only. 

The following question has two statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. Each of the 20 racks of garment shop contains either only shirts, only jeans, or a mixture of shirts and jeans, how many racks contain only shirts? Statement I: 18 racks contain jeans and 14 racks contain shirts. Statement II: 6 racks contain jeans only.  Correct Answer Statement I alone is sufficient to answer the question.

Statement I: 18 racks contain jeans and 14 racks contain shirts. 

We know that;

Total racks = (Racks with jeans) + (Racks with shirts) – (Racks with both jeans and shirts)

⇒ 20 = 18 + 14 – (Racks with both jeans and shirts)

⇒ (Racks with both jeans and shirts) = 32 – 20 = 12

∴ Racks with shirts only = 14 – 12 = 2

Statement II: 6 racks contain jeans only. 

This can also be derived from statement I, hence it is of no use.

∴ Statement I alone is sufficient to answer the question.

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