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.