Option 2 is correct because the passage states that 食器、料理用具 must be 一度も使用していないもの (completely unused). A pot (鍋) that has been used even a little does not meet this requirement, so it cannot be sold to this store. The question asks which item has NO possibility of being sold.
1A shirt that has never been worn (まだ一度も着ていないシャツ) falls under 衣服. Unused clothing is perfectly acceptable — the rule only requires that USED clothing be cleaned. So this item can be sold.
3A TV used for 2 years (2年間ずっと使っているテレビ) falls under 電気製品. The rule for electrical products is only that they must be 使用可能なもの (still functional/usable). There is no requirement that electronics be unused, so this TV can be sold as long as it works.
4A guitar played occasionally (時々ひいているギター) falls under 楽器. Like electrical products, instruments only need to be 使用可能なもの (usable). There is no unused requirement, so this guitar can be sold.
買い取り可能（かいとりかのう） — eligible for purchase/buyback
食器 — tableware, dishes
料理用具 — cooking utensils
一度も使用していない（いちどもしようしていない） — never used, completely unused
使用可能 — usable, in working condition
2.この店に不用品を売るとき、必ずしなければならないことは何か。
1品物を売る場合は、自分で品物を店まで運ぶ。
2品物が売れなかった場合は、その品物を持って帰る。
3品物を郵便で送る場合は、先に店に電話をする。
4品物を持っていく場合は、前日までに予約する。
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Answer: 3. 品物を郵便で送る場合は、先に店に電話をする。
Option 3 is correct. The passage states under the mail section: '品物は郵送でも受け付けます。ご希望の方は、まず、お電話でご連絡ください。ご連絡がなかった場合は、受け取ることができません。' This means if you want to send items by mail, you MUST contact the store by phone first, otherwise they will not accept the package. This is an absolute requirement (必ずしなければならない).
1The store offers a pickup service (ご自宅やオフィスまでうかがいます) for customers who cannot come to the store, so bringing items yourself is not mandatory.
2The passage explicitly says 買い取れなかった品物は、店に置いていくことも可能です — you CAN leave unsold items at the store. Taking them home is optional, not required.
4The reservation requirement (前日までにお電話でご予約) applies only to the pickup service for customers who cannot come to the store (ご来店になれないお客様へのご案内). It does not apply to customers who bring items themselves.
郵送 — sending by mail
受け付ける（うけつける） — to accept, to receive
ご連絡（ごれんらく） — contact, notification (polite)
ご予約（ごよやく） — reservation, appointment (polite)
ご来店（ごらいてん） — coming to the store (polite)
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