He is happy __ . a new bike. A) to buy B) buying C) buy D) to buying She is studying I hard __ pass the exam. A) to B) for C) in order D) to be

The correct answers are:* **First sentence:** A) to buy. The correct phrasing is "He is happy *to buy* a new bike." This uses the infinitive form ("to" + verb) to express the reason for his happiness.* **Second sentence:** A) to. The correct phrasing is "She is studying hard *to* pass the exam." This uses the infinitive "to" to express the purpose of her studying. While "in order to" is also grammatically correct, "to" is more concise and natural in this context.