diff --git a/src/main/java/com/onestep/server/controller/quiz/QuizController.java b/src/main/java/com/onestep/server/controller/quiz/QuizController.java
index cfe9961..8083743 100644
--- a/src/main/java/com/onestep/server/controller/quiz/QuizController.java
+++ b/src/main/java/com/onestep/server/controller/quiz/QuizController.java
@@ -1,12 +1,11 @@
 package com.onestep.server.controller.quiz;
 
+import com.onestep.server.entity.quiz.QuizAnswerRequestDTO;
 import com.onestep.server.entity.quiz.QuizRequestDTO;
 import com.onestep.server.service.quiz.QuizService;
 import lombok.RequiredArgsConstructor;
 import lombok.extern.slf4j.Slf4j;
-import org.springframework.web.bind.annotation.PostMapping;
-import org.springframework.web.bind.annotation.RequestBody;
-import org.springframework.web.bind.annotation.RestController;
+import org.springframework.web.bind.annotation.*;
 
 @RestController
 @RequiredArgsConstructor
@@ -18,11 +17,21 @@ public class QuizController {
     //퀴즈 생성
     @PostMapping(value = "/quiz/create")
     public String writeQuiz(@RequestBody QuizRequestDTO quizRequestDTO){
-         quizService.writeQuiz(quizRequestDTO);
+        quizService.writeQuiz(quizRequestDTO);
         return quizRequestDTO.getUser_id()+"님이 작성한 퀴즈가 등록되었습니다.";
     }
 
+    //퀴즈 등록 가능상태 확인
+    @GetMapping(value = "/quiz/canQuiz/{family_id}")
+    public Boolean canQuiz(@PathVariable String family_id){
+        return quizService.canQuiz(family_id);
+    }
+
     //퀴즈 답변
-   // @PostMapping(value = "/quiz/answer")
-   // public String answerQuiz(@RequestBody )
+    //0 오답, 1 정답
+    @PostMapping(value = "/quiz/answer")
+    public String answerQuiz(@RequestBody QuizAnswerRequestDTO quizAnswerRequestDTO){
+        quizService.answerQuiz(quizAnswerRequestDTO);
+        return quizAnswerRequestDTO.getUser_id()+"님이 작성한 퀴즈 답변이 등록되었습니다.";
+    }
 }
diff --git a/src/main/java/com/onestep/server/repository/IQuizAnswerRepository.java b/src/main/java/com/onestep/server/repository/IQuizAnswerRepository.java
index e50853f..26dac84 100644
--- a/src/main/java/com/onestep/server/repository/IQuizAnswerRepository.java
+++ b/src/main/java/com/onestep/server/repository/IQuizAnswerRepository.java
@@ -2,6 +2,13 @@
 
 import com.onestep.server.entity.QuizAnswer;
 import org.springframework.data.jpa.repository.JpaRepository;
+import org.springframework.data.jpa.repository.Query;
+import org.springframework.data.repository.query.Param;
+
+import java.util.Date;
+import java.util.Optional;
 
 public interface IQuizAnswerRepository extends JpaRepository<QuizAnswer, Long> {
+    @Query("SELECT q FROM QuizAnswer q WHERE q.quiz.quiz_id =:quiz_id and q.user.user_id =:user_id")
+    Optional<QuizAnswer> findQuizByUser(@Param("quiz_id") Long quiz_id, @Param("user_id") String user_id);
 }
diff --git a/src/main/java/com/onestep/server/repository/IQuizRepository.java b/src/main/java/com/onestep/server/repository/IQuizRepository.java
index 2e85941..1e7dc7a 100644
--- a/src/main/java/com/onestep/server/repository/IQuizRepository.java
+++ b/src/main/java/com/onestep/server/repository/IQuizRepository.java
@@ -1,8 +1,19 @@
 package com.onestep.server.repository;
 
+import com.onestep.server.entity.Family;
+import com.onestep.server.entity.Letter;
 import com.onestep.server.entity.Quiz;
 import org.springframework.data.jpa.repository.JpaRepository;
+import org.springframework.data.jpa.repository.Query;
+import org.springframework.data.repository.query.Param;
+
+import java.util.Date;
+import java.util.List;
+import java.util.Optional;
 
 public interface IQuizRepository extends JpaRepository<Quiz, Long> {
 
+    // 날짜로 퀴즈 등록 여부 찾기
+    @Query("SELECT q FROM Quiz q WHERE q.user.family.fam_id =:family_id and q.write_date =:date")
+    Optional<Quiz> findQuizByWriteDate(@Param("family_id") String family_id,@Param("date") Date date);
 }
diff --git a/src/main/java/com/onestep/server/service/quiz/QuizService.java b/src/main/java/com/onestep/server/service/quiz/QuizService.java
index b3ea581..8148d19 100644
--- a/src/main/java/com/onestep/server/service/quiz/QuizService.java
+++ b/src/main/java/com/onestep/server/service/quiz/QuizService.java
@@ -2,8 +2,10 @@
 
 import com.onestep.server.entity.Family;
 import com.onestep.server.entity.Quiz;
+import com.onestep.server.entity.QuizAnswer;
 import com.onestep.server.entity.User;
 import com.onestep.server.entity.quiz.QuizAnswerDTO;
+import com.onestep.server.entity.quiz.QuizAnswerRequestDTO;
 import com.onestep.server.entity.quiz.QuizDTO;
 import com.onestep.server.entity.quiz.QuizRequestDTO;
 import com.onestep.server.repository.IQuizAnswerRepository;
@@ -27,6 +29,7 @@ public class QuizService {
     private final IQuizRepository iQuizRepository;
     private final IQuizAnswerRepository iQuizAnswerRepository;
     private final IUserRepository iUserRepository;
+
     public Quiz writeQuiz(QuizRequestDTO quizRequestDTO){
         Optional<User> optionalUser = iUserRepository.findById(quizRequestDTO.getUser_id());
         User user = optionalUser.get();
@@ -65,4 +68,44 @@ public Quiz writeQuiz(QuizRequestDTO quizRequestDTO){
 
         return addQuiz;
     }
+
+    //퀴즈 생성 가능 여부
+    public Boolean canQuiz(String family_id){
+        Boolean canQuiz = true;
+        Date writeDate = new Date();
+        LocalTime now = LocalTime.now();
+
+        if(now.getHour()<6){
+            Date dDate = new Date();
+            writeDate = new Date(dDate.getTime()+(1000*60*60*24*-1));
+        }
+        Optional<Quiz> optionalQuiz = iQuizRepository.findQuizByWriteDate(family_id,writeDate);
+        // 같은 날에 퀴즈를 생성 했을 시
+        if(optionalQuiz.isPresent()){
+            canQuiz = false;
+        }
+
+        return canQuiz;
+    }
+
+    //퀴즈 답변
+    public QuizAnswer answerQuiz(QuizAnswerRequestDTO quizAnswerRequestDTO){
+        Optional<QuizAnswer> optionalQuizAnswer = iQuizAnswerRepository.findQuizByUser(quizAnswerRequestDTO.getQuiz_id(),quizAnswerRequestDTO.getUser_id());
+        Optional<Quiz> quiz = iQuizRepository.findById(quizAnswerRequestDTO.getQuiz_id());
+        Integer answer = quiz.get().getQuiz_ans();
+
+        QuizAnswer quizAnswer = new QuizAnswer();
+        quizAnswer.setQuizAnswer_id(optionalQuizAnswer.get().getQuizAnswer_id());
+        quizAnswer.setQuiz(optionalQuizAnswer.get().getQuiz());
+        quizAnswer.setUser(optionalQuizAnswer.get().getUser());
+        quizAnswer.setQuiz_ans(quizAnswerRequestDTO.getQuiz_ans());
+
+        if(quizAnswerRequestDTO.getQuiz_ans().equals(answer)){
+            quizAnswer.setQuiz_state(1);
+        }else{
+            quizAnswer.setQuiz_state(0);
+        }
+
+        return iQuizAnswerRepository.save(quizAnswer);
+    }
 }