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Of the 48 students in a class, 16 like to study History. What percentage of the girls in the class do not like to study History?
(1) One-third of the boys in the class like to study History
(2) The number of girls who like History is 50 percent of the number of girls who do not like History
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
  • d)
    EACH statement ALONE is sufficient to answer the question asked.
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Of the 48 students in a class, 16 like to study History. What percenta...
Steps 1 & 2: Understand Question and Draw Inferences
Given:
  • Let number of girls who do not like history = X
  • Total number of girls = Y
  • We need to find the value of X/Y
  •  to answer the question
  • Completing the above table in terms of X and Y:
Step 3: Analyze Statement 1 independently
One-third of the boys in the class like to study History
Sufficient
Step 4: Analyze Statement 2 independently
The number of girls who like History is 50 percent of the number of girls who do not like History
Sufficient
 
Step 5: Analyze Both Statements Together (if needed)
Since we’ve already arrived at a unique answer in Step 3 and Step 4, this step is not required
 
Answer: Option D
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Of the 48 students in a class, 16 like to study History. What percenta...
Statement Analysis:

Statement 1: One-third of the boys in the class like to study History.
This statement gives information about the boys who like History but does not provide any information about the girls.
Therefore, Statement 1 alone is not sufficient to answer the question.

Statement 2: The number of girls who like History is 50 percent of the number of girls who do not like History.
This statement provides a relationship between the number of girls who like and do not like History.
However, it does not give any information about the total number of girls in the class or the total number of students in the class.
Therefore, Statement 2 alone is not sufficient to answer the question.

Combined Analysis:
When we combine both statements, we get information about both boys and girls who like History and the relationship between the girls who like and do not like History.
From Statement 1, we know the number of boys who like History, and from Statement 2, we have information about the girls who like and do not like History.
With this combined information, we can determine the number of girls who do not like History and calculate the percentage of girls who do not like History.
Therefore, each statement alone is sufficient to answer the question asked.
Therefore, the correct answer is option 'D'.
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Of the 48 students in a class, 16 like to study History. What percentage of the girls in the class do not like to study History?(1) One-third of the boys in the class like to study History(2) The number of girls who like History is 50 percent of the number of girls who do not like Historya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. Can you explain this answer?
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Of the 48 students in a class, 16 like to study History. What percentage of the girls in the class do not like to study History?(1) One-third of the boys in the class like to study History(2) The number of girls who like History is 50 percent of the number of girls who do not like Historya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Of the 48 students in a class, 16 like to study History. What percentage of the girls in the class do not like to study History?(1) One-third of the boys in the class like to study History(2) The number of girls who like History is 50 percent of the number of girls who do not like Historya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Of the 48 students in a class, 16 like to study History. What percentage of the girls in the class do not like to study History?(1) One-third of the boys in the class like to study History(2) The number of girls who like History is 50 percent of the number of girls who do not like Historya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. Can you explain this answer?.
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