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In a class, teacher decides to choose two students for a certain experiment, out of the boys and girls present. In how many ways can the teacher choose two boys for the same?
(1) Number of boys is 20% less than the number of girls in the class.
(2) Number of girls is 3 more than the number of boys in the class.
  • 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
  • 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 are needed
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In a class, teacher decides to choose two students for a certain exper...
Statement (1): The number of boys is 20% less than the number of girls in the class.
Let's assume the number of girls in the class is G. According to statement (1), the number of boys would be 0.8G (20% less than the number of girls).
To find the number of ways the teacher can choose two boys, we need to determine the combination of 2 out of the number of boys.
The number of ways to choose 2 boys out of 0.8G boys is given by the expression C(0.8G, 2) = (0.8G)! / [2!(0.8G - 2)!].
Statement (1) provides us with the necessary information to calculate the number of ways to choose two boys.
Statement (2): The number of girls is 3 more than the number of boys in the class.
Let's assume the number of boys in the class is B. According to statement (2), the number of girls would be B + 3.
However, statement (2) alone does not provide us with any specific information about the number of boys or girls in the class. Therefore, we cannot determine the number of ways to choose two boys solely based on statement (2) alone.
When we consider both statements together:
From statement (1), we have B = 0.8G.
From statement (2), we have G = B + 3.
Substituting the value of B from statement (1) into statement (2), we get G = 0.8G + 3.
Simplifying this equation, 0.2G = 3.
Dividing both sides by 0.2, we find G = 15.
Substituting G = 15 into B = 0.8G from statement (1), we get B = 0.8 * 15 = 12.
Therefore, there are 12 boys and 15 girls in the class.
The number of ways to choose 2 boys out of 12 boys is C(12, 2) = 66.
Therefore, both statements together are sufficient to determine the number of ways the teacher can choose two boys. Hence, the answer is (C) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
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In a class, teacher decides to choose two students for a certain experiment, out of the boys and girls present. In how many ways can the teacher choose two boys for the same?(1) Number of boys is 20% less than the number of girls in the class.(2) Number of girls is 3 more than the number of boys in the class.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?
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In a class, teacher decides to choose two students for a certain experiment, out of the boys and girls present. In how many ways can the teacher choose two boys for the same?(1) Number of boys is 20% less than the number of girls in the class.(2) Number of girls is 3 more than the number of boys in the class.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about In a class, teacher decides to choose two students for a certain experiment, out of the boys and girls present. In how many ways can the teacher choose two boys for the same?(1) Number of boys is 20% less than the number of girls in the class.(2) Number of girls is 3 more than the number of boys in the class.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a class, teacher decides to choose two students for a certain experiment, out of the boys and girls present. In how many ways can the teacher choose two boys for the same?(1) Number of boys is 20% less than the number of girls in the class.(2) Number of girls is 3 more than the number of boys in the class.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?.
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