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A group of 30 people includes men, women and children. If one person is to be chosen at random from the group, is the probability that a man is chosen greater than the probability that a woman is chosen?
(1)  The probability that a man is chosen is 50% greater than the probability that a child is chosen.
(2)  The probability that either a woman or a child is chosen is greater than the probability that a man is chosen
  • 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 'E'. Can you explain this answer?
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Verified Answer
A group of 30 people includes men, women and children. If one person i...
Steps 1 & 2: Understand Question and Draw Inferences
Given:
  • Let number of Men Women, Children be M, W, C respectively.
    • M + W + C = 30
    • Since M, W and C denote the number of people in the group, they must be positive integers
To find: Is P(Choosing a man) > P(Choosing a woman)?
Step 3: Analyze Statement 1 independently
  • The probability that a man is chosen is 50% greater than the probability that a child is chosen.
  • One is tempted to conclude that since this is a linear equation with two unknowns, we’ll not be able to find unique values of M and W, and hence, will not be able to answer the question. However, we should not be so fast in our judgment because we are given a constraint here on the values of M and W:
    • M and W can only be positive integers
  • Let’s evaluate if this constraint, when combined with the above equation, leads us to unique values of M and W or not:
  • We can rewrite the above equation as:
  • Since W must be an integer, M must be a multiple of 3
  • Thus M must be a positive multiple of 3 and must be less than 16

  • Thus, we see that Statement 1 alone is not sufficient to arrive at a unique answer
     
    Step 4: Analyze Statement 2 independently
  • The probability that either a woman or a child is chosen is greater than the probability that a man is chosen
    •    P(Choosing a child) = ​
  • P(Choosing a Woman or a child) = P(Choosing a Woman) + P(Choosing a child)
  • Therefore, 30–M>M
  •  (Using M + W + C = 30)
  • 30 > 2M
  • So, M < 15
    • If W = 2, M = 1 and C = 27, this condition is satisfied and the answer to the Question is NO
    • If W =8, M = 12 and C = 10, this condition is satisfied and the answer to the Question is YES.
  • So, Statement 2 is not sufficient to find a unique answer to the question.
     
    Step 5: Analyze Both Statements Together (if needed)
  • From Statement 1:
  • From Statement 2: M < 15
  • All the values of M in the table satisfy this inequality
  • Therefore, even after combining both the statements, we don’t’ know if the answer to the question is Yes or No.
    Answer: Option E
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Most Upvoted Answer
A group of 30 people includes men, women and children. If one person i...
Steps 1 & 2: Understand Question and Draw Inferences
Given:
  • Let number of Men Women, Children be M, W, C respectively.
    • M + W + C = 30
    • Since M, W and C denote the number of people in the group, they must be positive integers
To find: Is P(Choosing a man) > P(Choosing a woman)?
Step 3: Analyze Statement 1 independently
  • The probability that a man is chosen is 50% greater than the probability that a child is chosen.
  • One is tempted to conclude that since this is a linear equation with two unknowns, we’ll not be able to find unique values of M and W, and hence, will not be able to answer the question. However, we should not be so fast in our judgment because we are given a constraint here on the values of M and W:
    • M and W can only be positive integers
  • Let’s evaluate if this constraint, when combined with the above equation, leads us to unique values of M and W or not:
  • We can rewrite the above equation as:
  • Since W must be an integer, M must be a multiple of 3
  • Thus M must be a positive multiple of 3 and must be less than 16

  • Thus, we see that Statement 1 alone is not sufficient to arrive at a unique answer
     
    Step 4: Analyze Statement 2 independently
  • The probability that either a woman or a child is chosen is greater than the probability that a man is chosen
    •    P(Choosing a child) = ​
  • P(Choosing a Woman or a child) = P(Choosing a Woman) + P(Choosing a child)
  • Therefore, 30–M>M
  •  (Using M + W + C = 30)
  • 30 > 2M
  • So, M < 15
    • If W = 2, M = 1 and C = 27, this condition is satisfied and the answer to the Question is NO
    • If W =8, M = 12 and C = 10, this condition is satisfied and the answer to the Question is YES.
  • So, Statement 2 is not sufficient to find a unique answer to the question.
     
    Step 5: Analyze Both Statements Together (if needed)
  • From Statement 1:
  • From Statement 2: M < 15
  • All the values of M in the table satisfy this inequality
  • Therefore, even after combining both the statements, we don’t’ know if the answer to the question is Yes or No.
    Answer: Option E
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Community Answer
A group of 30 people includes men, women and children. If one person i...
Steps 1 & 2: Understand Question and Draw Inferences
Given:
  • Let number of Men Women, Children be M, W, C respectively.
    • M + W + C = 30
    • Since M, W and C denote the number of people in the group, they must be positive integers
To find: Is P(Choosing a man) > P(Choosing a woman)?
Step 3: Analyze Statement 1 independently
  • The probability that a man is chosen is 50% greater than the probability that a child is chosen.
  • One is tempted to conclude that since this is a linear equation with two unknowns, we’ll not be able to find unique values of M and W, and hence, will not be able to answer the question. However, we should not be so fast in our judgment because we are given a constraint here on the values of M and W:
    • M and W can only be positive integers
  • Let’s evaluate if this constraint, when combined with the above equation, leads us to unique values of M and W or not:
  • We can rewrite the above equation as:
  • Since W must be an integer, M must be a multiple of 3
  • Thus M must be a positive multiple of 3 and must be less than 16

  • Thus, we see that Statement 1 alone is not sufficient to arrive at a unique answer
     
    Step 4: Analyze Statement 2 independently
  • The probability that either a woman or a child is chosen is greater than the probability that a man is chosen
    •    P(Choosing a child) = ​
  • P(Choosing a Woman or a child) = P(Choosing a Woman) + P(Choosing a child)
  • Therefore, 30–M>M
  •  (Using M + W + C = 30)
  • 30 > 2M
  • So, M < 15
    • If W = 2, M = 1 and C = 27, this condition is satisfied and the answer to the Question is NO
    • If W =8, M = 12 and C = 10, this condition is satisfied and the answer to the Question is YES.
  • So, Statement 2 is not sufficient to find a unique answer to the question.
     
    Step 5: Analyze Both Statements Together (if needed)
  • From Statement 1:
  • From Statement 2: M < 15
  • All the values of M in the table satisfy this inequality
  • Therefore, even after combining both the statements, we don’t’ know if the answer to the question is Yes or No.
    Answer: Option E
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A group of 30 people includes men, women and children. If one person is to be chosen at random from the group, is the probability that a man is chosen greater than the probability that a woman is chosen?(1) The probability that a man is chosen is 50% greater than the probability that a child is chosen.(2) The probability that either a woman or a child is chosen is greater than the probability that a man is chosena)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 'E'. Can you explain this answer?
Question Description
A group of 30 people includes men, women and children. If one person is to be chosen at random from the group, is the probability that a man is chosen greater than the probability that a woman is chosen?(1) The probability that a man is chosen is 50% greater than the probability that a child is chosen.(2) The probability that either a woman or a child is chosen is greater than the probability that a man is chosena)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 'E'. 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 A group of 30 people includes men, women and children. If one person is to be chosen at random from the group, is the probability that a man is chosen greater than the probability that a woman is chosen?(1) The probability that a man is chosen is 50% greater than the probability that a child is chosen.(2) The probability that either a woman or a child is chosen is greater than the probability that a man is chosena)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 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A group of 30 people includes men, women and children. If one person is to be chosen at random from the group, is the probability that a man is chosen greater than the probability that a woman is chosen?(1) The probability that a man is chosen is 50% greater than the probability that a child is chosen.(2) The probability that either a woman or a child is chosen is greater than the probability that a man is chosena)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 'E'. Can you explain this answer?.
Solutions for A group of 30 people includes men, women and children. If one person is to be chosen at random from the group, is the probability that a man is chosen greater than the probability that a woman is chosen?(1) The probability that a man is chosen is 50% greater than the probability that a child is chosen.(2) The probability that either a woman or a child is chosen is greater than the probability that a man is chosena)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 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT. Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
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If one person is to be chosen at random from the group, is the probability that a man is chosen greater than the probability that a woman is chosen?(1) The probability that a man is chosen is 50% greater than the probability that a child is chosen.(2) The probability that either a woman or a child is chosen is greater than the probability that a man is chosena)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 'E'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A group of 30 people includes men, women and children. If one person is to be chosen at random from the group, is the probability that a man is chosen greater than the probability that a woman is chosen?(1) The probability that a man is chosen is 50% greater than the probability that a child is chosen.(2) The probability that either a woman or a child is chosen is greater than the probability that a man is chosena)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 'E'. Can you explain this answer?, a detailed solution for A group of 30 people includes men, women and children. If one person is to be chosen at random from the group, is the probability that a man is chosen greater than the probability that a woman is chosen?(1) The probability that a man is chosen is 50% greater than the probability that a child is chosen.(2) The probability that either a woman or a child is chosen is greater than the probability that a man is chosena)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 'E'. Can you explain this answer? has been provided alongside types of A group of 30 people includes men, women and children. If one person is to be chosen at random from the group, is the probability that a man is chosen greater than the probability that a woman is chosen?(1) The probability that a man is chosen is 50% greater than the probability that a child is chosen.(2) The probability that either a woman or a child is chosen is greater than the probability that a man is chosena)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 'E'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A group of 30 people includes men, women and children. If one person is to be chosen at random from the group, is the probability that a man is chosen greater than the probability that a woman is chosen?(1) The probability that a man is chosen is 50% greater than the probability that a child is chosen.(2) The probability that either a woman or a child is chosen is greater than the probability that a man is chosena)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 'E'. Can you explain this answer? tests, examples and also practice GMAT tests.
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