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Directions: The data sufficiency problem consists of a question and two statements, labeled (1)
and (2), in which certain data are given. You have to decide whether the data given in the
statements are sufficient for answering the question. Using the data given in the statements plus
your knowledge of mathematics and everyday facts (such as the number of days in July or the
meaning of counterclockwise), you must indicate whether
Q.

What is the probability that  and  are reciprocal fractions?
(1) v, w, y, and z are each randomly chosen from the first 100 positive integers.
(2) The product (u)(x) is the median of 100 consecutive integers.
  • 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) TO GETHER are sufficient to answer the question
    asked, but NEITHER statement ALONE is sufficient;
  • d)
    EACH statement ALONE is suffi cient 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 'C'. Can you explain this answer?
Verified Answer
Directions: The data sufficiency problem consists of a question and tw...
In order for one number to be the reciprocal of another number, their product must equal 1. Thus, this question can be rephrased as follows:
What is the probability that 

This can be simplified as follows: 
What is the probability that 

What is the probability that 
Finally: What is the probability that ux = vywz ?
Statement (1) tells us that vywz is an integer, since it is the product of integers. However, this gives no information about u and x and is therefore not sufficient to answer the question.
Statement (2) tells us that ux is NOT an integer. This is because the median of an even number of consecutive integers is NOT an integer. (For example, the median of 4 consecut ive integers - 9, 10, 11, 12 - equals 10.5.) However, this gives us no information about vywz and is therefore not sufficient to answer the question.
Taking both statements together, we know that vywz IS an integer and that ux is NOT an integer. Therefore vywz CANNOT be equal to ux . The probability that the fractions are reciprocals is zero. The correct answer is C: Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.
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Directions: The data sufficiency problem consists of a question and two statements, labeled (1)and (2), in which certain data are given. You have to decide whether the data given in thestatements are sufficient for answering the question. Using the data given in the statements plusyour knowledge of mathematics and everyday facts (such as the number of days in July or themeaning of counterclockwise), you must indicate whetherQ.What is the probability thatandare reciprocal fractions?(1) v, w, y, and z are each randomly chosen from the first 100 positive integers.(2) The product (u)(x) is the median of 100 consecutive integers.a)statement (1) ALONE is sufficient, but statement (2) alone is not sufficient toanswer the question asked;b)statement (2) ALONE is sufficient, but statement (1) alone is not sufficient toanswer the question asked;c)BOTH statements (1) and (2) TO GETHER are sufficient to answer the questionasked, but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is suffi cient to answer the question asked;e)statements (1} and (2) TOGETHER are NOT sufficient to answer the questionasked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer?
Question Description
Directions: The data sufficiency problem consists of a question and two statements, labeled (1)and (2), in which certain data are given. You have to decide whether the data given in thestatements are sufficient for answering the question. Using the data given in the statements plusyour knowledge of mathematics and everyday facts (such as the number of days in July or themeaning of counterclockwise), you must indicate whetherQ.What is the probability thatandare reciprocal fractions?(1) v, w, y, and z are each randomly chosen from the first 100 positive integers.(2) The product (u)(x) is the median of 100 consecutive integers.a)statement (1) ALONE is sufficient, but statement (2) alone is not sufficient toanswer the question asked;b)statement (2) ALONE is sufficient, but statement (1) alone is not sufficient toanswer the question asked;c)BOTH statements (1) and (2) TO GETHER are sufficient to answer the questionasked, but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is suffi cient to answer the question asked;e)statements (1} and (2) TOGETHER are NOT sufficient to answer the questionasked, and additional data specific to the problem are needed.Correct 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 Directions: The data sufficiency problem consists of a question and two statements, labeled (1)and (2), in which certain data are given. You have to decide whether the data given in thestatements are sufficient for answering the question. Using the data given in the statements plusyour knowledge of mathematics and everyday facts (such as the number of days in July or themeaning of counterclockwise), you must indicate whetherQ.What is the probability thatandare reciprocal fractions?(1) v, w, y, and z are each randomly chosen from the first 100 positive integers.(2) The product (u)(x) is the median of 100 consecutive integers.a)statement (1) ALONE is sufficient, but statement (2) alone is not sufficient toanswer the question asked;b)statement (2) ALONE is sufficient, but statement (1) alone is not sufficient toanswer the question asked;c)BOTH statements (1) and (2) TO GETHER are sufficient to answer the questionasked, but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is suffi cient to answer the question asked;e)statements (1} and (2) TOGETHER are NOT sufficient to answer the questionasked, and additional data specific to the problem are needed.Correct 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 Directions: The data sufficiency problem consists of a question and two statements, labeled (1)and (2), in which certain data are given. You have to decide whether the data given in thestatements are sufficient for answering the question. Using the data given in the statements plusyour knowledge of mathematics and everyday facts (such as the number of days in July or themeaning of counterclockwise), you must indicate whetherQ.What is the probability thatandare reciprocal fractions?(1) v, w, y, and z are each randomly chosen from the first 100 positive integers.(2) The product (u)(x) is the median of 100 consecutive integers.a)statement (1) ALONE is sufficient, but statement (2) alone is not sufficient toanswer the question asked;b)statement (2) ALONE is sufficient, but statement (1) alone is not sufficient toanswer the question asked;c)BOTH statements (1) and (2) TO GETHER are sufficient to answer the questionasked, but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is suffi cient to answer the question asked;e)statements (1} and (2) TOGETHER are NOT sufficient to answer the questionasked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer?.
Solutions for Directions: The data sufficiency problem consists of a question and two statements, labeled (1)and (2), in which certain data are given. You have to decide whether the data given in thestatements are sufficient for answering the question. Using the data given in the statements plusyour knowledge of mathematics and everyday facts (such as the number of days in July or themeaning of counterclockwise), you must indicate whetherQ.What is the probability thatandare reciprocal fractions?(1) v, w, y, and z are each randomly chosen from the first 100 positive integers.(2) The product (u)(x) is the median of 100 consecutive integers.a)statement (1) ALONE is sufficient, but statement (2) alone is not sufficient toanswer the question asked;b)statement (2) ALONE is sufficient, but statement (1) alone is not sufficient toanswer the question asked;c)BOTH statements (1) and (2) TO GETHER are sufficient to answer the questionasked, but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is suffi cient to answer the question asked;e)statements (1} and (2) TOGETHER are NOT sufficient to answer the questionasked, and additional data specific to the problem are needed.Correct answer is option 'C'. 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.
Here you can find the meaning of Directions: The data sufficiency problem consists of a question and two statements, labeled (1)and (2), in which certain data are given. You have to decide whether the data given in thestatements are sufficient for answering the question. Using the data given in the statements plusyour knowledge of mathematics and everyday facts (such as the number of days in July or themeaning of counterclockwise), you must indicate whetherQ.What is the probability thatandare reciprocal fractions?(1) v, w, y, and z are each randomly chosen from the first 100 positive integers.(2) The product (u)(x) is the median of 100 consecutive integers.a)statement (1) ALONE is sufficient, but statement (2) alone is not sufficient toanswer the question asked;b)statement (2) ALONE is sufficient, but statement (1) alone is not sufficient toanswer the question asked;c)BOTH statements (1) and (2) TO GETHER are sufficient to answer the questionasked, but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is suffi cient to answer the question asked;e)statements (1} and (2) TOGETHER are NOT sufficient to answer the questionasked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions: The data sufficiency problem consists of a question and two statements, labeled (1)and (2), in which certain data are given. You have to decide whether the data given in thestatements are sufficient for answering the question. Using the data given in the statements plusyour knowledge of mathematics and everyday facts (such as the number of days in July or themeaning of counterclockwise), you must indicate whetherQ.What is the probability thatandare reciprocal fractions?(1) v, w, y, and z are each randomly chosen from the first 100 positive integers.(2) The product (u)(x) is the median of 100 consecutive integers.a)statement (1) ALONE is sufficient, but statement (2) alone is not sufficient toanswer the question asked;b)statement (2) ALONE is sufficient, but statement (1) alone is not sufficient toanswer the question asked;c)BOTH statements (1) and (2) TO GETHER are sufficient to answer the questionasked, but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is suffi cient to answer the question asked;e)statements (1} and (2) TOGETHER are NOT sufficient to answer the questionasked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Directions: The data sufficiency problem consists of a question and two statements, labeled (1)and (2), in which certain data are given. You have to decide whether the data given in thestatements are sufficient for answering the question. Using the data given in the statements plusyour knowledge of mathematics and everyday facts (such as the number of days in July or themeaning of counterclockwise), you must indicate whetherQ.What is the probability thatandare reciprocal fractions?(1) v, w, y, and z are each randomly chosen from the first 100 positive integers.(2) The product (u)(x) is the median of 100 consecutive integers.a)statement (1) ALONE is sufficient, but statement (2) alone is not sufficient toanswer the question asked;b)statement (2) ALONE is sufficient, but statement (1) alone is not sufficient toanswer the question asked;c)BOTH statements (1) and (2) TO GETHER are sufficient to answer the questionasked, but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is suffi cient to answer the question asked;e)statements (1} and (2) TOGETHER are NOT sufficient to answer the questionasked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Directions: The data sufficiency problem consists of a question and two statements, labeled (1)and (2), in which certain data are given. You have to decide whether the data given in thestatements are sufficient for answering the question. Using the data given in the statements plusyour knowledge of mathematics and everyday facts (such as the number of days in July or themeaning of counterclockwise), you must indicate whetherQ.What is the probability thatandare reciprocal fractions?(1) v, w, y, and z are each randomly chosen from the first 100 positive integers.(2) The product (u)(x) is the median of 100 consecutive integers.a)statement (1) ALONE is sufficient, but statement (2) alone is not sufficient toanswer the question asked;b)statement (2) ALONE is sufficient, but statement (1) alone is not sufficient toanswer the question asked;c)BOTH statements (1) and (2) TO GETHER are sufficient to answer the questionasked, but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is suffi cient to answer the question asked;e)statements (1} and (2) TOGETHER are NOT sufficient to answer the questionasked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions: The data sufficiency problem consists of a question and two statements, labeled (1)and (2), in which certain data are given. You have to decide whether the data given in thestatements are sufficient for answering the question. Using the data given in the statements plusyour knowledge of mathematics and everyday facts (such as the number of days in July or themeaning of counterclockwise), you must indicate whetherQ.What is the probability thatandare reciprocal fractions?(1) v, w, y, and z are each randomly chosen from the first 100 positive integers.(2) The product (u)(x) is the median of 100 consecutive integers.a)statement (1) ALONE is sufficient, but statement (2) alone is not sufficient toanswer the question asked;b)statement (2) ALONE is sufficient, but statement (1) alone is not sufficient toanswer the question asked;c)BOTH statements (1) and (2) TO GETHER are sufficient to answer the questionasked, but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is suffi cient to answer the question asked;e)statements (1} and (2) TOGETHER are NOT sufficient to answer the questionasked, and additional data specific to the problem are needed.Correct answer is option 'C'. 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