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Is y between 1 and 2, exclusive?
(1) y2 is less than y
(2) y2 + y is between 1 and 2, exclusive
(2) y2 + y is between 1 and 2, exclusive
- 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 'D'. Can you explain this answer?
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Most Upvoted Answer
Is y between 1 and 2, exclusive?(1) y2 is less than y(2) y2 + y is bet...
Statement (1):
We are given that y^2 is less than y. This implies that y^2 - y < />
Factoring out y from the expression, we have y(y - 1) < />
To determine the sign of the expression, we need to consider three cases:
1. y > 0 and y - 1 > 0: In this case, both factors are positive, and their product is positive. This case is not valid because y cannot be greater than 1.
2. y < 0="" and="" y="" -="" 1="" />< 0:="" in="" this="" case,="" both="" factors="" are="" negative,="" and="" their="" product="" is="" positive.="" this="" case="" is="" not="" valid="" because="" y="" cannot="" be="" less="" than="" />
3. 0 < y="" />< 1="" and="" y="" -="" 1="" /> 0: In this case, the first factor is positive and the second factor is negative, resulting in a negative product. This case is valid because it satisfies the given condition that y is between 1 and 2, exclusive.
Statement (2):
We are given that y^2 < y="" and="" y="" is="" between="" 1="" and="" 2,="" />
Combining these two conditions, we can conclude that y^2 < y="" />< />
However, this information is not sufficient to determine whether y is between 1 and 2, exclusive.
Combined statements:
Since statement (1) alone is sufficient to determine that y is between 1 and 2, exclusive, and statement (2) alone is not sufficient, the correct answer is option D. Each statement alone is sufficient to answer the question asked.
We are given that y^2 is less than y. This implies that y^2 - y < />
Factoring out y from the expression, we have y(y - 1) < />
To determine the sign of the expression, we need to consider three cases:
1. y > 0 and y - 1 > 0: In this case, both factors are positive, and their product is positive. This case is not valid because y cannot be greater than 1.
2. y < 0="" and="" y="" -="" 1="" />< 0:="" in="" this="" case,="" both="" factors="" are="" negative,="" and="" their="" product="" is="" positive.="" this="" case="" is="" not="" valid="" because="" y="" cannot="" be="" less="" than="" />
3. 0 < y="" />< 1="" and="" y="" -="" 1="" /> 0: In this case, the first factor is positive and the second factor is negative, resulting in a negative product. This case is valid because it satisfies the given condition that y is between 1 and 2, exclusive.
Statement (2):
We are given that y^2 < y="" and="" y="" is="" between="" 1="" and="" 2,="" />
Combining these two conditions, we can conclude that y^2 < y="" />< />
However, this information is not sufficient to determine whether y is between 1 and 2, exclusive.
Combined statements:
Since statement (1) alone is sufficient to determine that y is between 1 and 2, exclusive, and statement (2) alone is not sufficient, the correct answer is option D. Each statement alone is sufficient to answer the question asked.
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Is y between 1 and 2, exclusive?(1) y2 is less than y(2) y2 + y is bet...
Statement 1: y2 is less than y
This statement tells us that y2 < y. From this inequality, we can deduce that y(1 - y) > 0. The solutions to this inequality are 0 < y < 1 or y > 1. However, since the question specifically asks if y is between 1 and 2, exclusive, the only possible value for y satisfying both conditions is y = 1. Therefore, statement 1 alone is sufficient to answer the question.
This statement tells us that y2 < y. From this inequality, we can deduce that y(1 - y) > 0. The solutions to this inequality are 0 < y < 1 or y > 1. However, since the question specifically asks if y is between 1 and 2, exclusive, the only possible value for y satisfying both conditions is y = 1. Therefore, statement 1 alone is sufficient to answer the question.
Statement 2: y2 + y is between 1 and 2, exclusive
This statement tells us that 1 < y2 + y < 2. By solving this inequality, we find that -2 < y < 1. However, this range does not satisfy the condition that y is between 1 and 2, exclusive. Therefore, statement 2 alone is not sufficient to answer the question.
This statement tells us that 1 < y2 + y < 2. By solving this inequality, we find that -2 < y < 1. However, this range does not satisfy the condition that y is between 1 and 2, exclusive. Therefore, statement 2 alone is not sufficient to answer the question.
Since statement 1 alone is sufficient to answer the question, and statement 2 alone is not, the answer is option D: EACH statement ALONE is sufficient to answer the question asked.
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Is y between 1 and 2, exclusive?(1) y2 is less than y(2) y2 + y is between 1 and 2, exclusivea)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 'D'. Can you explain this answer?
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Is y between 1 and 2, exclusive?(1) y2 is less than y(2) y2 + y is between 1 and 2, exclusivea)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 'D'. 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 Is y between 1 and 2, exclusive?(1) y2 is less than y(2) y2 + y is between 1 and 2, exclusivea)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 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Is y between 1 and 2, exclusive?(1) y2 is less than y(2) y2 + y is between 1 and 2, exclusivea)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 'D'. Can you explain this answer?.
Is y between 1 and 2, exclusive?(1) y2 is less than y(2) y2 + y is between 1 and 2, exclusivea)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 'D'. 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 Is y between 1 and 2, exclusive?(1) y2 is less than y(2) y2 + y is between 1 and 2, exclusivea)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 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Is y between 1 and 2, exclusive?(1) y2 is less than y(2) y2 + y is between 1 and 2, exclusivea)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 'D'. Can you explain this answer?.
Solutions for Is y between 1 and 2, exclusive?(1) y2 is less than y(2) y2 + y is between 1 and 2, exclusivea)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 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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Is y between 1 and 2, exclusive?(1) y2 is less than y(2) y2 + y is between 1 and 2, exclusivea)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 'D'. Can you explain this answer?, a detailed solution for Is y between 1 and 2, exclusive?(1) y2 is less than y(2) y2 + y is between 1 and 2, exclusivea)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 'D'. Can you explain this answer? has been provided alongside types of Is y between 1 and 2, exclusive?(1) y2 is less than y(2) y2 + y is between 1 and 2, exclusivea)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 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Is y between 1 and 2, exclusive?(1) y2 is less than y(2) y2 + y is between 1 and 2, exclusivea)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 'D'. Can you explain this answer? tests, examples and also practice GMAT tests.
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