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Is p<3?
(1) In the coordinate plane, the point (-1,p) lies inside the square S. The sides of the square are 6 each and its diagonals intersect at the origin.
(2) In the coordinate plane, the point (p,-1) lies inside the circle with equation x2 + y2 = 25
(2) In the coordinate plane, the point (p,-1) lies inside the circle with equation x2 + y2 = 25
- 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 'A'. Can you explain this answer?
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Most Upvoted Answer
Is p<3?(1) In the coordinate plane, the point (-1,p) lies inside th...
Statement (1): In the coordinate plane, the point (-1, p) lies inside the square S. The sides of the square are 6 each, and its diagonals intersect at the origin.
From this statement, we know that the point (-1, p) lies inside the square S, and the sides of the square are 6 units each. We also know that the diagonals of the square intersect at the origin.
Since the diagonals of a square are equal in length and intersect at the midpoint, we can conclude that the length of each diagonal is equal to the square root of 2 times the side length of the square. In this case, the length of each diagonal is 6√2.
Since the diagonals intersect at the origin, the distance from the origin to the point (-1, p) is equal to half the length of a diagonal, which is 6√2 / 2 = 3√2.
Now, the question asks if p < 3. To answer this, we need to compare the value of p with 3.
However, statement (1) alone does not provide any information about the value of p. We know the distance from the origin to (-1, p) is 3√2, but we don't have any direct information about the value of p. Therefore, statement (1) alone is not sufficient to answer the question.
Statement (2): In the coordinate plane, the point (p, -1) lies inside the circle with equation x^2 + y^2 = 25.
From this statement, we know that the point (p, -1) lies inside the circle with equation x^2 + y^2 = 25, which is a circle with a radius of 5 centered at the origin.
Since the y-coordinate of the point (p, -1) is -1, we can conclude that the distance from the origin to (p, -1) is less than 5.
However, this information alone does not provide any direct information about the value of p. We cannot determine if p is less than 3 based on statement (2) alone. Therefore, statement (2) alone is not sufficient to answer the question.
Combining the statements:
Together, we know from statement (1) that the distance from the origin to (-1, p) is 3√2, and from statement (2) that the distance from the origin to (p, -1) is less than 5.
However, even when combining the statements, we still do not have enough information to determine if p is less than 3. The two statements provide information about different points and distances in the coordinate plane, and there is no direct relationship between them that allows us to determine the value of p.
Therefore, both statements together are not sufficient to answer the question.
In conclusion, the correct answer is (A) Statement (1) alone is sufficient, but statement (2) alone is not sufficient to answer the question asked.
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Is p<3?(1) In the coordinate plane, the point (-1,p) lies inside th...
Statement (1): In the coordinate plane, the point (-1, p) lies inside the square S. The sides of the square are 6 each, and its diagonals intersect at the origin.
From this statement, we know that the point (-1, p) lies inside the square S, and the sides of the square are 6 units each. We also know that the diagonals of the square intersect at the origin.
Since the diagonals of a square are equal in length and intersect at the midpoint, we can conclude that the length of each diagonal is equal to the square root of 2 times the side length of the square. In this case, the length of each diagonal is 6√2.
Since the diagonals intersect at the origin, the distance from the origin to the point (-1, p) is equal to half the length of a diagonal, which is 6√2 / 2 = 3√2.
Now, the question asks if p < 3. To answer this, we need to compare the value of p with 3.
However, statement (1) alone does not provide any information about the value of p. We know the distance from the origin to (-1, p) is 3√2, but we don't have any direct information about the value of p. Therefore, statement (1) alone is not sufficient to answer the question.
Statement (2): In the coordinate plane, the point (p, -1) lies inside the circle with equation x^2 + y^2 = 25.
From this statement, we know that the point (p, -1) lies inside the circle with equation x^2 + y^2 = 25, which is a circle with a radius of 5 centered at the origin.
Since the y-coordinate of the point (p, -1) is -1, we can conclude that the distance from the origin to (p, -1) is less than 5.
However, this information alone does not provide any direct information about the value of p. We cannot determine if p is less than 3 based on statement (2) alone. Therefore, statement (2) alone is not sufficient to answer the question.
Combining the statements:
Together, we know from statement (1) that the distance from the origin to (-1, p) is 3√2, and from statement (2) that the distance from the origin to (p, -1) is less than 5.
However, even when combining the statements, we still do not have enough information to determine if p is less than 3. The two statements provide information about different points and distances in the coordinate plane, and there is no direct relationship between them that allows us to determine the value of p.
Therefore, both statements together are not sufficient to answer the question.
In conclusion, the correct answer is (A) Statement (1) alone is sufficient, but statement (2) alone is not sufficient to answer the question asked.
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Is p<3?(1) In the coordinate plane, the point (-1,p) lies inside the square S. The sides of the square are 6 each and its diagonals intersect at the origin.(2) In the coordinate plane, the point (p,-1) lies inside the circle with equationx2 + y2 = 25a)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 'A'. Can you explain this answer?
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Is p<3?(1) In the coordinate plane, the point (-1,p) lies inside the square S. The sides of the square are 6 each and its diagonals intersect at the origin.(2) In the coordinate plane, the point (p,-1) lies inside the circle with equationx2 + y2 = 25a)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 'A'. 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 p<3?(1) In the coordinate plane, the point (-1,p) lies inside the square S. The sides of the square are 6 each and its diagonals intersect at the origin.(2) In the coordinate plane, the point (p,-1) lies inside the circle with equationx2 + y2 = 25a)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 'A'. 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 p<3?(1) In the coordinate plane, the point (-1,p) lies inside the square S. The sides of the square are 6 each and its diagonals intersect at the origin.(2) In the coordinate plane, the point (p,-1) lies inside the circle with equationx2 + y2 = 25a)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 'A'. Can you explain this answer?.
Is p<3?(1) In the coordinate plane, the point (-1,p) lies inside the square S. The sides of the square are 6 each and its diagonals intersect at the origin.(2) In the coordinate plane, the point (p,-1) lies inside the circle with equationx2 + y2 = 25a)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 'A'. 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 p<3?(1) In the coordinate plane, the point (-1,p) lies inside the square S. The sides of the square are 6 each and its diagonals intersect at the origin.(2) In the coordinate plane, the point (p,-1) lies inside the circle with equationx2 + y2 = 25a)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 'A'. 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 p<3?(1) In the coordinate plane, the point (-1,p) lies inside the square S. The sides of the square are 6 each and its diagonals intersect at the origin.(2) In the coordinate plane, the point (p,-1) lies inside the circle with equationx2 + y2 = 25a)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 'A'. Can you explain this answer?.
Solutions for Is p<3?(1) In the coordinate plane, the point (-1,p) lies inside the square S. The sides of the square are 6 each and its diagonals intersect at the origin.(2) In the coordinate plane, the point (p,-1) lies inside the circle with equationx2 + y2 = 25a)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 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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Here you can find the meaning of Is p<3?(1) In the coordinate plane, the point (-1,p) lies inside the square S. The sides of the square are 6 each and its diagonals intersect at the origin.(2) In the coordinate plane, the point (p,-1) lies inside the circle with equationx2 + y2 = 25a)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 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Is p<3?(1) In the coordinate plane, the point (-1,p) lies inside the square S. The sides of the square are 6 each and its diagonals intersect at the origin.(2) In the coordinate plane, the point (p,-1) lies inside the circle with equationx2 + y2 = 25a)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 'A'. Can you explain this answer?, a detailed solution for Is p<3?(1) In the coordinate plane, the point (-1,p) lies inside the square S. The sides of the square are 6 each and its diagonals intersect at the origin.(2) In the coordinate plane, the point (p,-1) lies inside the circle with equationx2 + y2 = 25a)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 'A'. Can you explain this answer? has been provided alongside types of Is p<3?(1) In the coordinate plane, the point (-1,p) lies inside the square S. The sides of the square are 6 each and its diagonals intersect at the origin.(2) In the coordinate plane, the point (p,-1) lies inside the circle with equationx2 + y2 = 25a)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 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Is p<3?(1) In the coordinate plane, the point (-1,p) lies inside the square S. The sides of the square are 6 each and its diagonals intersect at the origin.(2) In the coordinate plane, the point (p,-1) lies inside the circle with equationx2 + y2 = 25a)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 'A'. Can you explain this answer? tests, examples and also practice GMAT tests.
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