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Did David solve more questions than Steve in a 2-hour test?
(1) Thrice the number of questions that David solved in the test was greater than 6 less than thrice the number of questions that Steve solved in the test.
(2) Twice the number of questions that David solved in the test was greater than 4 less than twice the number of questions that Steve solved in the test.
(2) Twice the number of questions that David solved in the test was greater than 4 less than twice the number of questions that Steve solved in the test.
- 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 'E'. Can you explain this answer?
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Most Upvoted Answer
Did David solve more questions than Steve in a 2-hour test?(1) Thrice ...
Statement (1):
Thrice the number of questions that David solved in the test was greater than 6 less than thrice the number of questions that Steve solved in the test.
Let's assume the number of questions David solved is D, and the number of questions Steve solved is S.
From statement (1), we can write the equation:
3D > 3S - 6
Simplifying the equation, we get:
3D - 3S > -6
3(D - S) > -6
(D - S) > -2
From this equation, we can conclude that David solved more questions than Steve (D > S), since the difference between the number of questions they solved is greater than -2. However, we cannot determine the exact number of questions each person solved.
Statement (2):
Twice the number of questions that David solved in the test was greater than 4 less than twice the number of questions that Steve solved in the test.
Using the same notation as before, we can write the equation:
2D > 2S - 4
Simplifying the equation, we get:
2D - 2S > -4
2(D - S) > -4
(D - S) > -2
This equation is the same as the one obtained from statement (1). Therefore, statement (2) provides the same information as statement (1).
Combined statements:
Combining the two statements, we still have the same inequality: (D - S) > -2. This does not provide us with enough information to determine whether David solved more questions than Steve in the 2-hour test. We would need additional information, such as the actual values of D and S, to make a definitive conclusion.
Therefore, the correct answer is option E - Statements (1) and (2) together are not sufficient to answer the question asked, and additional data are needed.
Thrice the number of questions that David solved in the test was greater than 6 less than thrice the number of questions that Steve solved in the test.
Let's assume the number of questions David solved is D, and the number of questions Steve solved is S.
From statement (1), we can write the equation:
3D > 3S - 6
Simplifying the equation, we get:
3D - 3S > -6
3(D - S) > -6
(D - S) > -2
From this equation, we can conclude that David solved more questions than Steve (D > S), since the difference between the number of questions they solved is greater than -2. However, we cannot determine the exact number of questions each person solved.
Statement (2):
Twice the number of questions that David solved in the test was greater than 4 less than twice the number of questions that Steve solved in the test.
Using the same notation as before, we can write the equation:
2D > 2S - 4
Simplifying the equation, we get:
2D - 2S > -4
2(D - S) > -4
(D - S) > -2
This equation is the same as the one obtained from statement (1). Therefore, statement (2) provides the same information as statement (1).
Combined statements:
Combining the two statements, we still have the same inequality: (D - S) > -2. This does not provide us with enough information to determine whether David solved more questions than Steve in the 2-hour test. We would need additional information, such as the actual values of D and S, to make a definitive conclusion.
Therefore, the correct answer is option E - Statements (1) and (2) together are not sufficient to answer the question asked, and additional data are needed.
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Community Answer
Did David solve more questions than Steve in a 2-hour test?(1) Thrice ...
Statement 1:
We are given that Thrice the number of questions that David solved in the test was greater than 6 less than thrice the number of questions that Steve solved in the test.
⇒ 3x > 3y − 6
⇒ x > y − 2
We cannot determine whether x > y, since x is greater than a quantity y, which is reduced by a certain amount, 2.
⇒ x > y − 2
We cannot determine whether x > y, since x is greater than a quantity y, which is reduced by a certain amount, 2.
Let us take an example.
Say y = 10, thus x > 10−2 ⇒ x > 8.
If x = 9, then x ≯ y and the answer is No. However, if x = 11, then x > y and the answer is Yes. No unique answer. Insufficient!
Statement 2:
We are given that Twice the number of questions that David solved in the test was greater than 4 less than twice the number of questions that Steve solved in the test.
⇒ 2x > 2y − 4
⇒ x > y − 2
This is the same inequality that we got in Statement 1. Insufficient!
⇒ x > y − 2
This is the same inequality that we got in Statement 1. Insufficient!
Statement 1 & 2:
Since each statement renders the same inequality, even combining both the statements cannot help. Insufficient!
Conclusion:
Each statement renders that same inequality, thus combining both the statements will not help.
You may have deduced a wrong conclusion with the inequality x > y − 2.
We see that x is greater than a number y minus 2; thus, x may or may not be greater than y.
Had the situation been x > y + 2, then it's for certain that x > y; since x is greater than a number (y + 2), then x must be greater than a relatively smaller number y.
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Did David solve more questions than Steve in a 2-hour test?(1) Thrice the number of questions that David solved in the test was greater than 6 less than thrice the number of questions that Steve solved in the test.(2) Twice the number of questions that David solved in the test was greater than 4 less than twice the number of questions that Steve solved in the test.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 'E'. Can you explain this answer?
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Did David solve more questions than Steve in a 2-hour test?(1) Thrice the number of questions that David solved in the test was greater than 6 less than thrice the number of questions that Steve solved in the test.(2) Twice the number of questions that David solved in the test was greater than 4 less than twice the number of questions that Steve solved in the test.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 '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 Did David solve more questions than Steve in a 2-hour test?(1) Thrice the number of questions that David solved in the test was greater than 6 less than thrice the number of questions that Steve solved in the test.(2) Twice the number of questions that David solved in the test was greater than 4 less than twice the number of questions that Steve solved in the test.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 '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 Did David solve more questions than Steve in a 2-hour test?(1) Thrice the number of questions that David solved in the test was greater than 6 less than thrice the number of questions that Steve solved in the test.(2) Twice the number of questions that David solved in the test was greater than 4 less than twice the number of questions that Steve solved in the test.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 'E'. Can you explain this answer?.
Did David solve more questions than Steve in a 2-hour test?(1) Thrice the number of questions that David solved in the test was greater than 6 less than thrice the number of questions that Steve solved in the test.(2) Twice the number of questions that David solved in the test was greater than 4 less than twice the number of questions that Steve solved in the test.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 '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 Did David solve more questions than Steve in a 2-hour test?(1) Thrice the number of questions that David solved in the test was greater than 6 less than thrice the number of questions that Steve solved in the test.(2) Twice the number of questions that David solved in the test was greater than 4 less than twice the number of questions that Steve solved in the test.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 '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 Did David solve more questions than Steve in a 2-hour test?(1) Thrice the number of questions that David solved in the test was greater than 6 less than thrice the number of questions that Steve solved in the test.(2) Twice the number of questions that David solved in the test was greater than 4 less than twice the number of questions that Steve solved in the test.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 'E'. Can you explain this answer?.
Solutions for Did David solve more questions than Steve in a 2-hour test?(1) Thrice the number of questions that David solved in the test was greater than 6 less than thrice the number of questions that Steve solved in the test.(2) Twice the number of questions that David solved in the test was greater than 4 less than twice the number of questions that Steve solved in the test.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 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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Did David solve more questions than Steve in a 2-hour test?(1) Thrice the number of questions that David solved in the test was greater than 6 less than thrice the number of questions that Steve solved in the test.(2) Twice the number of questions that David solved in the test was greater than 4 less than twice the number of questions that Steve solved in the test.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 'E'. Can you explain this answer?, a detailed solution for Did David solve more questions than Steve in a 2-hour test?(1) Thrice the number of questions that David solved in the test was greater than 6 less than thrice the number of questions that Steve solved in the test.(2) Twice the number of questions that David solved in the test was greater than 4 less than twice the number of questions that Steve solved in the test.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 'E'. Can you explain this answer? has been provided alongside types of Did David solve more questions than Steve in a 2-hour test?(1) Thrice the number of questions that David solved in the test was greater than 6 less than thrice the number of questions that Steve solved in the test.(2) Twice the number of questions that David solved in the test was greater than 4 less than twice the number of questions that Steve solved in the test.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 'E'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Did David solve more questions than Steve in a 2-hour test?(1) Thrice the number of questions that David solved in the test was greater than 6 less than thrice the number of questions that Steve solved in the test.(2) Twice the number of questions that David solved in the test was greater than 4 less than twice the number of questions that Steve solved in the test.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 'E'. Can you explain this answer? tests, examples and also practice GMAT tests.
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