GMAT Question  >  Did David solve more questions than Steve in ... Save

Related Test

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?

Answers

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.
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!
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.

View courses related to this question
Explore GMAT courses
Explore GMAT courses
View courses related to this question
1 Crore+ students have signed up on EduRev. Have you?

Similar GMAT Doubts

  • Directions: Each Data Sufficiency problem consists of a question and two st... more

  • 1 Answer

  • Directions: Each Data Sufficiency problem consists of a question and two st... more

  • 1 Answer

  • Directions: Each Data Sufficiency problem consists of a question and two st... more

  • 1 Answer

  • This data sufficiency problem consists of a question and two statements, la... more

  • 1 Answer

  • Directions: Each Data Sufficiency problem consists of a question and two st... more

  • 1 Answer

Question Description
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 2023 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 2023 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. 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 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? defined & explained in the simplest way possible. Besides giving the explanation 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?, 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.
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 − 2We 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 − 2This 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 its 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.