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At the elite university, 500 students study Computer Science or Electrical Engineering or both. If 100 of these students do not study Electrical Engineering, how many of these students study both Computer Science and Electrical Engineering?
(1) Of the 500 students, 90 do not study Computer Science.
(2) A total of 410 of the students study Computer Science.
(1) Of the 500 students, 90 do not study Computer Science.
(2) A total of 410 of the students study Computer Science.
- 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?
Most Upvoted Answer
At the elite university, 500 students study Computer Science or Electr...
Statement (1) alone is not sufficient to answer the question asked, as it only provides information about the students who do not study Computer Science.
Statement (2) alone is also not sufficient to answer the question asked, as it only provides information about the total number of students studying Computer Science.
Let's analyze both statements together:
From statement (1), we know that 90 students do not study Computer Science. However, this does not tell us anything about the students studying Electrical Engineering or both Computer Science and Electrical Engineering.
From statement (2), we know that 410 students study Computer Science. Again, this does not provide any information about the students studying Electrical Engineering or both subjects.
Combining both statements, we can deduce the following:
Let's assume the number of students studying both Computer Science and Electrical Engineering is x.
From statement (1), we know that 100 students do not study Electrical Engineering. This means that the remaining 500 - 100 = 400 students study Electrical Engineering.
From statement (2), we know that 410 students study Computer Science. Since x students study both subjects, the number of students studying only Computer Science is 410 - x.
To find the number of students studying both subjects, we can subtract the number of students studying only Computer Science from the total number of students studying Computer Science:
(410 - x) + x = 410
410 = 410
This equation tells us that x can be any value between 0 and 410. Therefore, we cannot determine the exact number of students studying both Computer Science and Electrical Engineering.
Hence, both statements together are not sufficient to answer the question asked.
Therefore, the correct answer is option D.
Statement (2) alone is also not sufficient to answer the question asked, as it only provides information about the total number of students studying Computer Science.
Let's analyze both statements together:
From statement (1), we know that 90 students do not study Computer Science. However, this does not tell us anything about the students studying Electrical Engineering or both Computer Science and Electrical Engineering.
From statement (2), we know that 410 students study Computer Science. Again, this does not provide any information about the students studying Electrical Engineering or both subjects.
Combining both statements, we can deduce the following:
Let's assume the number of students studying both Computer Science and Electrical Engineering is x.
From statement (1), we know that 100 students do not study Electrical Engineering. This means that the remaining 500 - 100 = 400 students study Electrical Engineering.
From statement (2), we know that 410 students study Computer Science. Since x students study both subjects, the number of students studying only Computer Science is 410 - x.
To find the number of students studying both subjects, we can subtract the number of students studying only Computer Science from the total number of students studying Computer Science:
(410 - x) + x = 410
410 = 410
This equation tells us that x can be any value between 0 and 410. Therefore, we cannot determine the exact number of students studying both Computer Science and Electrical Engineering.
Hence, both statements together are not sufficient to answer the question asked.
Therefore, the correct answer is option D.
Community Answer
At the elite university, 500 students study Computer Science or Electr...
Statement (1): Of the 500 students, 90 do not study Computer Science.
This statement provides information about the students who do not study Computer Science but does not directly give any information about the students who study both Computer Science and Electrical Engineering. However, if we subtract the students who do not study Computer Science (90) from the total number of students (500), we can determine the number of students who study Computer Science. Since we know the total number of students studying Electrical Engineering is 100, we can subtract the students who study only Computer Science from the total number of Computer Science students to find the number of students who study both. Therefore, statement (1) alone is sufficient to answer the question.
Statement (2): A total of 410 of the students study Computer Science.
This statement provides information about the total number of students studying Computer Science but does not directly give any information about the students who study both Computer Science and Electrical Engineering. Without knowing the number of students who do not study Computer Science or the number of students studying Electrical Engineering, we cannot determine the number of students who study both. Therefore, statement (2) alone is not sufficient to answer the question.
When we consider both statements together, we can combine the information as follows:
From statement (1), we know that 90 students do not study Computer Science. From statement (2), we know that 410 students study Computer Science.
Using this information, we can subtract the number of students who do not study Computer Science (90) from the total number of students studying Computer Science (410) to find the number of students who study both Computer Science and Electrical Engineering.
Therefore, each statement alone is sufficient to answer the question.
Hence, the correct answer is D).
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At the elite university, 500 students study Computer Science or Electrical Engineering or both. If 100 of these students do not study Electrical Engineering, how many of these students study both Computer Science and Electrical Engineering?(1) Of the 500 students, 90 do not study Computer Science.(2) A total of 410 of the students study Computer Science.a)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?
Question Description
At the elite university, 500 students study Computer Science or Electrical Engineering or both. If 100 of these students do not study Electrical Engineering, how many of these students study both Computer Science and Electrical Engineering?(1) Of the 500 students, 90 do not study Computer Science.(2) A total of 410 of the students study Computer Science.a)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 At the elite university, 500 students study Computer Science or Electrical Engineering or both. If 100 of these students do not study Electrical Engineering, how many of these students study both Computer Science and Electrical Engineering?(1) Of the 500 students, 90 do not study Computer Science.(2) A total of 410 of the students study Computer Science.a)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 At the elite university, 500 students study Computer Science or Electrical Engineering or both. If 100 of these students do not study Electrical Engineering, how many of these students study both Computer Science and Electrical Engineering?(1) Of the 500 students, 90 do not study Computer Science.(2) A total of 410 of the students study Computer Science.a)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?.
At the elite university, 500 students study Computer Science or Electrical Engineering or both. If 100 of these students do not study Electrical Engineering, how many of these students study both Computer Science and Electrical Engineering?(1) Of the 500 students, 90 do not study Computer Science.(2) A total of 410 of the students study Computer Science.a)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 At the elite university, 500 students study Computer Science or Electrical Engineering or both. If 100 of these students do not study Electrical Engineering, how many of these students study both Computer Science and Electrical Engineering?(1) Of the 500 students, 90 do not study Computer Science.(2) A total of 410 of the students study Computer Science.a)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 At the elite university, 500 students study Computer Science or Electrical Engineering or both. If 100 of these students do not study Electrical Engineering, how many of these students study both Computer Science and Electrical Engineering?(1) Of the 500 students, 90 do not study Computer Science.(2) A total of 410 of the students study Computer Science.a)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 At the elite university, 500 students study Computer Science or Electrical Engineering or both. If 100 of these students do not study Electrical Engineering, how many of these students study both Computer Science and Electrical Engineering?(1) Of the 500 students, 90 do not study Computer Science.(2) A total of 410 of the students study Computer Science.a)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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At the elite university, 500 students study Computer Science or Electrical Engineering or both. If 100 of these students do not study Electrical Engineering, how many of these students study both Computer Science and Electrical Engineering?(1) Of the 500 students, 90 do not study Computer Science.(2) A total of 410 of the students study Computer Science.a)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 At the elite university, 500 students study Computer Science or Electrical Engineering or both. If 100 of these students do not study Electrical Engineering, how many of these students study both Computer Science and Electrical Engineering?(1) Of the 500 students, 90 do not study Computer Science.(2) A total of 410 of the students study Computer Science.a)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 At the elite university, 500 students study Computer Science or Electrical Engineering or both. If 100 of these students do not study Electrical Engineering, how many of these students study both Computer Science and Electrical Engineering?(1) Of the 500 students, 90 do not study Computer Science.(2) A total of 410 of the students study Computer Science.a)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
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