If 53 Students are Enrolled in Both the CS103 (Algorithms and Data Structures) And M101 (Mathematics for Computer Science) Classes, How Many of the CS103 Students are no Enrolled in M101?

Question: If 53 students are enrolled in both the CS103 (Algorithms and Data Structures) And M101 (Mathematics for Computer Science) classes, how many of the CS103 students are no enrolled in M101?

1. 72 students are taking M101.
2. 59 students are taking CS103

1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
4. EACH statement ALONE is sufficient.
5. Statements (1) and (2) TOGETHER are NOT sufficient.

“If 53 students are enrolled in both the CS103 (Algorithms and Data Structures) And M101 (Mathematics for Computer Science) classes, how many of the CS103 students are no enrolled in M101?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book "GMAT Quantitative Review". GMAT Quant section consists of a total of 31 questions. GMAT Data Sufficiency questions consist of a problem statement followed by two factual statements.GMAT data sufficiency comprises 15 questions which are two-fifths of the total 31 GMAT quant questions.

Answer:

Considering statement (1), it is insufficient in itself because we don’t know anything about the number of students taking CS103.
Now, considering statement (2), it is also sufficient in itself. This statement tells su that 59 students are taking CS103. We already know that 53 students out of 59 students took M101 as well.

Thus, we have seen that:
59 – 53 = 6, means 6 students are not enrolled in M101.

Correct Answer: B

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