Question: A teacher distributed a number of candies, cookies, and toffees among the students in the class. How many students were there in the class?
(1) The numbers of candies, cookies, and toffees that each student received were in the ratio 3:4:5, respectively.
(2) The teacher distributed a total of 27 candies, 36 cookies, and 45 toffees
- Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
- Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
- BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
- EACH statement ALONE is sufficient.
- Statements (1) and (2) TOGETHER are not sufficient.
Correct Answer: E
Solution and Explanation:
Approach Solution 1:
As per statement 1 we know the ratio but do not know how many candies/Cookies/Toffees did each student receive. Hence Not Sufficient.
Statement 2 just tells the ratio of the three items distributed (same as Statement 1). And says nothing about the actual number received by each student. Hence Not Sufficient.
Approach Solution 2:
Statement 1 is insufficient as it does not give any information on the number of students in the class.
Statement 2 gives the total number of candies, cookies and toffees distributed but doesn't give information on how many of those did each get hence insufficient.
Statements 1 and 2 together are also insufficient as 27, 36 and 45 can be distributed in the ratio of 3:4:5 among 9 students with 3,4 and 5 each or among 3 students with 9,12 and 15 each.
“A teacher distributed a number of candies, cookies, and toffees among”- is a topic of the GMAT Quantitative reasoning section of GMAT. 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.
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