Question: A man has 1044 candles. After burning, he can make a new candle from 9 stubs left behind. Find the maximum number of candles that can be made.
- 116
- 120
- 130
- 140
Correct Answer: C
Solution and Explanation:
Approach Solution:
There is only 1 approach to solving this question
In this question of problem solving, the given scenario states that there are 1044 candles that a man has with him. After he burns these candles, he can make new candles from the 9 stubs that are left behind. What is needed to be searched for is the number of candles that the man makes out of the 9 stubs.
In order to solve this problem, it can be considered that 9 stubs have been identified from 1044 candles. Hence, dividing the number of candles with that of the number of stubs of candles would help in evaluating the remaining number of them that can be made.
This can be implicated through the following equation as:
\(\frac{1044}{9} \) = 116
Further, the number of candles that can be made needs to be identified by adding the remainder from each of the divisions that are to be done. Accordingly, every remainder needs to be divided with the number of stubs, and adding them together would help in finding the solution. This can be evaluated as follows:
\(\frac{116}{9} \) = 12 with a remainder of 8
\(\frac{12}{9} \)= 1 with a remainder of 3
However, there are two situations that have been contemplated here. The first is to add the remainder and the second is to add the quotient to search for results. Accordingly, adding the remainder gives the following answer:
8 + 3 + 1 = 12
This certainly is not sufficient and not the answer.
The second condition is of adding all the quotients to get the answer asked for the problem. This implies as follows:
116 + 12 + 1 + 1 = 130.
Hence, option C with 130 is the correct answer.
“A man has 1044 candles. After burning, he can make a new candle from 9 stubs left behind.” - this is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Quantitative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills.
In the GMAT Problem Solving section, examiners measure how well the candidates make analytical and logical approaches to solve numerical problems. In this section, candidates have to evaluate and interpret data from a given graphical representation. In this section, mostly one finds out mathematical questions. Five answer choices are given for each GMAT Problem solving question.
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