CAT Quantitative Aptitude Questions | CAT Ratios, Mixtures, Alligations and Averages Questions

The question is from CAT Ratio, Mixtures and Averages. Another question on possible value. We need to find out the possible minimum number of fruits in the shop given the ratio of different fruits. CAT exam is known to test on basics rather than high funda ideas. A range of CAT questions can be asked from Ratios and Proportions, Mixtures, Alligations and Averages. Make sure you master the topics. 2IIMs CAT questions bank provides you with CAT questions that can help you gear for CAT Exam CAT 2023.

Question 23: A fruit seller has oranges, apples and guavas in the ratio 2:5:8. The number of apples is more than the number of oranges by a number that is a multiple of both 6 and 8. What is the minimum number of fruits in his shop?

1. 240
2. 360
3. 120
4. 90

Explanatory Answer

Method of solving this CAT Question from Ratio, Mixtures and Averages: Finding the LCM of 6 and 8 will help!

Let the number of fruits be 2k, 5k and 8k
Given, 5k – 2k = multiple of 6 and 8
LCM of 6 and 8 is 24
Let’s say 5k – 2k = 24n
3k = 24n
For k to be a natural number and have minimum value, n should be equal to 1
3k = 24
Or k = 8
Hence, the number of fruits = 2k + 5k + 8k
= 15 * 8= 120

The question is "What is the minimum number of fruits in his shop?"

Hence, the answer is "120".

Choice C is the correct answer.