Which of the following can be the total number of the five types of animals together present in the given five reserved forests?
1. The number of Rhinos present in JNP, PWS, NNP, MNP, and KNP are in the ratio 1:2:11:17:23 in that order. This is true for any of the other four animals.
2. If we randomly select any one of these five reserve forests, the ratio of the number of Rhino, Leopard, Gibbon, Sambar, and Wild Pigs in that order is 1:2:11:17:23.
Options:
65068
66068
67068
68068
Answer (1)
To solve the problem, we need to analyze the given ratios and find a common multiple that satisfies the total number of animals in all five forests.
First, let's understand the information provided:
The number of Rhinos in the five forests (JNP, PWS, NNP, MNP, KNP) is in the ratio 1 : 2 : 11 : 17 : 23 . This ratio holds true for each additional type of animal (Leopard, Gibbon, Sambar, and Wild Pigs).
The ratio of the number of animals (Rhino, Leopard, Gibbon, Sambar, and Wild Pigs) in any one forest is 1 : 2 : 11 : 17 : 23 .
Given these ratios, let's calculate the total sum of ratios for the animals in any one forest first:
1 + 2 + 11 + 17 + 23 = 54
This means for every forest, the total units of all types of animals add up to 54.
Next, we want to find the total number of units across all five forests, which is simply multiplying the total number of units for one forest by 5:
54 × 5 = 270
This means the total units represented by animals across all five forests is 270.
Now, looking at the options given (650, 686, 606, 867, 068), our goal is to find which of these can logically represent a total that can be decomposed into groups that have 270 as a multiple (since the sum of units across all types of animals must be proportional to 270).
By testing the divisibility of 270 into the options, we find:
650 divided by 270 is not a whole number.
686 divided by 270 is not a whole number.
606 divided by 270 is not a whole number.
867 divided by 270 is approximately 3.21, which is not a whole number.
Therefore, none of the provided options exactly match a total number that fits the ratio perfectly.
This might suggest a reconsideration or typo in the options given, so further clarification from the question setter might be required. But based on the provided logic and calculation, none of the provided numbers can serve as a valid total given the ratios and requirements.
