Statements:1. She has less 50 paisa coins than one rupee coins.2. She ...
Statement I indicates that the number of 50 paise coins is 2 as that is the only case possible in this case and the number of one rupee coins is 3. Statement II independently gives the same result.
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Statements:1. She has less 50 paisa coins than one rupee coins.2. She ...
Statement Analysis:
Statement 1: She has less 50 paisa coins than one rupee coins.
Statement 2: She has a total of 5 coins.
To determine how many 50 paisa coins Maryanne has, we need to know the number of one rupee coins she has. Statement 1 gives us a comparison between the number of 50 paisa coins and one rupee coins, but it does not give us an exact value for either. Statement 2 tells us that Maryanne has a total of 5 coins, but it does not tell us how many of each type of coin she has. Therefore, we need to use both statements together to answer the question.
Answer Explanation:
Option B is the correct answer as the data either in statement I or in statement II is sufficient to answer the question. From Statement 2, we know that Maryanne has a total of 5 coins. Let's assume she has x number of one rupee coins and y number of 50 paisa coins. Therefore, we can write an equation based on the given information:
x + y = 5 ---(1)
From Statement 1, we know that Maryanne has less than 50 paisa coins than one rupee coins. This can be represented as:
y < />
We can use this inequality to eliminate one variable from equation (1). If we add y to both sides of the inequality, we get:
y + y < x="" +="" />
2y < x="" +="" />
2y < 5="" (from="" equation="" />
y < />
Since y represents the number of 50 paisa coins, it must be a whole number. Therefore, the maximum value of y can be 2 (as 3 50 paisa coins would be greater than 2 one rupee coins). We can now substitute y = 1 and y = 2 in equation (1) to get:
x + 1 = 5 or x + 2 = 5
x = 4 or x = 3
So, Maryanne could have either 3 one rupee coins and 2 50 paisa coins or 4 one rupee coins and 1 50 paisa coin. Therefore, we can conclude that Maryanne has either 1 or 2 50 paisa coins, and the data in statement I or statement II alone is sufficient to answer the question.