Question
If 5p + 2q = 23, then determine the value of ‘p’
Statement I: 35p + 14q = 161 Statement II: 20p + 8q = 92 The question consists of two statements numbered “I and II” given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Solution
ATQ, Statement I: Given, 5p + 2q = 23…. (1) And, 35p + 14q = 161 Diving the equation throughout by 7, we get 5p + 2q = 23….. (2) Therefore, we cannot find the value of ‘p’. So, data in statement I alone is not sufficient to answer the question. Statement II: Given, 5p + 2q = 23…. (1) And, 20p + 8q = 92 Dividing the equation throughout by 4, we get 5p + 2q = 23….. (2) Therefore, we cannot find the value of ‘p’. So, data in statement II alone is not sufficient to answer the question. Combining statement I and II, we cannot find the value of ‘p’. So, data given in both statements I and II together are not sufficient to answer the question.
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