The following questions are accompanied by three statement A, B and C. you have to determine which statement (s) is /are necessary/ sufficient to answer the question.
What was the sum of the ages of the father and
the daughter 5 years earlier? A. Ratio of the father’s present age to the daughter’s age after 5 years is 5 : 2. B. The difference between twice the present age of the father and five times the daughter‘s present age is 20 years. C. The ratio of the age of the father after 5 Years to tha age of the daughter after 6 years is 5: 2.
Aall statements are requiredCorrect AnswerIncorrect Answer
BB and either A or C togetherCorrect AnswerIncorrect Answer
CAny one of themCorrect AnswerIncorrect Answer
DAny two of themCorrect AnswerIncorrect Answer
EQuestions can’t be answered even after using all the information.Correct AnswerIncorrect Answer
Solution
Let the present ages of father and daughter be F and D years respectively. A. [if gte msEquation 12]>FD+5 [if !msEquation]-->[endif]-->= `(F)/(D + 5)` =`(5)/(2)` [if gte msEquation 12]>52 [if !msEquation]-->[endif]--> 2F = 5D + 20 2F – 5 D = 20 B. 2 F – 5 D = 20 C. [if gte msEquation 12]>F+ 5D+6 [if !msEquation]-->[endif]-->= `(F + 5)/(D + 6)` =`(5)/(2)` [if gte msEquation 12]>52 [if !msEquation]-->[endif]--> 2 F + 10 = 5 D + 30 2 F – 5 D = 20 Here, all the three equations are the same.