The following question has three statements. Study the question and the statements and decide which of the statement(s) is necessary to answer the question. In a family, there are 5 members, Abhay, Varun, Naman, Ajay and Kishan. Find the present age of Kishan. I. The average age of five family members is 42 years. II. The total age of Abhay, Varun and Naman is 96 years. III. The present age of Kishan is 14 years more than the age of Ajay.
The following question has three statements. Study the question and the statements and decide which of the statement(s) is necessary to answer the question. In a family, there are 5 members, Abhay, Varun, Naman, Ajay and Kishan. Find the present age of Kishan. I. The average age of five family members is 42 years. II. The total age of Abhay, Varun and Naman is 96 years. III. The present age of Kishan is 14 years more than the age of Ajay. Correct Answer All statements are required
Statement I;
Total age of five family member = 42 × 5 = 210 years
Statement I alone is not sufficient to give the answer
Statement II;
Total age of Abhay, Varun and Naman = 96 years
Statement II alone is not sufficient to give the answer
Statement III;
Let the age of Ajay = x years
Age of Kishan = x + 14 years
Statement III alone is not sufficient to give the answer
Statement I + Statement II + Statement III;
⇒ 210 = 96 + x + x + 14
⇒ x = 100/2 = 50
Hence present age of Kishan = x + 14 = 64 years
Hence all the statements are required to give the answer