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

Related Questions

The following questions have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. P, Q, R, S & T are five friends. Their mean age is 22. Find the age of R. Statement I∶ Q’s age is 3 years less than T and T’s age is 8 years less than S. Statement II∶ Age of P is 20. Statement III∶ R’s age is 4 years more than the Q’s age.