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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.

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. Correct Answer All the statements are required to answer the question.

Given that mean age is 22;

∴ P + Q + R + S + T = 22 × 5 = 110

Since P = 20

∴ Q + R + S + T = 110 – 20 = 90      ---- (1)

Q = T – 3 and S = T + 8

R = Q + 4

We can also write it as∶ R = T + 1

From equation 1∶

(T – 3) + (T + 1) + (T + 8) + T = 90

⇒ 4T = 90 – 6 = 84

⇒ T = 21

∴ R = 21 + 1 = 22

∴ All the statements are required to answer the question.

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