Directions: Below question is followed by two statements I and II. You

1.	Directions: Below question is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.What is the average age of parents?Statement I:There are 7 members in a family which includes two grandparents, two parents, and three siblings. Grandfather'sage is 75years and grandmother’s age is 67years. The average age of two siblings is 15 andthe average age of the family is 40 years.Statement II: The third sibling’s age is 4 years more than the average age of the three siblings1. If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.2. If the data in statement II alone is sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.3. If the data either in statement I alone or in statement II alone is sufficient to answer the question.4. If the data even in both the statements I and II together are not sufficient to answer the question.5. If the data in both statements I and II together are needed to answer the question.
Answer» Correct Answer - Option 5 : If the data in both statements I and II together are needed to answer the question. Given: Statement I: Grandfather’s age = 75 Grandmother’s age = 67 Average age of two sibling = 15 Average age of family = 40 Statement II:Age of third sibling = 4 + Average age of all three siblings Formula used: Average age = Sum of ages of all persons/ Number of persons Calculations: Statement I: Let the average age of parents be ‘p’ and the age of third sibling be 't' Sum of age of two siblings = 15 × 2 = 30 Average age of family = 40 = (75 + 67+ 30 + t + 2p)/7 ⇒ 172+ t + 2p= 280 ⇒ t + 2p= 108 ----(i) Statement II: Let the average age of three siblings be 'x' Age of third sibling = x + 4 ⇒ [30 + (x +4)]/3 = x ⇒ 30 + x + 4 = 3x ⇒ 2x =34 ⇒ x = 17 Age of third sibling = t = 21 years Substituting the value of t in (i), ⇒ 21 + 2p = 108 ⇒ 2p = 87 ⇒ p = 43.5 years ∴If the data in both statements I and II together are needed to answer the question.

Directions: Below question is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.What is the average age of parents?Statement I:There are 7 members in a family which includes two grandparents, two parents, and three siblings. Grandfather'sage is 75years and grandmother’s age is 67years. The average age of two siblings is 15 andthe average age of the family is 40 years.Statement II: The third sibling’s age is 4 years more than the average age of the three siblings1. If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.2. If the data in statement II alone is sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.3. If the data either in statement I alone or in statement II alone is sufficient to answer the question.4. If the data even in both the statements I and II together are not sufficient to answer the question.5. If the data in both statements I and II together are needed to answer the question.

Answer» Correct Answer - Option 5 : If the data in both statements I and II together are needed to answer the question.

Given:

Statement I: Grandfather’s age = 75

Grandmother’s age = 67

Average age of two sibling = 15

Average age of family = 40

Statement II:Age of third sibling = 4 + Average age of all three siblings

Formula used:

Average age = Sum of ages of all persons/ Number of persons

Calculations:

Statement I:

Let the average age of parents be ‘p’ and the age of third sibling be 't'

Sum of age of two siblings = 15 × 2 = 30

Average age of family = 40 = (75 + 67+ 30 + t + 2p)/7

⇒ 172+ t + 2p= 280

⇒ t + 2p= 108 ----(i)

Statement II:

Let the average age of three siblings be 'x'

Age of third sibling = x + 4

⇒ [30 + (x +4)]/3 = x

⇒ 30 + x + 4 = 3x

⇒ 2x =34

⇒ x = 17

Age of third sibling = t = 21 years

Substituting the value of t in (i),

⇒ 21 + 2p = 108

⇒ 2p = 87

⇒ p = 43.5 years

∴If the data in both statements I and II together are needed to answer the question.

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