Below question consists of a question and two statements numbered I and II are given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer: What is the father’s present age I. Father’s present age is five times the son’s present age. II. Five years ago the father’s age was fifteen times the son’s age that time.?

Question

Below question consists of a question and two statements numbered I and II are given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer: What is the father’s present age I. Father’s present age is five times the son’s present age. II. Five years ago the father’s age was fifteen times the son’s age that time.?

The data in Statement I alone is sufficient to answer the question, while the data in Statement II alone is not sufficient to answer the question.
The data in Statement II alone is sufficient to answer the question, while the data in Statement I alone is not sufficient to answer the question.
The data in Statement I alone or in Statement II alone are sufficient to answer the question.
The data in both the Statements I and II is not sufficient to answer the question.
The data in both the Statement I and II together are necessary to answer the question.

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AhmedNazir · Answer 1 · Sep 04, 2022 04:29:57

Option 5 : The data in both the Statement I and II together are necessary to answer the question.

Assume that the father’s present age is F years & that of son is S years.

From statement 1:

Given that, father’s present age is five times the son’s present age.

∴ F = 5S ___________ (1)

∴Using the statement alone we can find infinite number of (F, S) pairs. So no definite conclusion can be drawn.

From statement 2:

Five years ago the father’s age was (F – 5) years & Son’s age was (S – 5) years.

Given that, five years ago the father’s age was fifteen times the son’s age that time.

(F – 5) = 15 × (S – 5) ____________ (2)

∴Using the statement alone we can find infinite number of (F, S) pairs. Because to get the values of two variables we need two independent equations. So no definite conclusion can be drawn.

From statement 1 & 2 together:

Using both the statement together we can get two independent equations that are necessary to get the values of two variables.

So solving equation (1) & (2) we get,

F = 35 years & S = 7 years.

∴ Father’s present age is 35 years.

So, the data in both the Statement I and II together are necessary to answer the question.

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