Question

If John is exactly 4 yrs older than Sunita, how old is John?

I. Exactly 9 yrs ago, John was 5 times as old as Sunita was then.

II. Sunita is more than 9 yrs old.

• A. If 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
• B. If 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
• C. If the data either in statement I alone or in statement II alone are sufficient to answer the question
• D. If the data given in both statements I and II together are not sufficient to answer the question

Answer 1

The correct option is A

If 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

Let the age of Sunita = `x' yrs

Then, age of John = `(x + 4)' yrs

From Statement I, 5(x - 9) = (x + 4) - 9

$⟹$ 5x - 45 = x + 4 - 9

$⟹$ 5x - x = - 5 + 45

$⟹$ 4x = 40

$\therefore$ $x=\frac{40}{4}$

$\therefore$ Age of John = (x + 4) = 10 + 4 = 14 yrs

So, Statement I alone is sufficient to answer the question, while Statement II alone is not sufficient.