Given below is a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. You should use the given data and your knowledge of Mathematics to choose between the possible answers. By how many years Kate is younger to Lucy? I. Lucy is half of the age of her mother who was 43 years old 5 years back. II. Kate is younger sister of Lucy and is one third the current age of her mother.

Given below is a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. You should use the given data and your knowledge of Mathematics to choose between the possible answers.

By how many years Kate is younger to Lucy?

I. Lucy is half of the age of her mother who was 43 years old 5 years back.

II. Kate is younger sister of Lucy and is one third the current age of her mother.

A 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 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 The data in statement I alone or in statement II alone is sufficient to answer the question.

D The data in both the statements I and II is not sufficient to answer the question.

E The data in both the statements I and II together is necessary to answer the question.

Solution

Correct Answer: Option E

From statement I:

Lucy is half of the age of her mother who was 43 years old 5 years back.

So, now Lucy’s mother’s age is 48 years. Hence, Lucy’s age will be 24 years. But, our question cannot be answered as age of Kate is not known.

∴ Statement I alone is not sufficient to answer the question.

From statement II:

Kate is younger sister of Lucy and is one third the current age of her mother.

With this, ages of Kate and Lucy cannot be found, and hence question cannot be answered.

∴ Statement II alone is not sufficient to answer the question.

From statements I and II together:

Lucy is half of the age of her mother who was 43 years old 5 years back.

So, now Lucy’s mother’s age is 48 years. Hence, Lucy’s age will be 24 years.

Kate is younger sister of Lucy and is one third the current age of her mother.

So, Kate’s age = 48/3 = 16 years

Now, the question can be answered as ages of Kate and Lucy are known.

∴ Using both the statements together, we can answer the given question.

Solution

Practice More Questions on Our App!

Related Topics