Each item is given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the given question.

In how many years will a sum of money triple itself at $SI$?

    I. The interest earned in $4$ years is half the sum.

    II. The rate of interest is $12\frac{1}{2}\%$.

    III. The sum doubles itself in $8$ years at $SI$.

Select the correct answer using the codes given below:

Read the following instructions carefully and mark the answer based on the given instructions.

Select choice $\left(a\right)$ as an answer if the question can be answered by using only one of the statements alone.

Select choice $\left(b\right)$ as an answer if the question can be answered by both the statements individually.

Select choice $\left(c\right)$ as an answer if the question can be answered by using both the statements together, but cannot be answered using either statement alone.

Select choice $\left(d\right)$ as an answer if the question cannot be answered even by using both the statements together.

What is the two-digit number whose first digit is '$a$' and the second digit is '$b$'?

  I. The number is multiple of$51.$

  II. The sum of the digits $a$ and $b$ is $6.$

Read the following instructions carefully and mark the answer based on the given instructions.

Select choice (a) as an answer if the question can be answered by using only one of the statements alone.

Select choice (b) as an answer if the question can be answered by both the statements individually.

Select choice (c) as an answer if the question can be answered by using both the statements together, but cannot be answered using either statement alone.   

Select choice (d) as an answer if the question cannot be answered even by using both the statements together.

What is the two-digit number?

  I. The sum of the digits is equal to the difference between the two digits.

  II. The difference between the two digits is $9.$

Read the following instructions carefully and mark the answer based on the given instructions.

Select choice (a) as an answer if the question can be answered by using only one of the statements alone.

Select choice (b) as an answer if the question can be answered by both the statements individually.

Select choice (c) as an answer if the question can be answered by using both the statements together, but cannot be answered using either statement alone.   

Select choice (d) as an answer if the question cannot be answered even by using both the statements together.

What is the two-digit number?

  I. The difference between the number and the number obtained by interchanging the positions of the digits is $36$.

  II. The sum of the digits of that number is $12.$

Read the following instructions carefully and mark the answer based on the given instructions.

Select choice (a) as an answer if the question can be answered by using only one of the statements alone.

Select choice (b) as an answer if the question can be answered by both the statements individually.

Select choice (c) as an answer if the question can be answered by using both the statements together, but cannot be answered using either statement alone.   

Select choice (d) as an answer if the question cannot be answered even by using both the statements together.

What is the present age of C?

  I. Three years ago, the average age of A and B was $18$ years.

  II. The present average age of A, B and C is $21$ years.

Read the following instructions carefully and mark the answer based on the given instructions.

Select choice (a) as an answer if the question can be answered by using only one of the statements alone.

Select choice (b) as an answer if the question can be answered by both the statements individually.

Select choice (c) as an answer if the question can be answered by using both the statements together, but cannot be answered using either statement alone.   

Select choice (d) as an answer if the question cannot be answered even by using both the statements together.

The sum of ages of P, Q and R are $96$ years. What is the age of Q?

  I. P is $6$ years older than R.

  II. The sum of the ages of Q and R is $56$ years.

Read the following instructions carefully and mark the answer based on the given instructions.

Select choice (a) as an answer if the question can be answered by using only one of the statements alone.

Select choice (b) as an answer if the question can be answered by both the statements individually.

Select choice (c) as an answer if the question can be answered by using both the statements together, but cannot be answered using either statement alone.   

Select choice (d) as an answer if the question cannot be answered even by using both the statements together.

How old will C be after $10$ years?

  I. Five years ago, the average age of A and B was $15$ years.

  II. The average age of A, B and C today is $20$ years.

Read the following instructions carefully and mark the answer based on the given instructions.

Select choice (a) as an answer if the question can be answered by using only one of the statements alone.

Select choice (b) as an answer if the question can be answered by both the statements individually.

Select choice (c) as an answer if the question can be answered by using both the statements together, but cannot be answered using either statement alone.   

Select choice (d) as an answer if the question cannot be answered even by using both the statements together.

What is the C.P. of the article?
$\mathrm{I}.$ The profit earned on the article is one-third of the C.P.
$\mathrm{II}.$ The article is sold for $₹400$.

Read the following instructions carefully and mark the answer based on the given instructions.

Select choice (a) as an answer if the question can be answered by using only one of the statements alone.

Select choice (b) as an answer if the question can be answered by both the statements individually.

Select choice (c) as an answer if the question can be answered by using both the statements together, but cannot be answered using either statement alone.   

Select choice (d) as an answer if the question cannot be answered even by using both the statements together.

A man mixes two types of coffees $(\mathrm{X} \mathrm{and} \mathrm{Y})$ and sells the mixture at the rate of Rs.$17$ per kg. Find the profit made by the man.

  I. The rate of $\mathrm{X}$ is Rs.$20$ per kg.

  II. The rate of $\mathrm{Y}$ is Rs.$13$ per kg.