Two Statements Based Data Sufficiency Questions

Each question below is followed by two statements $\mathrm{I}$ and $\mathrm{II}$. You are to determine whether the data given in the statement is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.
Give answer—
$\left(1\right)$ If the statement $\mathrm{I}$ alone is sufficient to answer the question, but the statement $\mathrm{II}$ alone is not sufficient.
$\left(2\right)$ If the statement $\mathrm{II}$ alone is sufficient to answer the question, but the statement $\mathrm{I}$ alone is not sufficient.
$\left(3\right)$ If both statements $\mathrm{I}$ and $\mathrm{II}$ together are needed to answer the question.
$\left(4\right)$ If either the statement $\mathrm{I}$ alone or the statement $\mathrm{II}$ alone is sufficient to answer the question.
$\left(5\right)$ None of these

What is the value of $2\mathrm{A}+3\mathrm{B}?$
$\mathrm{I}. \mathrm{A}+3\mathrm{B}=60$
$\mathrm{II}.$ $\mathrm{A}$ is twice of $\mathrm{B}$.

The question below consists of a question and two statements numbered I and II 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 answer

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

On a certain date, Hannah invested $\$5,000$ at $x\%$ simple annual interest and a different amount at $y\%$ simple annual interest. What amount did Hannah invest at $y\%$ simple annual interest?
l. The total amount of interest earned by Hannah's two investments in one year was $\$900$.
ll. Hannah invested the $\$5,000$ at $6\%$ simple annual interest.

Each question below is followed by two statements $\mathrm{I}$ and $\mathrm{II}$. You are to determine whether the data given in the statement is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.
Give answer-
$\left(1\right)$ If the question can be answered by using statement $\mathrm{I}$ alone but cannot be answered by statement $\mathrm{II}$ alone.
$\left(2\right)$ If the question can be answered by using statement $\mathrm{II}$ alone but cannot be answered by statement $\mathrm{I}$ alone.
$\left(3\right)$ If both statements $\mathrm{I}$ and $\mathrm{II}$ together are required to answer the question.
$\left(4\right)$ If the answer can be derived by using any of the two statements alone.
$\left(5\right)$ If both the statements together are not sufficient to answer the question.

What is the rate of simple interest?
$\mathrm{I}.$ Simple interest is $₹200$.
$\mathrm{II}.$ Duration is $2 \mathrm{years}?$

Each question below is followed by two statements $\mathrm{I}$ and $\mathrm{II}$. You have to determine whether the data given in the statement is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.
Give answer—
$1)$ If the statement $\mathrm{I}$ alone is sufficient to answer the question, but the statement $\mathrm{II}$ alone is not sufficient.
$2)$ If the statement $\mathrm{II}$ alone is sufficient to answer the question, but the statement $\mathrm{I}$ alone is not sufficient.
$3)$ If both statements $\mathrm{I}$ and $\mathrm{II}$ together are needed to answer the question.
$4)$ If either the statement $\mathrm{I}$ alone or the statement $\mathrm{II}$ alone is sufficient to answer the question.
$5)$ If you cannot get the answer from the statements $\mathrm{I}$ and $\mathrm{II}$ together, but need even more data.

Two trains are moving on parallel tracks in opposite direction. In how many seconds will the trains cross each other completely?
$\mathrm{I}.$ Ratio of their speeds is $3:4$.
$\mathrm{II}.$ First train crosses a pole in $5 \sec$ and second train crosses the pole in $6 \sec$.

The question given below contains two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question?

Among three integers $a$, $b$ and $c$ which is the greatest?
$\mathrm{I}$. $a+b+c = 17$
$\mathrm{II}$. $a-c=6$

The questions given below contain two statements giving certain data: You have to decide whether the data given in the statements are sufficient for answering the question?

What was the total compound interest on a sum after three years?

$\mathrm{I}$. The interest after one year would be $₹100$ and the sum was $₹1000$.
$\mathrm{II}$. The difference between simple and compound interest on a sum of $₹1000$ at the end of two years was $₹10$.

Each question below is followed by two statements $\mathrm{I}$ and $\mathrm{II}$. You are to determine whether the data given in the statement is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.
Give answer-
$\left(1\right)$ If the question can be answered by using statement $\mathrm{I}$ alone but cannot be answered by statement $\mathrm{II}$ alone.
$\left(2\right)$ If the question can be answered by using statement $\mathrm{II}$ alone but cannot be answered by statement $\mathrm{I}$ alone.
$\left(3\right)$ If both statements $\mathrm{I}$ and $\mathrm{II}$ together are required to answer the question.
$\left(4\right)$ If the answer can be derived by using any of the two statements alone.
$\left(5\right)$ If both the statements together are not sufficient to answer the question.

A man sells TV sets at profit of $20\%$. How much total amount he gains in profit?
$\mathrm{I}.$ He sells $20$ TV set.
$\mathrm{II}.$ He sells each TV set at $₹12000$.

Each question below is followed by two statements $\mathrm{I}$ and $\mathrm{II}$. You have to determine whether the data given in the statement is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.
Give answer—
$1)$ If the statement $\mathrm{I}$ alone is sufficient to answer the question, but the statement $\mathrm{II}$ alone is not sufficient.
$2)$ If the statement $\mathrm{II}$ alone is sufficient to answer the question, but the statement $\mathrm{I}$ alone is not sufficient.
$3)$ If both statements $\mathrm{I}$ and $\mathrm{II}$ together are needed to answer the question.
$4)$ If either the statement $\mathrm{I}$ alone or the statement $\mathrm{II}$ alone is sufficient to answer the question.
$5)$ If you cannot get the answer from the statements $\mathrm{I}$ and $\mathrm{II}$ together, but need even more data.

If $x$ and $y$ are integers, is $x+y$ an even number?
$$\begin{gathered} \mathrm{I}. 5 < x < 10 \\ \mathrm{II}. 6 < y < 9 \end{gathered}$$

 In the following question, two statements numbered I and II 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 an answer.

(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 are 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 is sufficient to answer the question.
(D) If the data in both the statement I and II together are not sufficient to answer the question.
(E) If the data in both the statements I and II together are necessary to answer the question.

What is the rate of interest per cent compounded per annum?
I. Difference between compound interest and simple interest on an amount of ₹ $10,000$ for $2 \mathrm{years}$ is ₹ $225$.
II. The amount doubles itself on simple interest in $\frac{20}{3} \mathrm{years}$.

The question below consists of a question and two statements numbered I and II 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 answer.

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

What is the salary of A, in a group of A, B, C, D and E whose average salary is $₹65780$?

I. Total of the salaries of B and C is $₹88545$.

II. Total of the salaries of D and E is $₹59020.$

The question below consists of a question and two statements numbered I and II 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 answer.

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

In Mr. Smith's class, what is the ratio of the number of boys to the number of girls?
l. There are three times as many girls as boys in Mr. Smith's class.
ll. The number of boys is ${\frac{1}{4}}^{\mathrm{th}}$ of the total number of boys and girls in Mr. Smith's class.

The questions given below, contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient to answer the questions.

What is the numerical value of $e$?
$\mathrm{I}$. $h+g=115$
$\mathrm{II}$. $i-f=75$

The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question.

What is the average age of the children in a class?
$\mathrm{I}.$ The age of the teachers is as many years as the number of children.
$\mathrm{II}.$ The average age increases by $1$ year, if teacher's age is included.

The question below consists of a question and two statements numbered I and II 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 answer.

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

If $90$ students auditioned for the school musical, how many were accepted?
l. $\frac{2}{3}$ of the boys and $\frac{1}{3}$ of the girls who auditioned were accepted.
ll. $26$of the boys who auditioned were accepted.

Each question below is followed by two statements $\mathrm{I}$ and $\mathrm{II}$. You are to determine whether the data given in the statement is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.
 
What is the area of a circle?
$\mathrm{I}.$ Radius of circle is $35 \mathrm{cm}$.
$\mathrm{II}.$ Circumference of circle is $220 \mathrm{cm}$.

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question. 

What is the rate percent of SI per annum?
$\mathrm{I}.$ The amount with the interest rate doubles in $10$ years.
$\mathrm{II}.$ The interest earned in the first year was $₹8000$.

Each question below is followed by two statements $\mathrm{I} \& \mathrm{II}$. You are to determine whether the data given in the statement is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose between the possible answers. Give answer-
$\left(1\right)$ If the question can be answered by using statement $\mathrm{I}$ alone but cannot be answered by statement $\mathrm{II}$ alone.
$\left(2\right)$ If the question can be answered by using statement $\mathrm{II}$ alone but cannot be answered by statement $\mathrm{I}$ alone.
$\left(3\right)$ If both statements $\mathrm{I} \& \mathrm{II}$together are required to answer the question.
$\left(4\right)$ If the answer can be found by using any of the two statements alone.
$\left(5\right)$ If both the statements together is not sufficient to answer the question.

What is the age of $\mathrm{A}\hspace{0.17em}\& \mathrm{B}?$
$\mathrm{I}.$ Age of $\mathrm{A}$ is $80\%$ of the age of $\mathrm{C}$.
$\mathrm{II}.$ Age of $\mathrm{B}$ is $60\%$ of the age of $\mathrm{C}$.

The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question.

What is the ratio of investment of $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}?$
$\mathrm{I}.$  The total investment is $₹12000$ in which $\mathrm{A}\text{'}\mathrm{s}$ contribution is $₹6000$.
$\mathrm{II}.$ The ratio of investment of $\mathrm{A}$ and $\mathrm{B}$ is $3:2$ and that of $\mathrm{B}$ and $\mathrm{C}$ is $2:1$.

Directions : Each question given below has a problem and two statements numbered $\mathrm{I} \& \mathrm{II}$ giving certain information. You have to decide if the information given in the statements it sufficient for answering the problem. Indicate your answer as
$\left(\mathrm{a}\right)$ if the data in statement $\mathrm{I}$ alone are sufficient to answer the question
$\left(\mathrm{b}\right)$ if the data in statement $\mathrm{II}$ alone are sufficient to answer the question
$\left(\mathrm{c}\right)$ if the data either in $\mathrm{I}$ or $\mathrm{II}$ alone are sufficient to answer the question
$\left(\mathrm{d}\right)$ if the data even in both the statements together are not sufficient to answer the question and
$\left(\mathrm{e}\right)$ if the data in both the statements $\mathrm{I} \& \mathrm{II}$ are needed to answer the question.

Is $\mathrm{X}$ an even number?
$\mathrm{I}.$ $x-y$ is an odd number.
$\mathrm{II}.$$\left(x-z+3y\right)$ is an odd number.

 In the following question, two statements numbered I and II 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 an answer.

(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 are 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 is sufficient to answer the question.
(D) If the data in both the statement I and II together are not sufficient to answer the question.
(E) If the data in both the statements I and II together are necessary to answer the question.

What percentage rate of simple interest per annum did Ashok pay to Sudhir?
I. Ashok borrowed ₹ $8000$ from Sudhir for $4 \mathrm{years}$.
II. Ashok returned  ₹ $8800$ to Sudhir at the end of $2 \mathrm{years}$ and settled the loan.