Embibe Experts Solutions for Exercise 1: Exercise 1

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 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 $\mathrm{B}$.

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 $6 \sec$.

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 $2 \mathrm{years}?$

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 $₹10$.

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.

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?
$\mathrm{I}$. $a+b+c = 17$
$\mathrm{II}$. $a-c=6$

In each of the following questions a question is asked followed by three statements, you have to study the questions and all the three statements given and decide whether any information provided in the statement(s) is/are redundant and can be dispensed with while answering the question ?

What is the monthly salary of P?
$\mathrm{I}$. P earns $₹26000$ more than Q.
$\mathrm{II}$. The ratio between Q and R's monthly salary is $5:3$
$\mathrm{III}$. R earns $₹20000$ less than Q.