Embibe Experts Solutions for Chapter: Quantitative Aptitude Practice Book, Exercise 9: Exercise 9

Direction: The question given below has a problem and two statements numbered I and II giving certain information. You have to decide if the information given in the statements is sufficient for answering the problem. Indicate your answer as:

Why is it that most of the eminent music maestros are Muslims?
I. Religions other than Islam do not encourage fine arts.
II. Muslims did not go in for western type of education.

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.

What is the two-digit number?
(I) The number is divisible by 12 and the difference between its digits is 5.
(II) The sum of its digits is more than 7.

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 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 of the questions below consists of a question, followed by two statements numbered $\mathrm{I}$ and $\mathrm{II}$. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give the answer
$1.$ If the data in Statement $\mathrm{I}$, alone is sufficient to answer the question, while the data in Statement $\mathrm{II}$, alone is not sufficient to answer the question.
$2.$ If the data in Statement $\mathrm{II}$, alone is sufficient to answer the question, while the data in Statement $\mathrm{I}$, alone is not sufficient to answer the question.
$3.$ If the data given in Statement $\mathrm{I}$, alone or in Statement $\mathrm{II}$, alone is sufficient to answer the question.
$4.$ If the data given in both the Statements $\mathrm{I}$ and $\mathrm{II}$, together is not sufficient to answer the question.
$5.$ If the data in both the Statements $\mathrm{I}$ and $\mathrm{II}$, together is necessary to answer the question.

Who among A, B, C, D and E finished last in a test$?$
$\mathrm{I}$. C got more marks than B and D but less marks than A and E.
$\mathrm{II}$. B got more marks than D.

Each question below is followed by two statements I and 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—
1) If the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.
2) If the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.
3) If both statements I and II together are needed to answer the question.
4) If either the statement I alone or the statement II alone is sufficient to answer the question.
5) If you cannot get the answer from the statements I and II together, but need even more data.

How many letters can 12 typists type in one day?
I. A working day consists of 8 hours?
II. 5 typists can type 200 letters in 2 days.

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.

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 $6 \sec$.