Four Statements Based Data Sufficiency

Read the following proposition and statements carefully and answer the questions which follow.
The provisional Census 2011 figures suggest that two contrasting demographic nations are emerging in the country with all four south Indian States  Andhra Pradesh, Karnataka, Kerala and Tamil Nadu, already having achieved the replacement level fertility of 2.1 children per women required to initiate the process of population stabilization, while the four large north Indian States: Bihar, Madhya Pradesh, Rajasthan and Uttar Pradesh, have still a long way to go before they achieve the required level.

($1$) This emerging a demographic divide could pose problems for socio-economic developments as well as unity of the country.

($2$) Replacement level fertility is the number of children a woman should have to replace herself and her mate for a stable population.

($3$) India has been in the middle of the demographic transition over the past several decades where the death rate has fallen sharply because of improved public health as well as sanitation.

($4$) The birth rate has remained high in the four large north Indian States of Bihar, Madhya Pradesh, Rajasthan and Uttar Pradesh. Due to slow progress towards socio-economic development as well as limited access to quality reproductive health and contraceptive services.

($5$) The use of ante-natal and post-natal as well as family planning services in the four large southern states is satisfactory which leads to slower population growth.

Which of the statements numbered A, B, C, D and E can be assumed/inferred from the facts/information given in the statements? (An assumption is something supposed or taken for granted and an inference is something which is not directly stated but can be inferred from the given facts.)

Aliya’s age is $50\%$ more than Bharvathy and the present age of Dilaka is four times the present age of Leela. The average age of all of them is $38 \mathrm{years}$ and $9 \mathrm{months}$. What is the average age of Bharvathy and Dilaka?

Which of the following option is sufficient alone to find the answer?

$a)$ Difference between the ages of Aliya and Dilaka is $12 \mathrm{years}$.

$b)$ Present age of Bharvathy is $17 \mathrm{years}$ more than the present age of Leela.

$c)$ Difference of the ages of Leela and Aliya is $33 \mathrm{years}$.

$d)$ Difference between the ages of Bharvathy and Dilaka is $28 \mathrm{years}$.

Ramya and Myna have amounts in the ratio of $2 : 1$, and they invest the money in two different simple interest schemes for time periods in the ratio of $3 : 4$. Ramya invested her amount at the rate of $x\%$ per annum and Myna invested her amount at the rate of $y\%$ per annum. Ramya received the interest amount is equal to the interest received by Myna. Find the value of $x\%$?

Which of the following option is sufficient alone to find the answer?

The price of a number of commodities are given below in the current year $1975$ and base year $1970.$

For $1975$ with base $1970$ by the Method of price relatives using Geometrical mean, the price index is:

In each of the questions below consists of a question and four statements. You have to decide whether the data provided in the statements are sufficient to answer the question.

Find the speed of the boat on the first day and the speed of the boat on the second day.

Statement $\mathrm{I}:$ The difference in the downstream distance and upstream distance covered by the boat on the first day is $750 \mathrm{km}$ and the difference in the downstream distance and the upstream distance covered by the boat on the second day is $1890 \mathrm{km}$.

Statement $\mathrm{II}:$ The average downstream distance and upstream distance covered by the boat on the first day is $1875 \mathrm{km}$ and the average downstream distance and upstream distance covered by the boat on the second day is $3915 \mathrm{km}$.

Statement $\mathrm{III}:$ The speed of the stream on the first day is $25 \mathrm{kmph}$ and the speed of the stream on the second day is $15 \mathrm{kmph}$.

Statement $\mathrm{IV}:$ The difference in the time of travel for upstream and downstream on the first day is $0 \mathrm{hours}$ and the difference in the time of travel for upstream and downstream on the second day is $18 \mathrm{hours}$.

The question is given below consists of statements numbered $\mathrm{I}, \mathrm{II}, \mathrm{III}$ and $\mathrm{IV}$ given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.

Find the ratio of $\left(A-B\right)$ to $C$.

In an examination, in order to qualify the exam student have to answer $5$ out of $10$ questions.

Statement $\mathrm{I}:$ The number of ways by which students answers at least $2$ from the first $3$ question is $A$.

Statement $\mathrm{II}:$ The number of ways by which the students answers exactly $2$ question from the first $3$ questions is $B$.

Statement $\mathrm{III}:$ The number of ways by which the student answers exactly $3$ questions from the first $3$ questions is  $A-B$.

Statement $\mathrm{IV}:$ The number of ways by which the student answers exactly $5$ questions from the first $5$ questions is $C$.

The question is given below consists of statements numbered $\mathrm{I}, \mathrm{II}, \mathrm{III}$ and $\mathrm{IV}$ given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.

Find the number of Lotus.

$\mathrm{I}:$ The total number of flowers in a bucket $175$.

$\mathrm{II}:$ The ratio of the probability of selecting a Lotus to the probability of selecting Jasmine is $1 : 2$, and the number of Jasmine in the bucket is $50\%$ of the number of Sunflower.

$\mathrm{III}:$ The ratio of the probability of selecting a Jasmine to the probability of selecting Sunflower is $1 : 2$, and the number of Sunflower in the bucket is $400\%$ of the number of Lotus.

$\mathrm{IV}:$ The ratio of the probability of selecting a Lotus to the probability of selecting Sunflower is $1 : 4$, and the number of Lotus in the bucket is $50\%$ of the number of Jasmine.

The question is given below consists of statements numbered $\mathrm{I}, \mathrm{II}, \mathrm{III}$ and $\mathrm{IV}$ given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.

Find the ratio of the number of yellow balls to the sum of blue balls and red balls.

Statement $\mathrm{I}:$ There are total $175$ balls of different colours in the bag $X$.

Statement $\mathrm{II}:$ The probability of selecting one yellow ball from the bag $X$ is $100\%$ more than the probability of selecting one blue ball from the bag $X$ and the difference in the number of yellow balls to the number of blue balls is $50$.

Statement $\mathrm{III}:$ The probability of selecting one red colour ball from the bag $X$ is $50\%$ of the probability of selecting one blue colour ball and the sum of the red ball and the number of the blue balls is $75$.

Statement $\mathrm{IV}:$ The probability of selecting one yellow colour ball from the bag $X$ is four times to the probability of selecting one red colour ball, and the sum of the red ball and the number of the yellow balls is $125$.

In the question given below consists of four statements numbered $\mathrm{I}, \mathrm{II}, \mathrm{III}$ and $\mathrm{IV}$ given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.

Find the total number of fruits in all three buckets.

$\mathrm{I}:$ The number of apples in bucket $B$ and bucket $C$ is $4$ and $3$ respectively.

$\mathrm{II}:$ The probability of selecting an apple from all the apples in all three buckets such that the selected apple is from bucket $A$ is $\frac{5}{12}$.

$\mathrm{III}:$ The number of Mangoes in buckets $B$ and $C$ are $8$ and $6$.

$\mathrm{IV}:$ The probability of selecting a mango from all fruits is $\frac{3}{5}$.

In the following question, four statements are given. Choose the correct statement which is sufficient to answer the given question.

Find the number of hours required to fill the whole tank _____.

$\mathrm{I}.$ P alone can fill $\frac{2}{3}\mathrm{rd}$ of the empty tank in $28 \mathrm{hours}$.

$\mathrm{II}.$ Q alone can fill $\frac{3}{5}\mathrm{th}$ od the same tank in $21 \mathrm{hours}$.

$\mathrm{III}.$ Pipe P and Q opened simultaneously, after every $2 \mathrm{hours}$ pipe A is opened for $1 \mathrm{hour}$.

$\mathrm{IV}.$ Pipe A can empty the full tank in $70 \mathrm{hours}$.

In the following question, four statements are given. Choose the correct statement which is sufficient to answer the given question.

The number of days taken by Ajay to finish the remaining work is _____.

$\mathrm{I}.$ The ratio of efficiency of Ajay and Senha is $6 : 5$.

$\mathrm{II}.$ The ratio of the number of days taken by Prabha to Sneha is $3 : 2$.

$\mathrm{III}.$ Ajay takes $3 \mathrm{days}$ less than Sneha, when Ajay and Sneha complete the work individually.

$\mathrm{IV}.$ Prabha and Sneha started the work and left after $3 \mathrm{days}$.

If$a$ and $b$ are positive integers, is $a\times b$ an odd number :

Statements:
$\mathrm{I} : 7 > a > 4$.
$\mathrm{II} : 9 < b < 12$.
$\mathrm{III} : a+b$ is even.
$\mathrm{IV} : a - b$ is even.

Criteria to answer the questions of data sufficiency are given below:

How is PRODUCT written in that code language?

1. In a certain code language, AIOEE is written as BJPFF.
2. In a certain code language, GYPSR is written as FXORQ.
3. In a certain code language, TYDSR is written as FXCRQ.
4. In a certain code language, CKPUR is written as BJOVQ.

Criteria to answer the questions of data sufficiency are given below:

On which floor is Seema residing?

1. In a six-storey building (Ground floor is parking space), Rekha lives on fourth floor.
2. Seema likes to reside only on even numbered floors.
3. Reema is not on the topmost floor.
4. Reema is two floors below Peter who is three floors above Seema.

Criteria to answer the questions of data sufficiency are given below:

How is ‘face’ written in that code language?

1.  In a certain code language, ‘no one with face’ is coded as ‘fo to om sop’.
2. In a certain code language, ‘no one has face’ is coded as ‘om sit fo sop’.
3. In a certain code language, ‘face of no light’ is coded as ‘om mot fo kiz’.
4. In a certain code language, ‘no one is smart’ is coded as ‘sop fo sip lik’.

Criteria to answer the questions of data sufficiency are given below:

How is Sonu related to Shiv?

1. Sonu is brother of Meena.
2. Shiv is nephew of Pooja.
3. Meena is the only sister of Pooja.
4. Meena is unmarried.

Criteria to answer the questions of data sufficiency are given below:

Who is taller among Priya, Dhruv, Rani, Shreya & Tanu?

1. Shreya is shorter than Dhruv.
2. Priya is shorter than only Tanu.
3. Dhruv is taller than only Shreya.
4. Tanu is taller than Priya and Rani.

Find the difference between the quantity of milk and water in the final mixture.

$\mathrm{I}.$ A mixture contains milk and water in the ratio $8 : 7$ respectively.

$\mathrm{II}.$ The milkman added $6 \mathrm{litres}$ if milk and $4 \mathrm{litres}$ of water to the mixture and hence the ratio becomes $7 : 6$ respectively.

$\mathrm{III}.$The milkman sold $20\%$ of the mixture and added $4 \mathrm{litres}$ of milk to the remaining mixture.

$\mathrm{IV}.$The milkman again added $2 \mathrm{litres}$ of water to the mixture.

What is the monthly salary of Varun?

$\mathrm{I}.$ Varun spends one-third of his salary on rent, one–fifth on household expenses, one – sixth on travel expenses, and deposits the remaining in the bank.

$\mathrm{II}.$His monthly deposits in the bank amount to $₹18,000$.

$\mathrm{III}.$The ratio of his salary to his wife is $6: 1$.

$\mathrm{IV}.$His wife spends one – fifth of her salary on travel expenses, and the remaining$₹ 8,000$ on her cosmetic goods.

Statement 1: N>O, O<P, P=Q, Q<N

Statement 2: N>M, N>K, K<H

Statement 3: D>N, J<K

Statement4: P=Q=M, D>J

What is the relation between O and K?