Read the following information carefully and answer the given questions:

Total distance between A to B is $240 \mathrm{km}$. Train P starts running with an average speed of $\left(S\right) \mathrm{kmph}$ from A to B while another train Q starts running after $2 \mathrm{hours}$ of train A and reaches B $60 \mathrm{minutes}$ before train P. If train A stops for $60 \mathrm{minutes}$ at a line crossing and second train did not stop at any place, then the ratio between the speed of train P to speed of train Q is $4 : 5$.

Prem distributed$₹14000$ between his two daughters Anu and Bharathi and both of them invested at the rate of $(S-6)\%$ SI per annum. The age of Bharathi and Anu at that time was $18 \mathrm{years}$ and $\left(S\right) \mathrm{years}$ respectively and such that each daughter may get equal amounts, when they attain the age of $21 \mathrm{years}$. Initial amount the Anu has is $\left(T\right)$.

The price of article increased by $\left(S\right)\%$ every year. If the difference between the price at the end of the third year and fourth years is $\left(U\right)$ and the price at the end of second year is $₹23200$.

Prem sells his car, if profit on selling a car for $\left(T\right)$is thrice the loss on selling it for $₹4500$. The Cost price of Prem car is$\left(V\right)$

Find the value in the place of $\left(U\right)$:.

Direction: In a University there are $1200$ students studying four different subjects, Mathematics, Statistics, Physics, and Chemistry. $20\%$ of the total number of students are studying Mathematics, one-fourth of the total number of students are studying Physics, $320$ students are studying Statistics and remaining students are studying Chemistry. Three-fifth of the total number of students studying Chemistry is girls. $150$ boys are studying Mathematics.$60\%$ of students studying Physics are boys.$250$girls are studying Statistics.

What is the difference between the number of boys studying Mathematics and the number of girls studying Physics?

Consider the following for the question that follows:

$500$ candidates appeared in an examination comprising tests in English, Hindi and Mathematics. $30$ candidates failed in English only; $75$ failed in Hindi only; $50$ failed in Mathematics only; $15$ failed in both English and Hindi; $17$ failed in both Hindi and Mathematics; $17$ failed in both Mathematics and English; $5$ failed in all three tests.

In a University there are $1200$ students studying four different subjects, Mathematics, Statistics, Physics, and Chemistry. $20\%$ of the total number of students are studying Mathematics, one-fourth of the total number of students are studying Physics, $320$ students are studying Statistics and remaining students are studying Chemistry. Three-fifth of the total number of students studying Chemistry is girls. $150$ boys are studying Mathematics.$60\%$ of students studying Physics are boys.$250$girls are studying Statistics.

What is the ratio of the total number of boys to the total number of girls?

Direction: In a University there are $1200$ students studying four different subjects, Mathematics, Statistics, Physics, and Chemistry. $20\%$ of the total number of students are studying Mathematics, one-fourth of the total number of students are studying Physics, $320$ students are studying Statistics and remaining students are studying Chemistry. Three-fifth of the total number of students studying Chemistry is girls. $150$ boys are studying Mathematics.$60\%$ of students studying Physics are boys.$250$girls are studying Statistics.

In which subjects is the difference between the number of boys and girls equal?

$ABC$ is a triangle with $AB=1.6 \mathrm{cm}, BC=6.3 \mathrm{cm} \text{and} CA=6.5 \mathrm{cm}$. Let $P \text{and} Q$ be the mid-points of $AB and BC$ Respectively.

What is $4\left(C{P}^2-A{Q}^2\right)$ equal to?

Direction: In a University there are $1200$ students studying four difference subjects, Mathematics, Statistics, Physics, and Chemistry. $20\%$ of the total number of students are studying Mathematics, one-fourth of the total number of students are studying Physics, $320$ students are studying Statistics and remaining students are studying Chemistry. Three-fifth of the total number of students studying Chemistry is girls. $150$ boys are studying Mathematics.$60\%$ of students studying Physics are boys.$250$girls are studying Statistics.

What is the total number of boys studying Statistics and Physics?

Consider the following for the question that follows:

$500$ candidates appeared in an examination comprising tests in English, Hindi and Mathematics. $30$ candidates failed in English only; $75$ failed in Hindi only; $50$ failed in Mathematics only; $15$ failed in both English and Hindi; $17$ failed in both Hindi and Mathematics; $17$ failed in both Mathematics and English; $5$ failed in all three tests.

Direction: Consider the following for the next 04 (four) items that follow:

In an examination of Class XII, $55\%$ of students passed in Biology, $62\%$ passed in Physics, $60\%$ passed in Chemistry, $25\%$ passed in Physics and Biology, $30\%$ passed in Physics and Chemistry, $28\%$ passed in Biology and Chemistry. Only $2\%$ failed in all the subjects.

What percentage of students passed in exactly one subject?

Direction: Consider the following for the next 04 (four) items that follow:

In an examination of Class XII, $55\%$ of students passed in Biology, $62\%$ passed in Physics, $60\%$ passed in Chemistry, $25\%$ passed in Physics and Biology, $30\%$ passed in Physics and Chemistry, $28\%$ passed in Biology and Chemistry. Only $2\%$ failed in all the subjects.

If the number of students is $360$, then how many passed in at least two subjects?

$ABC$ is a triangle with $AB=1.6 \mathrm{cm}, BC=6.3 \mathrm{cm} \text{and} CA=6.5 \mathrm{cm}$. Let $P \text{and} Q$ be the mid-points of $AB and BC$ Respectively.

What is $A{B}^2+4B{Q}^2$ equal to?

Consider the following for the question that follows:

$500$ candidates appeared in an examination comprising tests in English, Hindi and Mathematics. $30$ candidates failed in English only; $75$ failed in Hindi only; $50$ failed in Mathematics only; $15$ failed in both English and Hindi; $17$ failed in both Hindi and Mathematics; $17$ failed in both Mathematics and English; $5$ failed in all three tests.

What is the percentage of candidates who failed in at least two subjects?

In a University there are $1200$ students studying four difference subjects, Mathematics, Statistics, Physics, and Chemistry. $20\%$ of the total number of students are studying Mathematics, one-fourth of the total number of students are studying Physics, $320$ students are studying Statistics and remaining students are studying Chemistry. Three-fifth of the total number of students studying Chemistry is girls. $150$ boys are studying Mathematics.$60\%$ of students studying Physics are boys.$250$girls are studying Statistics.

The number of girls studying Statistics is what percent (approximate) of the total number of students studying Chemistry?

Consider the following for the question that follows:

$500$ candidates appeared in an examination comprising tests in English, Hindi and Mathematics. $30$ candidates failed in English only; $75$ failed in Hindi only; $50$ failed in Mathematics only; $15$ failed in both English and Hindi; $17$ failed in both Hindi and Mathematics; $17$ failed in both Mathematics and English; $5$ failed in all three tests.

Direction: Consider the following for the next 04 (four) items that follow:

In an examination of Class XII, $55\%$ of students passed in Biology, $62\%$ passed in Physics, $60\%$ passed in Chemistry, $25\%$ passed in Physics and Biology, $30\%$ passed in Physics and Chemistry, $28\%$ passed in Biology and Chemistry. Only $2\%$ failed in all the subjects.

What is the ratio of number of students who passed in both Physics and Chemistry to number of students who passed in both Biology and Physics but not Chemistry?

$ABC$ is a triangle with $AB=1.6 \mathrm{cm}, BC=6.3 \mathrm{cm} \text{and} CA=6.5 \mathrm{cm}$. Let $P \text{and} Q$ be the mid-points of $AB and BC$ Respectively.

What is $A{Q}^2+C{P}^2$ equal to?

Direction: Consider the following for the next 04 (four) items that follow:

In an examination of Class XII, $55\%$ of students passed in Biology, $62\%$ passed in Physics, $60\%$ passed in Chemistry, $25\%$ passed in Physics and Biology, $30\%$ passed in Physics and Chemistry, $28\%$ passed in Biology and Chemistry. Only $2\%$ failed in all the subjects.

What percentage of students passed in all three subjects?