Read the following information carefully and answer the question given below-

280 students of a class appeared in an exam. The ratio of number of boys to the number of girls in the class is 5 : 3.Thirty two percent of boys passed only in Maths and half of this number is equal to the number of girls who passed in both Maths and Physics. The number of boys who passed only in Physics is equal to the number of girls who passed only in Maths and this number is 15% of the total number of students in the class.

What is the number of girls passed in Physics ?

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?

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?

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.

$ABC$ 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?

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?

$ABC$ 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?

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.

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: 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?

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?

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?

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: 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?

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?

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?

These questions are based on following information. Read it carefully and give answer-
In a group of $60$ boys, all boys play at least one of three games. These games are Hockey, Football and Volleyball. One-third of boys play only Hockey. $25\%$ play only Football and $20\%$ play only Volleyball. $5$ boys play both Hockey and Volleyball, $4$ boys both Hockey and Football, $2$ boys play both Football and Volleyball, $2$ boys all the three games.

How many boys do not play Volleyball?