Caselets

Read the given information carefully to answer these questions:

There are $24$ boys and $10$ girls in Class $\mathrm{V}$ . They are taught by $6$ teachers. There are $12$ boys and $20$ girls in Glass $\mathrm{VI}$. They are taught by $5$ teachers. No teacher is common in the two classes. A team of two boys, one girl and one teacher is selected for a camp. In how many ways can the team be selected so that all the members are from Class $\mathrm{VI}?$

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On the occasion of an opening ceremony of sports events in a stadium, there are totals of $1200$ players who are participating in four different events' viz. Gymnastics, Table Tennis, Badminton and Lawn Tennis. The ratio of male to female players is $11:4$. $30\%$ of the total female players are participating in gymnastics, $10\%$ of the total female players are participating in table tennis and the remaining female players are participating in badminton and lawn tennis in the ratio $1:3$. The ratio of male players who are participating in gymnastics and other events together is $3:5$. $4\%$ of those male players who are not participating in gymnastics are participating in lawn tennis and the remaining male players are participating in table tennis and badminton in the ratio $5:3$.

What is the total number of players (both males and females together) participating in table tennis and gymnastics?

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Out of the $15,000$candidates eligible for an Officer TMs Post in a Public Sector Bank, $450$ candidates have prior experience of working in Public Sector Banks in rural areas only. $25\%$of the total number of candidates have prior experience of working in Public Sector Banks in urban areas only. $12\%$ of the total number of candidates have prior experience of working in Private Sector Banks in urban areas only. $2\%$ of the total number of candidates have prior experience of working in Private Sector Banks in rural areas only.$3,600$ candidates have worked in Public Sector Banks in both urban and rural areas. $15\%$of the total number of candidates who have worked in both Public and Private Sector Banks in urban areas only. $600$candidates have worked in both Public and Private Sector Banks in rural areas only. The remaining candidates have no prior experience of working in the Banking industry.

What is the respective ratio of the candidates who have a prior experience of working in Public Sector banks in rural areas only to the candidates who have a prior experience of working in Private Sector banks in rural areas only?

The question is based on the following information. Study it carefully and answer the question—

In a group of $60$ boys, all the boys play at least one game out of Hockey, Football and Volleyball. $\frac{1}{3}$ of the boys play only Hockey, $25\%$ play only Football and $20\%$ play only Volleyball. $5$ boys play both Hockey and Volleyball, $4$ boys play both Hockey and Football, $2$ boys play both Football and Volleyball, $2$ boys play all the three games

How many boys play either Football or Hockey or both ?

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In an annual function, $504$ children participated. The ratio of number of girls to the number of boys is $5:3$ respectively. Out of the total girls, $20\%$ participated in dance and remaining girls participated in solo song, group song and drama in the ratio of $2:3:4$ respectively. $\frac{2}{3}$ of the total boys participated in group song and remaining boys participated in solo song and dance in the ratio of $4:5$ respectively.

What is the approximate percentage of the boys who have participated in dance out of the total number of boys?

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A school consisting of a total of $1560$ students has boys and girls in the ratio of $7:5$ respectively. All the students are enrolled in different types of hobby classes, viz., Singing, Dancing, and Painting. One-fifth of the boys are enrolled in only Dancing classes. Twenty per cent of the girls are enrolled in only Painting classes. Ten per cent of the boys are enrolled in only Singing classes. Twenty-four per cent of the girls are enrolled in both Singing and Dancing classes together. The number of girls enrolled in only Singing classes is two hundred per cent of the boys enrolled in the same. One-thirteenth of the boys are enrolled in all three classes together. The respective ratio of boys enrolled in Dancing and Painting classes together to the girls enrolled in the same is $2:1$ respectively. Ten per cent of the girls are enrolled in only Dancing classes whereas eight per cent of the girls are enrolled in both Dancing and Painting classes together. The remaining girls are enrolled in all three classes together. The number of boys enrolled in Singing and Dancing classes together is fifty per cent of the number of girls enrolled in the same. The remaining boys are enrolled in only Painting classes.

What is the total number of students enrolled in all the three classes together?

Study the following information and answer the question that follow:
The premises of a bank are to be renovated. The renovation is in terms of flooring. The areas are to be floored either with marble or wood. All rooms/halls and pantry are rectangular. The area to be renovated includes a hall for customer transactions measuring $23 \mathrm{m}$ by $29 \mathrm{m}$, branch manager's room measuring $13 \mathrm{m}$ by $17 \mathrm{m}$, a pantry measuring $14 \mathrm{m}$ by $13 \mathrm{m}$, a record keeping cum server room measuring $21 \mathrm{m}$ by $13 \mathrm{m}$ and a locker area measuring $29 \mathrm{m}$ by $21 \mathrm{m}$. The total area of the bank is $2000 {\mathrm{m}}^2$ . The cost of wooden flooring is$₹170 \mathrm{per} \mathrm{square} \mathrm{m}$ and the cost of marble flooring is $₹190 \mathrm{per} \mathrm{square} \mathrm{m}$. The locker area, record keeping cum server room and pantry are to be floored with marble. The branch manager's room and the hall for customer transactions are to be floored with wood. No other area is to be renovated in terms of flooring.

What is the percentage area of the bank that is not to be renovated?

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On a ship, there are $1200$ passengers.$18\%$ of the total number of passengers are from Britain. Two-fifths of the total number of passengers are from South Africa. $6\%$ of the total number of passengers are from Madagascar. The remaining number of passengers are from India. $25\%$ of the number of passengers from Britain are females. Half the number of passengers from South Africa are males. There is no female passenger from Madagascar. Two-thirds of the number of passengers from India are females.

What is the ratio of the number of passengers from Madagascar, the number of female passengers from South Africa and the total number of passengers from India?

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The officer's colony of Badaun has $2850$ members, Out of which $650$ members read only English newspaper. $550$ members read only Hindi newspaper and $450$ members read only Marathi newspaper. The number of member reading all the three newspaper are $200$. $400$ members read Hindi as well as Marathi newspaper and $300$ members read English as well as Marathi newspaper and $300$ members read English as well as Hindi newspaper.

Find the number of members reading Hindi newspaper:

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A school consisting of a total of $1560$ students has boys and girls in the ratio of $7:5$ respectively. All the students are enrolled in different types of hobby classes, viz., Singing, Dancing, and Painting. One-fifth of the boys are enrolled in only Dancing classes. Twenty percent of the girls are enrolled in only Painting classes. Ten percent of the boys are enrolled in only Singing classes. Twenty-four percent of the girls are enrolled in both Singing and Dancing classes together. The number of girls enrolled in only Singing classes is two hundred percent of the boys enrolled in the same. One-thirteenth of the boys is enrolled in all three classes together. The respective ratio of boys enrolled in Dancing and Painting classes together to the girls enrolled in the same is $2:1$ respectively. Ten percent of the girls are enrolled in only Dancing classes whereas eight percent of the girls are enrolled in both Dancing and Painting classes together. The remaining girls are enrolled in all three classes together. The number of boys enrolled in Singing and Dancing classes together is fifty percent of the number of girls enrolled in the same. The remaining boys are enrolled in only Painting classes.

What is the respective ratio of the number of girls enrolled in only Painting classes to the number of boys enrolled in the same?

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An Organization consists of $2400$ employees working in different departments, viz, HR, Marketing, IT, Production and Accounts. The ratio of male to female employees in the Organization is $5:3$ respectively. $12\%$ of the males work in the HR department. $24\%$ of the females work in the Accounts department. The ratio of males to females working in the HR department is $6:11$ respectively. $\frac{1}{9}$ of the females work in the IT department. $42\%$ of the males work in the Production department. Number of females working in the Production department is $10\%$ of the males working in the same. The remaining females work in the Marketing department. The total number of employees working in the IT department is $285$. $22\%$ of the males work in the Marketing department and the remaining work in the Accounts department.

What is the total number of females working in the HR and Marketing department together ?

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There are $24$  boys and $10$ girls in Class $\mathrm{V}$. They are taught by $6$ teachers. There are $12$ boys and $20$ girls in Class $\mathrm{VI}$. They are taught by $5$ teachers. No teacher is common in the two classes. A team of two boys, one girl and one teacher is selected for a camp.

There is only one Renuka and she is studying in Class $\mathrm{V}$. What is the probability that the Renuka is selected for the camp?

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There are $260$ staff members and $1200$ students in a class. $65\%$ of staff members are teachers and the remaining staff is administrative officers. $45\%$ of the total number of students are girls. $20\%$ of the girls can speak only Hindi. The remaining girls can speak Hindi and English both. $\frac{3}{4}$ boys can speak only Hindi. The remaining boys can speak Hindi and English both. $\frac{2}{13}$ of the teachers are males. $\frac{3}{7}$ of the number of administrative officers is females.

The total number of girls is approximately what percentage of the total number of staff members?

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The price of gold increased by $25$% from Jan $1$ to Feb $1$. On March $1$, it stood at $10$% less than Feb $1$. On March $1$, Bina came across a scheme having ${\frac{1}{8}}^{\mathrm{th}}$ gram of gold free for every gram of gold bought. Bina bought $\frac{80}{9}$ grams of gold, and got the specified quantity free. On April $1$, the price of gold stood at $33.33$% higher than March $1$ and Bina sold all the gold that she had. On May $1$, the price of gold reduced by $33.33$% and stood at Rs. $5000$ for $10$ grams.

What was Bina's profit percent after selling the gold?

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In a school of $2500$ students, all the students have enrolled for different games. viz. hockey, table tennis, badminton, football, cricket, chess and carom. The respective ratio of girls to boys in the school is $3 : 2$. $20\%$ of the boys play only cricket. $25\%$ of the girls play table tennis, badminton and carom only. $26.8\%$ of the boys play only football. The number of girls playing only cricket is $175\%$ of the boys playing the same. The respective ratio of girls playing only chess to boys playing only chess is $12 : 11$. $25.7\%$ of the boys play hockey, table tennis and carom only. One-fourth of the girls play only badminton. The remaining girls play football and hockey only. The remaining boys play only chess.

How many students play carom?

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In a group of 672 peoples the ratio of males and females are 5 : 7. In females 56 can speak Hindi and English. 50% can speak only Hindi from the whole group. The ratio between only speaking Hindi and only speaking English is 21:16. respectively. The respective ratio between males and females who speak only English is 3 : 5.

What is the difference between the number of males and number of females, who speak both Hindi and English?

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In an organization $2400$ employee worked in different departments viz HR, Marketing, IT, Production and Accounts.The ratio of male and female in the organization is $5:3$. $12\%$ of males work in HR department. $24\%$ of females work in Accounts department.The ratio of male and female in HR department is $6:11$. $\frac{1}{9}$ of females work in IT department. $42\%$ males worked in production department. The number of females in production department is $10\%$ of the number of males in the same department. Remaining females worked in marketing department . The number of employee working in IT department is $285$. Marketing department has $22\%$ of the males and remaining are in Accounts department.

The total number of employee working in Accounts department is how much percent of total number of employees working in organization ? (upto two decimal places)

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Mr Naveen Rai has recently acquired four companies namely Alpha-transistor ($AT$), Beta -transistor ($BT$), Gamma-transistor ($GT$) and Phi-transistor ($PT$). When the results of the companies for the year $2013‐14$ were placed before him, he found a few interesting things about them. The profits of $GT$ and $PT$ were the same, the sales of $GT$ were the same as those of $BT$. The profits of $AT$ were $10\%$ of its sale, whereas the profits of $BT$ were $20\%$ of its sales. While the total expenses of $GT$ were $5$ times its profits, sales of $PT$ were $3$ times its profits. The total expenses of GT were ₹. $10 \mathrm{lakh}$ and the expense of $AT$ were $10\%$ less than those of $GT$. Profit is defined as the difference between sales and total expenses.

Which company had the lowest sales?

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$280$ students of a class appeared in an exam. The ratio of the number of boys to the number of girls in the class is $5:3$. $32\%$ 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 of the class.

The number of girls who passed in only Maths is approximately what percent of the total number of girls?

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There are $2500$ persons in a group who like four parties - BJP, Congress, Aap and Janta Dal. The ratio of females and males in the group is $3:2$. $16\%$ of males like only BJP party. $23\%$ females like only Aap and Congress party. $14\%$ of the total persons like only BJP party. The number of males liking only Aap and Congress party is $120\%$ of the number of females liking only the same parties $\frac{1}{10}$ of the number of males like only Janta Dal party. The number of females liking only Aap party is $130\%$ of the number of males liking the same party. $19\%$ males like only Aap party. Remaining males like only Janta Dal, Congress and BJP parties. $32\%$ females like only Aap party. Remaining females like only Congress, BJP and Janta Dal parties.

How many females do not like Congress party?