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 $\mathrm{VI}?$

Study the information carefully to answer the question that follows:

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?

Study the following information carefully and answer the questions given below it.

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?

Read the following table carefully and answer the questions given below.

There are total $800$, passengers travelling from New Delhi Junction. The ratio of female and male passengers is $1:3$, respectively. $25\%$, of the total passengers are travelling in Shatabdi. $110$, passengers are travelling in Punjab mail. $10\%$, of total passengers are travelling in Lucknow mail. The number of passengers travelling in Rajdhani is twice that in Punjab mail. Remaining passengers are travelling in Duranto. $30\%$, of the passengers travelling in Shatabdi are females. One-half of the female passengers travelling in Shatabdi is equal to the number of passengers travelling in Punjab mail. $10\%$, of passengers travelling in Rajdhani is equal to the number of female passengers travelling in Lucknow mail. The number of female passengers travelling in Rajdhani and Duranto is equal.

What is the respective ratio of number of female passengers in Rajdhani and that of male passengers in Punjab mail?

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 ?

Study the following information carefully and answer the question that follows.
In a school of $3000$ students the ratio of girls to boys is $7:8$ respectively. All the students study three different subjects Hindi, English and Sanskrit.$30\%$ of the boy's study only English, $\frac{2}{7}$ of the girls study only English and Hindi. $\frac{1}{8}$ of the boy's study only English and Sanskrit. The number of girls studying only English is $85\%$ of the boys studying the same. $\frac{2}{5}$ of the boys study only Hindi and Sanskrit.$40\%$ of the girl's study only Hindi. The remaining girls study only Hindi and Sanskrit. The number of boys studying only English and Hindi is $10\%$ of the girls studying the same. The remaining boys study only Hindi.

The number of boys studying only Hindi is approximately what per cent of the number of girls studying only Hindi?

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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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In a medical college there are $1600$ students studying Dentistry and Homeopathy. Each student from each course knows one or more languages out of English, Hindi and Bangla. $45\%$ of the students study Dentistry and remaining students study Homeopathy. Out of the students studying Dentistry, boys and girls are in the ratio of $5:3$ respectively.

Out of the boys studying Dentistry, $16\%$ know English, $10\%$ know only Hindi and 4% know only Bangla. $24\%$ know English as well as Hindi. $20\%$ know English as well as Bangla. $14\%$ know Hindi as well as Bangla. Remaining boys know all three languages. Out of the girls studying Dentistry,$20\%$ know only English, $10\%$ know only Hindi and 10% know only Bangla . $20\%$ know English as well as Hindi. $20\%$ know English as well as Bangla. $10\%$ know Hindi as well as Bangla . Remaining girls know-all three languages. Out of the students studying Homeopathy boys and girls are in the ratio of $4:7$ respectively. Out of the boys studying Homeopathy, $20\%$ know only English, $15\%$ know only Hindi and $5\%$ know only Bangla. $15\%$ know English as well as Hindi. $25\%$ know English as well as Bangla. $10\%$ know Hindi as well as Bangla. Remaining boys know all three languages.

Out of the girls studying Homeopathy, $15\%$ know only English, $15\%$ know only Hindi and $5\%$ know only Bangla. $20\%$ know English as well as Hindi. $20\%$ know English as well as Bangla. $15\%$ know Hindi as well as Bangla. Remaining girls know all three languages.

Total how many students in the college know all three languages?

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?

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 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?

Read the following information carefully and answer the question.

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?

Study the following information carefully to answer the question given below it.

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?

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

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?

Study the following paragraph and answer the following question.

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?

Study the information carefully to answer the question that follows.

On the occasion of an opening ceremony of sports events, in a stadium, there are a total of $600$ players who are participating in four different events' viz. Athletics, Table tennis, Kho-Kho, and Lawn Tennis. The ratio between male to female players is $11:4$ respectively. $30\%$of the female players out of total female players are participating in athletics, $10\%$ of female players out of total female players are participating in table tennis and the remaining female players are participating in kho-kho and lawn tennis in the ratio of $1:3$ respectively. The ratio of male players who are participating in athletics and other events together is$3:5$ respectively. $4\%$ of those male players who are not participating in athletics are participating in lawn tennis and the remaining male players are participating in table tennis and kho-kho in the ratio of $5:3$ respectively.

What is the ratio between the male players participating in lawn tennis and female players participating in table tennis respectively?

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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?

Study the following information and answer the questions that follow:

The premises of a bank are to be renovated. The renovation is in terms of flooring, certain areas are to be floored either with marble or wood. All rooms/halls and pantries are rectangular.The area to be renovated comprises a hall for customer transaction 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 $13 \mathrm{m}$, record keeping cum server room measuring $21 \mathrm{m}$ by $13 \mathrm{m}$, and 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 $₹170 \mathrm{per} \mathrm{square} \mathrm{meter}$, and the cost of marble flooring is $₹190 \mathrm{per} \mathrm{square} \mathrm{meter}$. 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 floored with wood. No other area is to be renovated in terms of flooring.

Study the following information carefully and answer the questions given below:

Out of the $15,000$ candidates eligible for an Officer's Post in a Public Sector Bank, $450$ candidates have prior experience of working in Public Sector Banks in rural areas only. $\mathrm{25\%}$ of the total number of candidates have prior experience of working in Public Sector Banks in urban areas only. $\mathrm{12\%}$ of the total number of candidates have prior experience of working in Private Sector Banks in urban areas only. $\mathrm{2\%}$ of the total number of candidates have prior experience of working in Private Sector Banks in rural areas only. $3600$ candidates have worked in Public Sector Banks in both urban and rural areas. $\mathrm{15\%}$ 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.

How many total candidates have prior experience of working in Public Sector Banks (Urban and Rural areas together)?

Study the information carefully to answer the question that follows:

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 difference between male players participating in badminton and female players participating in lawn tennis?

Study the following information carefully to answer the question given below it.

A survey conducted on $1800$ villages shows that $25\%$ of the total villages have only adequate water supply. $15\%$ of the total number have proper supply of electricity only. $7\%$ of the total number of villages have only proper education facilities. $12\%$ of the total number of villages have telecommunication services only. $16\%$ of the total number pf villages have proper health care services only. $6\%$ of the total number of villages have adequate water as well as supply of electricity. $8\%$ of the total number of villages have adequate supply of water, electricity as well as healthcare services. $5\%$ of the total number of villages have proper supply of electricity, telecommunication services as well as health care services and $6\%$ of the total number of villages have all the facilities.

How many villages in all have proper supply of electricity?