In a survey, students at a school were asked two questions. If 75% of the students answered the 1st question correctly, 55% answered the 2nd question correctly and 20% answered neither of the questions correctly, what percent of students answered both the questions correctly?

# GRE

## In the Computer Science department of an engineering college, each student is given a registration n….

In the Computer Science department of an engineering college, each student is given a registration number from 1 to 120. The students with even registration number opt for C++. The students whose registration number was a multiple of 5 opt for Java, and those whose registration number is a...

## Every student of a certain school must take one and only one elective course. Last year, 1/2 of the ….

Every student of a certain school must take one and only one elective course. Last year, 1/2 of the students took biology as an elective subject, 1/3 of the students took chemistry, and the rest took physics. This year, 1/3 of the students who took biology and 1/4 of...

## In a survey at Massachusetts Institute of Technology, 80 students were asked whether they used lapto….

In a survey at Massachusetts Institute of Technology, 80 students were asked whether they used laptop or desktop or both. Of these, 50 students said they used desktop and 70 said they used laptop. What could be the respective minimum and maximum numbers of students who used both desktop...

## In a survey, 500 people were asked two questions. They were simply to answer ‘yes’ or ‘no’. Of these….

In a survey, 500 people were asked two questions. They were simply to answer ‘yes’ or ‘no’. Of these, 410 people said yes to the first question and 220 people said yes to the second. What is the least number that said yes to both?

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## An air conditioner company conducted a survey of 1200 customers to check the service given by the co….

An air conditioner company conducted a survey of 1200 customers to check the service given by the company for repair of old air conditioners. The survey asked about 3 characteristics of the service: whether the service was fast, cheap or stable. In all, 48% customers said the service was...

## Out of 390 members of a locality, 260 play hockey and 300 play cricket. There are at least 60 member….

Out of 390 members of a locality, 260 play hockey and 300 play cricket. There are at least 60 members who play neither cricket nor hockey. What is the possible range for the number of members who play both hockey and cricket?

## Each of 435 bags contains at least one of the following three items: raisins, almonds, and peanuts; ….

Each of 435 bags contains at least one of the following three items: raisins, almonds, and peanuts; 210 bags contain almonds. The number of bags that contain only raisins is 10 times the number of bags that contain only peanuts. The number of bags that contain only almonds is...

## In a survey of 100 people about their movie-going habits, it was found that 55 people had seen movie….

In a survey of 100 people about their movie-going habits, it was found that 55 people had seen movie X, 45 people had seen movie Y, 50 people had seen movie Z, 10 people had not seen any of the movies and 20 people had seen all the three...

## 20% employees of a company prefer to work in the morning shift, but 60% of them can't work on c….

20% employees of a company prefer to work in the morning shift, but 60% of them can't work on computers, while 40% of those who prefer to work in the night shift can work on computers. What % of total employees of the company can work on computers?

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