In a ThinkMBA practice batch of \(100\) aspirants, \(80\) cleared the Quant test, \(70\) cleared the VARC test, and \(40\) cleared the DILR test. If \(10\) aspirants did not clear any of the three tests, at least how many aspirants cleared all three tests?

A pre-owned car showroom in Delhi has \(500\) cars, each of which is either a two-door car or a four-door car. There are \(165\) two-door cars in the showroom. Among the four-door cars, \(120\) have a back-up camera. Also, \(18%\) of all cars with back-up cameras have standard transmission. If \(40%\) of all cars that have both a back-up camera and standard transmission are two-door cars, how many four-door cars have both a back-up camera and standard transmission?

In a hostel, there are \(250\) students. Among them, \(120\) watch Bharat News, \(80\) watch Star Sports, and \(90\) watch India TV. Also, \(50\) students watch both Bharat News and Star Sports, \(60\) students watch both Star Sports and India TV, and \(65\) students watch both Bharat News and India TV. What is the minimum number of students who watch at least one of the given channels?

A survey was conducted in a residential society of \(144\) residents to find out how many people could swim, play badminton, and drive a car. It was found that \(89\) people could not swim, \(100\) people could not play badminton, and \(91\) people could not drive a car. If the number of people who could do at least two of these activities was \(37\) and the number of people who could do all three activities was \(6\), how many people could not do any of these activities?

A residential society in Pune has \(100\) households. Among them, \(75\) households have at least one laptop, \(80\) households have at least one smartphone, and \(55\) households have at least one tablet. If \(x\) and \(y\) are respectively the greatest and the lowest possible number of households that have all three devices, then what is the value of \(x - y\)?

Out of \(14\) students in a college activity group, some students like Badminton, Football, and Volleyball. Exactly \(3\) students like all three games. A total of \(7\) students like Volleyball, and \(5\) students like both Badminton and Football. Also, no student likes only Badminton or only Football. How many students do not like any of the three games?

In a survey among \(2000\) MBA aspirants at a coaching centre, it was found that \(48%\) preferred coffee, \(54%\) preferred tea, and \(64%\) preferred samosas. Of the total, \(28%\) preferred both coffee and tea, \(32%\) preferred both tea and samosas, and \(30%\) preferred both coffee and samosas. Only \(6%\) preferred none of these. What is the ratio of the number of aspirants who preferred only coffee to the number of aspirants who preferred only tea?

In a college music club, \(10\) students play the keyboard, \(11\) students play the guitar, and \(14\) students play the violin. Exactly \(3\) students play all three instruments, and \(20\) students play only one instrument. How many students play at least two instruments?

In a national-level sports selection camp, each athlete had to clear eligibility tests conducted by three different panels. Out of \(50\) athletes, \(40\) cleared the test conducted by the first panel, \(35\) cleared the test conducted by the second panel, and \(30\) cleared the test conducted by the third panel. If every athlete cleared the test conducted by at least one panel, which of the following represents the lowest and highest possible numbers of athletes who could have cleared all three tests?

In a Bengaluru car yard, there are \(220\) cars. All but \(20\) cars are either white, black, or have sunroofs. If \(60%\) of the cars are white, of which one-fourth have sunroofs, and \(30%\) of the cars are black, of which one-third have sunroofs, how many cars have sunroofs? No car is both black and white in colour.

In a premium car dealership in Mumbai, \(80%\) of all cars are imported, and \(40%\) of all cars are priced at Rs. \(100{,}000\) or more. If \(35%\) of all cars are both imported and priced at Rs. \(100{,}000\) or more, what percent of the cars priced under Rs. \(100{,}000\) are not imported?

In a coaching institute, the number of students learning three subjects is as follows: Mathematics \(= 40\), English \(= 50\), and Science \(= 35\). If the number of students learning exactly two subjects is maximum and no student learns all three subjects, then what is the minimum number of students learning exactly one subject?

At a university in Delhi, \(120\) students were asked to take a surprise quiz to check their awareness of History and Civics. The score distribution of the students is given below:

Score	\(>80%\)	\(30%-80%\) inclusive	\(<30%\)
History section	\(70\)	\(30\)	\(20\)
Civics section	\(44\)	\(40\)	\(36\)

If \(70\) students scored greater than \(30%\) in both sections, how many students scored less than \(30%\) in both the History and Civics sections of the quiz?

In City A, some people are left-handed, some are tall, some are both, and some are neither. In City B, the number of left-handed people is three times the number of left-handed people in City A, the number of tall people is three times the number of tall people in City A, and the number of people who are both left-handed and tall is three times the corresponding number in City A. However, in City B, no one is neither left-handed nor tall. If the total number of people in City A is four times the total number of people in City B, which of the following could be the number of people in City A who are neither left-handed nor tall?

A bakery in Pune baked a batch of \(500\) cookies one day. Of these, \(320\) contained dry fruits, \(230\) contained chocolate chips, and \(85\) contained neither dry fruits nor chocolate chips. What is the fewest possible number of cookies containing both dry fruits and chocolate chips that need to be added to the batch so that cookies containing both dry fruits and chocolate chips represent more than \(\frac{3}{5}\) of all the cookies in the batch?

At an office cafeteria, \(70\) employees are having lunch from three counters: the soup counter, the salad counter, and the sandwich counter. \(6\) employees are eating only from the salad and soup counters, \(10\) employees are eating only from the sandwich counter, and \(15\) employees are eating only from the salad and sandwich counters. Exactly \(3\) employees are eating from all three counters, while \(8\) employees are eating neither sandwiches nor salads. If no one is eating only from the soup and sandwich counters, how many employees are consuming salad?

Three friends are eating snacks at a college canteen. Of the three friends, two take chutney, two take pepper, and two take salt. The friend who takes no salt also takes no pepper, and the friend who takes no pepper also takes no chutney. Which of the following statements must be true? I. The friend who takes no salt also takes no chutney. II. Any friend who takes pepper also takes chutney and salt. III. The friend who takes no chutney is not one of those who takes salt.

There are \(100\) first-year students at a management college, and each student must take at least one of three foundation courses: Analytics, Economics, and Accounting. Among these students, \(17\) take only Economics, \(10\) take only Accounting, \(5\) take all three courses, and \(20\) take Analytics and exactly one of the other two foundation courses. If the number of students who take only Analytics is \(3\) times the number of students who take every foundation course except Analytics, how many students take Analytics?

According to a survey conducted by an Indian adventure magazine, \(25%\) of its subscribers own a boat and \(30%\) of its subscribers own a canoe. If \(46%\) of the subscribers own either a boat or a canoe, then what percent of the subscribers who own a canoe do not own a boat?

Clients at a Mumbai investment advisory firm have three investment options available to them: bonds, equity shares, and mutual funds. There were a total of \(73\) investors. Of these, \(44\) investors decided to invest in either bonds or mutual funds, but not both, and one-fourth of these investors also invested in equity shares. Seven investors invested only in equity shares. The remaining investors invested in equal numbers in either all three options or in the combination of bonds and mutual funds. How many investors have some stake in equity shares?

A private school in Bengaluru surveyed its graduating batch of \(125\) students about the musical genres they listen to. \(88%\) of the students said they listen to at least one of the following genres: indie rock, classical, folk, and electronic music. Of these students, \(40%\) said they listen to only one of the four genres. The average number of students in each distinct group of students who listen to exactly two genres is greater than the total number of students who listen to exactly three genres. If the only pair of genres with no overlap is folk and electronic music, what is the greatest number of students who could listen to classical, folk, and indie rock?

In a batch of \(100\) CAT aspirants, \(70\) cleared Quant, \(62\) cleared DILR, \(84\) cleared VARC, and \(82\) cleared General Awareness in a mock test. If \(37\) aspirants cleared all four sections, what is the maximum number of aspirants who could have failed in all four sections?

A luxury hotel in Mumbai currently has \(1160\) guests. The hotel offers four extra facilities: gym, swimming pool, gaming zone, and buffet lounge. The hotel management noticed that for every guest who uses \(F\) facilities, there are exactly \(3\) guests who use at least \((F-1)\) facilities, where \(F = 2, 3, 4\). They also found that the number of guests who used no extra facility is twice the number of guests who used all four facilities. How many guests used exactly \(3\) facilities?

In a survey, \(2000\) working professionals were asked whether they read Business Digest or Market Weekly. According to the survey, \(55%\) of the professionals read Business Digest, \(62%\) read Market Weekly, and \(37%\) read both Business Digest and Market Weekly. How many of the professionals surveyed read at most one of the two newsletters?

In a survey of \(1000\) MBA aspirants, it was found that \(10%\) of them do not use any of the three apps: WhatsApp, Telegram, and Instagram. Also, \(8%\) use all three apps, \(15%\) use only WhatsApp and Telegram, \(20%\) use only Telegram and Instagram, and \(20%\) use only WhatsApp and Instagram. The number of aspirants who use only WhatsApp, only Telegram, and only Instagram are equal. What is the ratio of the number of aspirants who use only Instagram to the number of aspirants who use WhatsApp or Instagram or both?