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Mrs. Sharma has a house which she wants to convert to a hostel and rent it out to students of a nearby women’s college. The house is a two story building and each floor has eight rooms. When one looks from the outside, three rooms are found facing North, three found facing East, three found facing West and three found facing South. Expecting a certain number of students, Mrs. Sharma wanted to follow certain rules while giving the sixteen rooms on rent:
All sixteen rooms must be occupied.
No room can be occupied by more than three students.
Six rooms facing north is called north wing. Similarly six rooms facing east, west and south are called as east wing, west wing and south wing. Each corner room would be in more than one wing. Each of the wings must have exactly 11 students. The first floor must have twice as many students as the ground floor.
However Mrs. Sharma found that three fewer students have come to rent the rooms. Still. Mrs. Sharma could manage to allocate the rooms according to the rules.
[1] How many students turned up for renting the rooms? (3 marks)
(1) 24
(2) 27
(3) 30
(4) 33
(5) None of these[2] If Mrs. Sharma allocates the north-west corner room on the ground floor to 2 students, then the number of students in the corresponding room on the first floor, and the number of students in the middle room in the first floor of the east wing are: (2 marks)
(1) 2 and 1 respectively
(2) 3 and 1 respectively
(3) 3 and 2 respectively
(4) Both should have 3 students
(5) Such an arrangement is not possible.[3] If all the student that Mrs. Sharma expected initially had come to rent the rooms, and if Mrs. Sharma had allocated the north west corner room in the ground floor to 1 student, then the number of students in the corresponding room on the first floor, and the number of students in the middle room in the first of the east wing would have been: (2 marks)
(1) 1 and 2 respectively
(2) 2 and 3 respectively
(3) 3 and 1 respectively
(4) Both should have 2 students.
(5) Such an arrangement is not possible.asked in XAT
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4.
On a certain day six passengers from Chennai, Benguluru, Kochi, Kolkata, Mumbai, and Hyderabad boarded the New Delhi bound Rajdhani Express from TataNagar. The following facts are known about these six passengers:
i).The persons from Kochi and Chennai are less than 36 years of age.
ii). Person Z, the youngest among all is a doctor.
iii). The oldest person is from Kolkata and his/her profession is same as that of the person who got down at Mughal Sarai.
iv). The person from Bengaluru, Chennai, Hyderabad and Mumbai got down at four different stations. The eldest among these four got down at Koderma and the youngest at Kanpur. The person who got down at New Delhi is older than the person who got down at Mughal Sarai.
v). The engineer from Bengaluru is older than the engineer from Chennai.
vi). While arranging the teachers in increasing order of age it was observed that the middle person is as old as the engineer from Chennai.
vii). Person Y who got down at Mughal Saras is less than 34 year old.
viii). The teacher from Kochi is four year older than the 31 year old doctor who is not from Mumbai.
ix). In the past, three of the travellers have served in the Indian Army.[1] Which of the following options is true? (2 marks)
(1) The person from Chennai is older than the person from Kochi.
(2) The oldest teacher is from Mumbai.
(3) The person from Mumbai is older than at least one of the engineers.
(4) The person from Kochi got down at Mughal Sarai, and was an engineer.
(5) The person who got down at New Delhi is older than Y, who in turn is older than the person from Hyderabad.[2] All six travellers are working in the same organization for at least one year. The organization recruits two categories of employees – fresh graduates and those who have at least five years of experience in the Indian Army. In both cases a new recruit should be less than 30 years of age. Among the travellers from same profession, those with military background are at least five years older than the travellers who joined as fresh graduates. Identify the travellers who joined the organization as fresh graduate(s): (2 marks)
(1) Only Y.
(2) The person Y and the traveller from Chennai.
(3) The person Y and the travellers from Kochi and Hyderabad.
(4) The travellers from Kochi and Hyderabad.
(5) The teacher from Mumbai, the traveller from Kochi and the younger engineer.
[3] If W is neither the youngest nor the oldest among the travelers from her profession, which of the following is true about her? (2 marks)
(1) She got down at Koderma.
(2) She is 36 years old.
(3) She got down at Mughal Sarai.
(4) She is from Kochi.
(5) None of the aboveasked in XAT
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5.
In the country of Gagan, air travellers can buy their tickets either directly from the airlines or from three websites that are licensed to offer ticketing services online. In Gagan most of the commercial transactions are done electronically, and all citizens have an account with its national bank CeeCee. As a result the three websites have become popular and each transaction through these websites carries a surcharge of Gs. 250 (Gs. refers to Guppes, currency of Gagan). Given below are four post new-year (January 2, 2011 to February 28, 2011) offers from three competing websites:
Cozy_travel Offer: Make a confirmed booking for any service (fight ticket, hotel or rail tickets) through Cozy_travel.com from December 5, 2010 to February 8, 2011 and become eligible for two free air tickets (offer is limited to the base fare). Free tickets have to be booked through online request from January 1, 2011 to February 28, 2011. The request for free tickets should be submitted at least twenty-one days in advance. Free tickets are non - amendable (expect the passenger name) and cannot be cancelled. Free ticket cannot be exchanged for cash or kind with anybody. Cozy_travel will try its best to secure the free ticket as per the request. However, ticket confirmation is subject to airline schedule and set availability in airlines selected and finalized by Cozy_travel from specific available airlines.
Cool_yatra Offer: Book any air ticket of any airline on Cool_yatra.com on or after December 21, 2010 and get your next ticket free. Under this offer, only the base fare of free ticket will be refunded by Cool_Yatra.com. Customer will have to bear rest of the charges (other fees and surcharges). The value of base fare will be refunded to passenger on/after March 1 or fifteen days after completion of travel on free ticket (whichever is later). The free ticket can be booked only on GagaAir flights. The free ticket must be booked within fifteen days of booking the original ticket and the travel date of free ticket must be fifteen days after the booking date of free ticket. There must be a seven day gap between the travel date of main/original ticket and the free ticket. The travel date of free ticket should be on or before February 28, 2011. The free ticket cannot be transferred. On cancellation of the original ticket(s), you no longer remain eligible for the free ticket(s).
Easy_travel Cash Back Offer: Easy travel offers 25% cash back on all air ticket bookings between December 5, 2010 and February 28, 2011 using CeeCee net banking service or its debit/credit card. The cash back amount will be credited back to customers account within twenty-one days from making the transaction. Maximum cash back during the period is Gs. 400 per person per ticket and total amount that can be claimed by the customer is Gs. 2,400.
Ek Ke Sath Ek Offer from Easy_travel: Book an AirSpice ticket with Easy_travel using any credit/debit card, and get another ticket absolutely free. The free tickets will be issued on AirSpice on its entire network. The offer is valid for sale from January 11, 2011 to January 31, 2011. The free ticket must be booked at least fifteen days prior to the date of travel and need to be completed within the offer period. The promotion code for the free ticket will get activated only seven days after booking the main ticket. Easy_travel will charge a handling fee of Gs. 1000/- per person for any amendments made on main ticket. Cancellations of tickets purchased under this offer are not permitted. The free ticket obtained under this offer cannot be exchanged for cash and cannot be rerouted.
[1] Which offer has got the maximum chance for becoming the most popular among the air travellers of Gagan during post new-year period?
Among the following options, choose the best offer-explanation combination.
(3 marks)
(1) Cozy_travel, because the customers will get twice the number of flights and offer is applicable for all services provided by Cozy_travel.
(2) Cozy_travel, because it allows any customer to transfer the free ticket to any one if they are not interested in using it.
(3) Ek ke sath ek offer from Easy_travel, because it offers absolutely free tickets to all customers.
(4) Cash Back offer from Easy_travel, because all other offers are restricted either in terms of airlines to choose or the period of offer.
(5) Cozy_travel, because it allows customers to use free tickets even after post new-year period.[2] Suppose the offer from Cool_yatra became the most popular, and the other two agencies have sought help from business consultants to make their offers more attractive. Identify the best recommendation among the following. (3 marks)
(1) Recommendation for the Ek Ke Sath Ek Offer of Easy_travel: Negotiate with GagaAir to come up with an offer that provides one free ticket for every main ticket booked in AirSpice.
(2) Recommendation for the Cash Back Offer of Easy_travel: Ensure that cash back amount will be credited back to the customer’s account within fifteen days.
(3) Recommendation for the offer from Cozy_travel: Reduce the number of free tickets to one and applicable only for air ticket booking (not for other service), but allow customers to book their free ticket from Cozy_travel.com in GagaAir or comparable airlines without any date restrictions.
(4) Recommendation for the Ek Ke Sath Ek Offer of Easy_travel: Negotiate with GagaAir to come up with an offer that provides one free ticket for every main ticket booked in GagaAir and run both offers simultaneously.
(5) Recommendation for the offer from Cozy_travel: Do not allow customers to transfer tickets to others, but disclose that Cozy_travel will consider both GagaAir and AirSpice flights that connect all cities in Gagan for issuing free tickets.
[3] Jagan is appearing for MAAT exam on January 2, 2011, in a city which is not his home town and he is yet to book the air ticket to reach his hometown from MAAT center. Based on his MAAT performance, he is confident about getting an interview call from the institute of his choice located in Akashpur. All institutes associated with MAAT will contact the short-listed candidates within next two weeks with venue details and date of interview. Interviews will be scheduled within fifteen days from the date of announcement of shortlist, and will be held at the respective institutes. Jagan’s hometown, MAAT centre, and Akashpur are connected by all airlines and the base fares start at Gs. 1,000. While visting Akashpur for the interview, Jagan will have to put up in a hotel. The minimum charge for booking a hotel in Akashpur through Cozy_travel is Gs. 2,400. Equally good hotels which are not listed in the Cozy_travel website charge Gs. 1,000. All the three travel websites assure a minimum of one free air ticket for every booking. If Jagan has no other reason to fly, which of the following offers should Jagan go for? (3 marks)
(1) Ek Ke Sath Ek Offer of Easy_travel.
(2) Get the flight ticket and hotel booking from Cozy_travel. He should use confirmed free ticket for return journey and exchange extra ticket (if any) on barter basis.
(3) Get the flight ticket through Cozy_travel, and use the second ticket if available for the return journey.
(4) Get the flight ticket from Cool_yatra.
(5) Get the flight ticket and hotel booking through Cozy_travel, and use free tickets for return journey.
[4] Janaki needs to reach Khilli on January 28 to visit her uncle, and will return after fifteen days. Janaki found that the minimum fare for both the to and fro journeys is Gs. 5,000 which includes Gs. 1,200 base fare. If all airlines connect Janaki’s city to Khilli, and all three offers (except the Cash Back Offer) ensure minimum of one free air ticket. Which of the following should Janaki opt for? (3 marks)
(1) Ek Ke Sath Ek Offer of Easy_travel
(2) Cash Back Offer of Easy_travel
(3) The Cozy_travel offer
(4) The Cool_yatra offer
(5) Buy air tickets directly from airline websitesasked in XAT
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6.
Every Saturday, the members of Raja Harish Chandra Club meet in the evening. All the member of the club are honest and never lie. Last Saturday, the following conversation was heard at one of the table with five members sitting around it.
Satya Sadhan: In this club not all members are friends with each other.
Satyabrata: None of the pair of friends in this club has any common friend.
Satyajit: Every pair of member who are not friends has exactly two common friends in this club.
Satya Pramod: There are fewer than 22 people in this club.
[1] How many members are there in the club? (5 marks)
(1) 5
(2) 7
(3) 15
(4) 16
(5) 20[2] How many friends does Satya Sadhan have in the club? (3 marks)
(1) 2
(2) 3
(3) 5
(4) 7
(5) 8asked in XAT
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