XAT2011 Related Question Answers
51. 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?
52.
Answer question based on the following information:On a certain day six passengers from Chennai, Bangalore, Kochi, Kolkata, Mumbai, and Hyderabad boarded the New Delhi bound Rajdhani Express from TataNagar. The following facts are known about these six passengers:1.The persons from Kochi and Chennai are less than 36 years of age. Person Z, the youngest among all is a doctor.2.The oldest person is from Kolkata and his/her profession is same as that of the person who got down at Mughal Sarai.
3.The person from Bangalore, 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.
4. The engineer from Bangalore is older than the engineer from Chennai.5. While arranging the teachers in increasing order of age it was observed that the middle person is as old as the engineer from Chennai.6.Person Y who got down at Mughal Sarai is less than 34 year old.7.The teacher from Kochi is four year older than the 31 year old doctor who is not from Mumbai.8.In the past, three of the travellers have served in the Indian Army.Which of the following options is true?
53. All six travelers 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 travelers from same profession, those with military background are at least five years older than the travelers who joined as fresh graduates. Identify the travelers who joined the organization as fresh graduate(s):
54. If W is neither the youngest nor the oldest among the travelers from her profession, which of the following is true about her?
55.
Answer question based on the following information: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.How many students turned up for renting the rooms?
56. 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:
57. 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:
58.
Based on the following information.The following graphs give annual data of Assets, Sales (as percentage of Assets) and Spending on Corporate Social Responsibility (CSR) (as percentage of Sales), of a company for the period 2004 - 2009.
In which year was the increase in spending on CSR, vis - à - vis the previous year, the maximum?
62.
Based on the following information.Five years ago Maxam Glass Co. had estimated its staff requirements in the five levels in their organization as: Level - 1: 55; Level - 2: 65; Level - 3: 225 ; Level - 4: 255 & Level - 5: 300. Over the years the company had recruited people based on ad-hoc requirements, in the process also selecting ex-defence service men and ex -policemen. The following graph shows actual staff strength at various levels as on date.
The level in which the Ex-Defence Servicemen are highest in percentage terms is:
63. If the company decides to abolish all vacant posts at all levels, which level would incur the highest reduction in percentage terms ?
65. In a locality, there are ten houses in a row. On a particular night a thief planned to steal from three houses of the locality. In how many ways can he plan such that no two of them are next to each other?
66. If $$x=(9+4\sqrt{5})^{48} = [x] +f$$, where [x] is defined as integral part of x and f is a faction, then x (1 - f) equals
67. Let $$a_{n} = 1 1 1 1 1 1 1..... 1$$, where 1 occurs n number of times. Then, i. $$a_{741}$$ is not a prime. ii. $$a_{534}$$ is not a prime. iii. $$a_{123}$$ is not a prime. iv. $$a_{77}$$ is not a prime.
68.
Based on the following information
Total income tax payable is obtained by adding two additional surcharges on calculated income tax.Education Cess : An additional surcharge called ‘Education Cess’ is levied at the rate of 2% on the amount of income tax.Secondary and Higher Education Cess : An additional surcharge called ‘Secondary and Higher Education Cess` is levied at the rate of 1% on the amount of income tax.Sangeeta is a young working lady. Towards the end of the financial year 2009 - 10, she found her total annual income to be Rs. 3, 37, 425/ -. What % of her income is payable as income tax?
69. Mr. Madan observed his tax deduction at source, done by his employer, as Rs. 3,17,910/-. What was his total income (in Rs.) if he neither has to pay any additional tax nor is eligible for any refund?
70. A straight line through point P of a triangle PQR intersects the side QR at the point S and the circumcircle of the triangle PQR at the point T. lf S is not the centre of the circumcircle, then which of the following is true?
72. The scheduling officer for a local police department is trying to schedule additional patrol units in each of two neighbourhoods - southern and northern. She knows that on any given day, the probabilities of major crimes and minor crimes being committed in the northern neighbourhood were 0.418 and 0.612, respectively, and that the corresponding probabilities in the southern neighbourhood were 0.355 and 0.520. Assuming that all crime occur independent of each other and likewise that crime in the two neighbourhoods are independent of each other, what is the probability that no crime of either type is committed in either neighbourhood on any given day?
73.
Based on the following informationA man standing on a boat south of a light house observes his shadow to be 24 meters long, as measured at the sea level. On sailing 300 meters eastwards, he finds his shadow as 30 meters long, measured in a similar manner. The height of the man is 6 meters above sea level.The height of the light house above the sea level is:
75. A 25 ft long ladder is placed against the wall with its base 7 ft from the wall. The base of the ladder is drawn out so that the top comes down by half the distance that the base is drawn out. This distance is in the range:
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