# XAT 2016 Preparation series

*Considered as one of the toughest entrance exams for MBA students , we are running a series under XAT 2016 preparation. With the new pattern changes that have taken place this year, it would be beneficial for you to go through these past year XAT actual questions.We have segregated questions and solutions section wise so that you get a fair idea of the difficulty level of the papers over the previous years, as well as the differential marking scheme for each question. The articles will contain 360+ actual XAT questions.* *You can browse through the posts here.*

1.Nikhil’s mother asks him to buy 100 pieces of sweets worth 100/-. The sweet shop has 3 kinds of sweets, kajubarfi, gulabjamun and sandesh. Kajubarfi costs Rs. 10/- per piece, gulabjamun costs Rs. 3/- per piece and sandesh costs 50 paise per piece. If Nikhil decides to buy at least one sweet of each type, how many gulabjamuns should he buy?

A.1

B.2

C.3

D.4

E.5

2.A potter asked his two sons to sell some pots in the The amount received for each pot was same as the number of pots sold. The two brothers spent the entire amount on some packets of potato chips and one packet of banana chips. One brother had the packet of banana chips along with some packets of potato chips, while the other brother just had potato chips. Each packet of potato chips costs Rs. 10/- and the packet of banana chips costs less than Rs. 10/-. The packets of chips were divided between the two brothers so each brother received equal number of packets.

How much money should one brother give to the other to make the division financially equitable?

A.1

B.2

C.4

D.5

E.7

3.A city has a park shaped as a right angled The length of the longest side of this park is 80 m. The Mayor of the city wants to construct three paths from the corner point opposite to the longest side such that these three paths divide the longest side into four equal segments. Determine the sum of the squares of the lengths of the three paths.

A.4000 m

B.4800 m

C.5600 m

D.6400 m

E.7200 m

Answer question nos. 4- 5 based on the following information.

Ramya, based in Shanpur, took her car for a 400 km trip to Rampur. She maintained a log of the odometer readings and the amount of petrol she purchased at different petrol pumps at different prices (given below). Her car already had 10 litres of petrol at the start of the journey, and she first purchased petrol at the start of the journey, as given in table below, and she had 5 litres remaining at the end of the journey.

Odometer Reading (Km) | Petrol Purchased (Litre) | Rate of Petrol (M/Litre) | |

Start of Journey | 400 | 20 | 30 |

600 | 15 | 35 | |

650 | 10 | 40 | |

End of Journey | 800 |

4.What has been the mileage (in kilometers per litre) of her car over the entire trip?

A.8.00

B.8.50

C.9.00

D.9.50

E.None of the above

5.Her car’s tank-capacity is 35 Petrol costs Rs. 45/- litre in Rampur. What is the minimum amount of money she would need for purchasing petrol for the return trip from Rampur to Shanpur, using the same route? Assume that the mileage of the car remains unchanged throughout the route, and she did not use her car to travel around in Rampur.

A.1714

B.1724

C.1734

D.1744

E.Data insufficient to answer.

6.A medical practitioner has created different potencies of a commonly used medicine by dissolving tables in water and using the resultant solution

*Potency 1 solution: When 1 tablet is dissolved in 50 ml, the entire 50 ml is equivalent to one dose.*

*Potency 2 solution: When 2 tablets are dissolved in 50 ml, the entire 50 ml of this solution is*

*equivalent to 2 doses, … and so on.*

This way he can give fractions of tablets based on the intensity of infection and the age of the patient.

For particular patient, he administers 10 ml of potency 1, 15 ml of potency 2 and 30 ml of potency 4. The dosage administered to the patient is equivalent to

A.> 2 and < 3 tablets

B. > 3 and < 3.25 tablets

C. > 3.25 and < 3.5 tablets

D.> 3.5 and < 3.75 tablets

E. > 3.75 and < 4 tablets

7.Ram prepares solutions of alcohol in water according to customers’ This morning Ram has prepared 27 litres of a 12% alcohol solution and kept it ready in a 27 litre delivery container to be shipped to the customer. Just before delivery, he finds out that the customer had asked for 27 litres of 21% alcohol solution. To prepare what the customer wants, Ram replaces a portion of 12% solution by 39% solution. How many litres of 12% solution are replaced?

A.5

B. 9

C.10

D.2

E.15

8.City Bus Corporation runs two buses from terminus A to terminus B, each bus making 5 round trips in a There are no stops in between. These buses ply back and forth on the same route at different but uniform speeds. Each morning the buses start at 7 AM from the respective terminuses. They meet for the first time at a distance of 7 km from terminus A. Their next meeting is at a distance of 4 km from terminus B, while travelling in opposite directions. Assuming that the time taken by the buses at the terminuses is negligibly small, and the cost of running a bus is M 20 per km, find the daily cost of running the buses (in M ).

A.3200

B.4000

C.6400

D.6800

E.None of the above

9.Shyam, a fertilizer salesman, sells directly to farmers. He visits two villages A and Shyam starts from A, and travels 50 meters to the East, then 50 meters North-East at exactly 45° to his earlier direction, and then another 50 meters East to reach village B. If the shortest distance between villages A and B is in the form of a b + c meters, find the value of a + (√b + √c.)

A.52

B.4

C.58

D.59

E.None of the above

10.Three truck drivers, Amar, Akbar and Anthony stop at a road side eating Amar orders 10 rotis, 4 plates of tadka, and a cup of tea. Akbar orders 7 rotis, 3 plates of tadka, and a cup of tea. Amar pays M 80 for the meal and Akbar pays M 60. Meanwhile, Anthony orders 5 rotis, 5 plates of tadka and 5 cups of tea. How much (in rupees) will Anthony pay?

A.75

B. 80

C.95

D.100

E. None of the above**.**

Answers –

1.A

2.B

3.C

4.A

5.D

6.B

7.B

8.D

9.E

10.D