# XAT 2012 Question Paper - QUANT

Instructions

For the following questions answer them individually

Question 58

Question 59

## Ramesh analysed the monthly salary figures of five vice presidents of his company. All the salary figures are integers. The mean and the median salary figures are 5 lakh, and the only mode is 8 lakh. Which of the options below is the sum (in lakh) of the highest and the lowest salaries?

Instructions

based on the following information
The following graphs shows the revenue (in $million) of three companies in their initial six years of operations, in an economy which is characterized by a persistent inflation. Question 60 ## In 2010, which could be a valid statement about the revenues (adjusted for inflation) of thesethree companies? Question 61 ## The difference in the average percentage increase in revenues, from 4th to 6th year, of Yahoo and Facebook is: Question 62 ## What would have been Facebook’s revenue (in$ million) in its sixth year of operation if thecompany had matched Google’s percentage growth in revenues from the fifth to the sixth year?Choose the option that is nearest to the answer.

Instructions

For the following questions answer them individually

Question 63

Question 64

Question 65

Question 66

Question 67

Question 68

Question 69

Question 70

## A city has a park shaped as a right angled triangle. 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.

Instructions

Answer question 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.

Question 71

Question 72

## Her car’s tank-capacity is 35 litres. Petrol costs 45/- litre in Rampur. What is the minimumamount 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.

Instructions

For the following questions answer them individually

Question 73

Question 74

Question 75

Question 76

Question 77

Question 78

Question 79

## Suresh, who runs a bakery, uses a conical shaped equipment to write decorative labels (e.g., HappyBirthday etc.) using cream. The height of this equipment is 7 cm and the diameter of the base is 5 mm. A full charge of the equipment will write 330 words on an average. How many words can be written using three fifth of a litre of cream?

Instructions

The following pie chart shows the percentage distribution of runs scored by a batsman in a test innings.

Question 80

Question 81

## If 5 of the dot balls had been hit for 4s, and if two of the shots for which the batsman scored 3 runs each had fetched him one run instead, what would have been the central angle of the sector corresponding to the percentage of runs scored in 4s? {Use data from the previous question}

Instructions

For the following questions answer them individually

Question 82

Question 83

Question 84

Question 85