  # XAT 2014

Instructions

For the following questions answer them individually

Question 71

# The value of the expression: $$\sum_{i=2}^{100}\frac{1}{log_{i}100!}$$ is: Question 72

# There are two squares S 1 and S 2 with areas 8 and 9 units, respectively. S 1 is inscribed within S 2 , with one corner of S 1 on each side of S 2 . The corners of the smaller square divides the sides ofthe bigger square into two segments, one of length ‘a’ and the other of length ‘b’, where, b > a. A possible value of ‘b/a’, is: Question 73

# Diameter of the base of a water - filled inverted right circular cone is 26 cm. A cylindrical pipe, 5 mm in radius, is attached to the surface of the cone at a point. The perpendicular distancebetween the point and the base (the top) is 15 cm. The distance from the edge of the base to thepoint is 17 cm, along the surface. If water flows at the rate of 10 meters per minute through thepipe, how much time would elapse before water stops coming out of the pipe? Question 74

# Aditya has a total of 18 red and blue marbles in two bags (each bag has marbles of both colors). Amarble is randomly drawn from the first bag followed by another randomly drawn from thesecond bag, the probability of both being red is 5/16. What is the probability of both marbles being blue? Instructions

Answer the questions based on the given data on the tourism sector in India.

Question 75

# In which of the following years the percentage increase in the number of Indians going abroad was greater than the percentage increase in the number of domestic tourists? Question 76

# In which of the following years was the rupee cheapest with respect to the dollar? Question 77

# Let ‘R’ be the ratio of Foreign Exchange Earnings from Tourism in India (in US \$ million) to Foreign Tourist Arrivals in India (in million). Assume that R increases linearly over the years. If we draw a pie chart of R for all the years, the angle subtended by the biggest sector in the pie chart would be approximately: Instructions

Answer the questions based on the following information given below.
The exhibit given below compares the countries (first column) on different economic indicators (first row), from 2000-2010. A bar represents data for one year and a missing bar indicates missing data. Within an indicator, all countries have same scale.

Question 78

# Which of the following countries, after United States, has the highest spending on military as % of GDP, in the period 2000-2010? Question 79

# Which country (and which year) has witnessed maximum year-to-year decline in “industry as percentage of GDP”? Given that the maximum value of industry as percentage of GDP is 49.7% and the minimum value of industry as percentage of GDP is 20.02%, in the chart above. Question 80

# Which of the following countries has shown maximum increase in the “services, value added as % of GDP” from year 2000 to year 2010? OR