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:

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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 of
the 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:

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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 distance
between the point and the base (the top) is 15 cm. The distance from the edge of the base to the
point is 17 cm, along the surface. If water flows at the rate of 10 meters per minute through the
pipe, how much time would elapse before water stops coming out of the pipe?

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Question 74

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

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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?

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Question 76

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

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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:

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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?

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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.

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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?

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