XAT 2011 Question Paper - QUANT

Instructions

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.

Question 59

In which year was the increase in spending on CSR, vis - à - vis the previous year, the maximum?

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Question 60

Of the years indicated below, in which year was the ratio of CSR/ Assets the maximum?

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Question 61

The maximum value of spending on CSR activities in the period 2004-2009 is closest to which of the following options?

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Question 62

In which year, did the spending on CSR (measured in Rs) decline, as compared to previous year?

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Instructions

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.

Question 63

The level in which the Ex-Defence Servicemen are highest in percentage terms is:

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Question 64

If the company decides to abolish all vacant posts at all levels, which level would incur the highest reduction in percentage terms ?

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Question 65

Among all levels, which level has the lowest representation of Ex- policemen?

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Instructions

For the following questions answer them individually

Question 66

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?

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Question 67

If $$x=(9+4\sqrt{5})^{48} = [x] +f$$, where [x] is defined as integral part of x and f is a fraction, then x (1 - f) equals

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Question 68

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.

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