Instructions

Questions are followed by two statements labelled as I and II. Decide if these statements are sufficient to conclusively answer the question. Choose the appropriate answer from the options given below:

A. Statement I alone is sufficient to answer the question.

B. Statement II alone is sufficient to answer the question.

C. Statement I and Statement II together are sufficient, but neither of the two alone is sufficient to answer the question.

D. Either Statement I or Statement II alone is sufficient to answer the question.

E. Both Statement I and Statement II are insufficient to answer the question

Question 81

A sequence of positive integer is defined as $$A_{n+1}=A_{n}^{2}+1$$ for each n â„ 0. What is the value of Greatest Common Divisor of $$A_{900}$$ and $$A_{1000}$$ ?

I. $$A_{0} = 1$$

II. $$A_{1} = 2$$

Instructions

For the following questions answer them individually

Question 82

a,Â b,Â c,Â d andÂ e are integers such that 1 â€ a < b < c < d < e. If a, b, c, d and e are geometric progression and lcm (m , n) is the least common multiple of m and n, then the maximum value of $$\frac{1}{lcm(a,b)}+\frac{1}{lcm(b,c)}+\frac{1}{lcm(c,d)}+\frac{1}{lcm(d,e)}$$ is

Instructions

Books and More sells books, music CDs and film DVDs. In December 2009, they earned 40% profit in music CDs and 25% profit in books. Music CDs contributed 35% towards their total sales in rupees. At the same time total sales in rupees from books is 50% more than that of music CDs.

Instructions

For the following questions answer them individually

Question 85

ABCD is a parallelogram with $$\angle$$ ABC = 60Â°. If the longer diagonal is of length 7 cm and the area of the parallelogram ABCD is $$15\frac{\sqrt{3}}{2}$$ sq.cm, then the perimeter of the parallelogram (in cm) is

Instructions

OABC is a square where O is the origin and AB = 1. Consider the set of points $$s = {(x_{i},y_{i})}$$ in the square such that $$x_{i}+y_{i}$$â€1. Let $$P (x_{1}, y_{1})$$ and $$Q (x_{2}, y_{2})$$ be two such points. Two operations addition (+) and multiplication (.) on S are defined as

$$P + Q = (x_{1}+x_{2} - x_{1}x_{2},y_{1}y_{2})$$

$$P.Q = (x_{1}x_{2},y_{1}+y_{2} - y_{1}y_{2})$$

Instructions

Answer thequestions based on the data given in table 2

Cost and price data for Portland cement manufactured by Paharpur Cement and Bahsin Cement, for four consecutive quarters, are given in table 2:

Sales Revenue = Price Ă Sales Quantity

Profit = Sales Revenue â Cost

Profit Rate = Profit / Sales Quantity

Question 89

If between Jan - Mar 2009 and Apr - Jun 2009 sales of Paharpur Cement increased from 543278 to 698236 and that of Bahsin Cement decreased from 526532 to 499874, then which of the following is true?

Question 90

If between Apr - Jun 2009 and Jul - Sept 2009 sales of Paharpur Cement increased by 2.25%, its profit increased by

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