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MATHEMATICS - 2007

(Two hours and a half)

Question 1

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1.

(a) Show that (x − 1) is a factor of x3 − 7x2 + 14x − 8. Hence, completely factorise the above expression.
 

2.

(b) Dinesh bought an article for Rs. 374, which included a discount of 15% on the marked price and a sales tax of 10% on the reduced price. Find the marked price of the article.
 

3.

(c) Ramesh invests Rs. 12800 for three years at the rate of 10% per annum compound interest. Find:-
(i) The sum due to Ramesh at the end of the first year.
 

4.

(ii) The interest he earns for the second year.
 

5.

(iii) The total amount due to him at the end of the third year.
 


 
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