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MATHEMATICS -2005

(Two hours and a half)

Question 4

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1.

(a) Draw a histogram to represent the following data :
Pocket money in Rs.
No. of Students
150 - 200
10
200 - 250
5
250 - 300
7
300 - 350
4
350 - 400
3
 

2.

(b) Prove that (1 + tan A)2 + (1 − tan A)2 = 2 sec2A.
 

3.

(c) The catalogue price of a computer set is Rs 45,000. The shopkeeper gives a discount of 7% on the listed price. He gives a further off-season discount of 4% on the balance. However, sales tax at 8% is charged on the remaining amount.
Find : (i) The amount of sales tax a customer has to pay, (ii) The final price he has to pay for the computer set.
(Type in the answers separated by commas. Leave no spaces around the commas.)
 


 
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