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MATHEMATICS PAPER 2005.
Time allowed: 3 hours; Maximum Marks: 100
| General Instructions: | |
| 1) | All questions are compulsory. |
| 2) | The question paper consists of 25 questions divided into three sections A, B and C Section A contain 10 (1- 10) questions of 3 marks each. Section B contains 10 questions 10 (11-20) questions of 4 marks each. Section C contains 5 (21-25) questions of 6 marks each. |
| 3) | There is no overall choice. However, an internal choice has been provided in each section. |
| 4) | In question on construction, the drawing should be neat and exactly as per the given measurements. |
| 5) | Use of calculator is not permitted. However, you may ask for Mathematical tables. |
| 6) | Please give the explanation for the answer where applicable. |
1.Add the difference of 
2.Find the sum of all two digit odd positive numbers.
3. Solve
for x and y: 
and 
4. Find a and b so that the polynomials:
q(x)=(
have (
as
common factor.
5.Solve
for x: 
6.The 8 th term of an Arithmetic progression is zero. Prove that
its 
term
is triple its 
th
term.
7.The
cash price of a machine is Rs 
It
is also available at
Rs. 
cash
down payment followed by five equal monthly installments
of Rs 
each.
Find the rate of interest under the installment plan.
8.Deepak borrowed a sum of money and returned it in three equal quarterly installments of Rs 1,40,608. If the rate of interest charged is 16% per annum compounded quarterly, find the sum borrowed. Also find the total interest charged.
9.The perpendicular from vertex A on the side BC of triangle ABC
intersects BC at Point D such that 
Prove
that 
10.In the given figure, find the length of DE if AE=15cm, DB = 4 cm and CD = 9 cm.
| Section A | Section B | Section C |
