MATHEMATICS

SECTION A (40 Marks)

Attempt all questions from this Section.

Question 1

(a) Find the value of ‘k’ if 43− 22++5 leaves remainder -10 when divided by 𝑥+1. [3]
(b) Amit deposits ` 1600 per month in a bank for 18 months in a recurring deposit account. If he gets ` 31,080 at the time of maturity, what is the rate of interest per annum? [3]
(c) The price of an article is ` 9350 which includes VAT at 10%. Find how much less a customer pays for the article, if the VAT on the article decreases by 3%. [4]

Question 2

(a) Solve the following inequation and represent your solution on the real number line:
−512−𝑥≤12−3𝑥≤312−𝑥,𝑥∈𝑅 [3]
(b) Find the 16th term of the A.P. 7, 11, 15, 19…. Find the sum of the first 6 terms. [3]
(c) In the given figure CE is a tangent to the circle at point C. ABCD is a cyclic quadrilateral. If ∠ABC = 93o and ∠DCE = 35o.

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