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SMT. SULOCHANADEVI SINGHANIA SCHOOL, THANE. Class Sub. Exam Date Marks Time Total No. of Printed sides 10 MATHS Prelims 25 01 2021 80 2 hrs 4 Instructions: Attempt all questions from Section A and any four complete questions from Section B. All working, including rough work, must be clearly shown and must be done on the same sheet as the rest of the answer. Omission of essential working will result in the loss of marks. SECTION A (40 marks) (Attempt all questions from this section) Question 1 A) When two polynomials 2x3 ax2 3x 7 and ax3 3x2 8x 19 are divided by (x 3), the remainder is same. Find the value of a. [3] B) If (m 3), (2m + 1) and (4m + 3) are three consecutive terms of an AP, find the value of m. [3] C) If A = [ 3 1 ] , then find A2 5A + 7I where I is an identity matrix of order 2 x 2. 1 2 [4] Question 2 A) A manufacturer sells a refrigerator to a wholesaler for Rs 30000. The wholesaler sells it to a retailer at a profit of Rs 2000. The retailer sells it to a customer and makes a profit of Rs. 3000. If GST charged is 18%, find: i. The GST deposited by the wholesaler with government. ii. The total amount of GST received by the government on sale of refrigerator. iii. The amount paid by the customer for it. [3] B) Solve the following inequation and represent the solution set on the number line : 2 x 5 5 x + 4 12, x I [3] C) In the given figure, O is the centre of the circle and AB is the diameter. DAB = 52 , find : i) DCB ii) ABD iii) DEB 1 [4]
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