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SMT. SULOCHANADEVI SINGHANIA SCHOOL, THANE Clas s Sub. Exam Date Marks Time Total No. of Printed sides 10 Mathematic s Prelim II 08.02.201 6 80 2 hrs. 4 General Instructions: 1. Attempt all questions from section-A. 2. Attempt any 4 complete questions from section B 3. All working, including rough work, must be clearly shown and must be done on the same sheet as the rest of the answer. 4. Omission of essential working will result in loss of marks. 5. Mathematical tables are provided. SECTION A (40 Marks) Attempt all questions from this section. Question 1 A) Find matrices X and Y such that [ ] 5 2 X+Y= 1 3 [ ] 1 10 and X Y = 5 7 [3] B) Solve the given inequation and represent the solution set on the number line: 1 3x 2 +1< ,x I [3] 5 10 5 C) Use factor theorem to factorise completely: 2x3 + 7x2 9 [4] Question 2 A) On a sum of money, the simple interest for 2 years is Rs. 660, while the compound interest is Rs. 696.30, the rate of interest being the same in both the cases. Find the rate of interest.[ 3 ] B) An article is available for Rs. 1430 inclusive of sales tax at the rate of 10 %. Find its list price. What will be its new selling price if the rate of sales tax changes to 12 % ? [3] C) Determine the ratio in which the line joining ( 0, 7 ) and ( -2, 1 ) is divided by the line
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