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MOCK EXAMINATION 3 2017 MATHEMATICS 1 hrs. 2 Grade: 10 Time: 2 Date: 13th April, 2017 Max. Marks: 80 [The time stated above is the time allowed for writing the examination. In addition, the first 15 minutes will be the time given for reading the question paper.] INSTRUCTIONS 1. Answer all Questions from Section A and any FOUR Questions from section B. 2. All working, including rough work, should be done on the same sheet and adjacent to answer. 3. The intended marks for Questions or parts of questions are given in brackets [ ]. SECTION A [40 Marks] Question 1 [3 + 3 + 4] a) On a certain sum of money, the difference between the compound interest for a year, payable half yearly and the simple interest for a year is Rs.180. Find the sum lent out, the rate of interest in both the cases being 10% per annum. b) Cards marked with numbers 3, 4, 5, .50 are placed in a box and mixed thoroughly. One card is then drawn at random from the box. Find the probability that the number on the card is : i. Divisible by 7 ii. A prime number less than 25 iii. A number, which is a perfect square. c) Find the value of a and b such that (x + 1) and (x 3) are factors of x 3 - 3x2 + ax - b. Question 2 [3 + 3 + 4] Page 1 of 6
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