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6. Find two numbers whose sum is 27 and product is 182., OR, , Find two consecutive positive integers, sum of whose squares is 365., , Section B, Q6 - Q10 are of 3 mark each., , 7. The following data gives the information on the observed lifetimes (in hours) of, 225 electrical components:, , , , , , Lifetimes O- 20 - 40 - 60 - 80 - 100 | 100 - 120, (in hours) 20 40 60 80, Frequency 10 35 52 61 38 29, , , , , , , , , , , , , , , , , , , , Determine the modal lifetimes of the components., , 8. Two concentric circles are of radii 5 cm and 3 cm. Find the length of the chord of, the larger circle which touches the smaller circle., , 9. Find the following tables gives the distribution of the life time of 400 neon lamps:, , , , , , , , , , , , , , , , , , Life time (in hours) | Number of lamps, 1500 - 2000 14, 2000 - 2500 56, 2500 - 3000 60, 3000 - 3500 86, 3500 - 4000 74, 4000 - 4500 62, 4500 - 5000 48, , , , , , , , , , Find the median life time of a lamp., , 10.A contractor plans to install two slides for the children to play in a park. For the, children below the age of 5 years, she prefers to have a slide whose top is at a, height of 1.5 m, and is inclined at an angle of 30° to the ground, whereas for the, elder children she wants to have a steep side at a height of 3 m, and inclined at, an angle of 60° to the ground. What should be the length of the slide in each, case?, , OR