#Average Speed

(a) A train in first five successive minutes from its start runs 68 m, 127 m, 208 m, 312 m and 535 m and for next 5 minutes maintains an average speed of 33 km/hr. Find the whole distance covered and the average speed in covering this total distance. (b) A solid cuboid with base 10 cm by 6 cm is available. The height of the cuboid is 'y' centimeter and the total surface area of the cuboid is given to be 376 cm². Find the height of the cuboid. (c) In a six member family (A, B, C, D, E and F), there are two fathers, three brothers and a mother. If C is the sister of F, B is the brother of E's husband. D is the father of A and grandfather of F. Who is E's husband? (d) How many prime numbers are between each of the following pairs of numbers? a) √3 and √120 b) √10 and √410 c) ∛10 and ∛999 d) ∛28 and √120 e) √8 and √400.

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