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A car manufacturer located 29 Km due west of chennai produces 250 carslour for export to Europe. However there is a problem in the paintshop and the lights have gone out. It seems that the cars can be painted only red and blue and nobody has noticed this except you as the cars come out of the testing area onto NH4: at random. What are the odds that 6 consecutive cars of the same colour will come through the test area at any one time(1 in ------------) ?

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TCS Other Question

Archimedes is believed to have fallen asleep in his bathtub where he had interesting insights into the properties of liquids. Archimedes Principle states that the buoyant force on a submerged object is equal to the weight of the liquid that is displaced by the object. If the density of the liquid is 10 kg,m^3 and the density of the object is 20kg,m.'3. What is the volume occupied by 522 kg of the liquid.
A seamstress buys a certain amount of Gingham cloth which comes in rolls that are exactly 56 inches wide. She has also bought a certain length of Seersucker cloth which comes as individual pieces that are exactly a yard long and 35 inches wide. The seamstress first focuses on the Gingham roll and discovers that she has 139 yards of Gingham: and she wants to divide the Gingham into 139 lengths of 1 yard each. She wants to have twice as many pieces of Seeksucker as she does of the Gingham. It takes her S seconds to cut each length of Gingham. Working non-stop: how long (in seconds) will it take her to cut all 139 pieces?