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Question

Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in all the three statements are sufficient to answer the question. Read all the statements and give answer –

What will be the percentage increase in the volume?

Statement I : A cube of ice is dip into 20 litre water

Statement II : If radius of a cylinder increases by 25% and height increases by 20%

Statement III : If the height of ice cube is 20 cm.

A All I, II and III Correct Answer Incorrect Answer
B II alone and I and III together Correct Answer Incorrect Answer
C I and II together Correct Answer Incorrect Answer
D II and III together Correct Answer Incorrect Answer
E II alone Correct Answer Incorrect Answer

Solution

From II: Volume = πr 2 h So by successive formula, the increase in volume can be found First: rate 2 So 25 + 25 + (25)(25)/100 = 56.25% Next: 56.25 + 20 + (56.25) × (20)/100 = 87.5% (final increase in volume) From I and III: volume of given shape (cylinder, cube, cone) = 20 litre (initial volume). And ice cube of height 20 cm is dip into it. So after finding new volume or increase in volume after the ice cube is dipped, % increase in volume can be found.

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