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The following questions have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. There are some mangoes and oranges in a basket. If two fruits are picked up at random without replacement then find the probability that both are ripped. Statement I: There are total 12 mangoes and 24 oranges in the basket. Statement II: Half of the mangoes and 3/4th of the oranges are ripped. Statement III: 12 fruits are not ripped in the basket which is 1/3rd of the total fruits in the basket.

The following questions have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. There are some mangoes and oranges in a basket. If two fruits are picked up at random without replacement then find the probability that both are ripped. Statement I: There are total 12 mangoes and 24 oranges in the basket. Statement II: Half of the mangoes and 3/4th of the oranges are ripped. Statement III: 12 fruits are not ripped in the basket which is 1/3rd of the total fruits in the basket. Correct Answer Statement III alone or Statement I and II together are sufficient to answer the question.

Statement I and II:

Total 12 mangoes and 24 oranges and half of the mangoes and 3/4th of the oranges are ripped;

∴ Total fruits = 12 + 24 = 36

Total ripped fruits = 12/2 + 24 × 3/4 = 24

∴ Total non-ripped fruits = 36 - 24 = 12

Statement III:

12 fruits are not ripped in the basket which is 1/3rd of the total fruits in the basket;

∴ Total non-ripped fruits = 12 and

Total fruits = 12 × 3 = 36

Now we can find the required probability.

∴ Statement III alone or Statement I a
nd II together are required to answer the question.

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