The total number of white earphones in boxes A and B combined is 14 and the total number of black ea...........

Quantitative Aptitude (SBI-CL) Data Sufficiency

The total number of white earphones in boxes A and B combined is 14 and the total number of black earphones in boxes A and B combined is 14 respectively. If 2 earphones are picked from box B at random, what is the probability that both of them are black?

Statement I: The ratio of the number of white and black earphones in box A is 3 : 5 and in box B is 2 : 1.

Statement II: The difference between the number of white earphones in box B and black earphones in box A is 6.

If the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question

If the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question

If the data either in statement I alone or in statement II alone is sufficient to answer the question

If the data in both statements I and II together are necessary to answer the question

If the data given in both statements I and II together are not sufficient to answer the question.

Explanation:

So, the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question

Hence, option A is correct.