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Quantitative - Mathematics - Data Sufficiency:

Data Sufficiency

MCQ - 32-4008

Question:

Two socks are to be picked at random from a drawer containing only black and white socks. What is the probability that both are white?

  1. The probability of the first sock being black is 1/3.
  2. There are 24 white socks in the drawer.

  1. statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
  2. statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
  3. both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
  4. statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
  5. statements 1 and 2 together are not sufficient, and additional data is needed to answer the question

Correct Answer: C

Explanation:

From (1) we know the ratio of black socks to white, but that ratio will change when one sock is taken out. To get the new ratio, and hence the probability that the next sock will also be white, we need to know the number of socks of each type. The answer cannot be A or D. Obviously (2) on its own does not get the ratio and so B cannot be correct. But putting the information in both statements together we can solve the problem (24 white socks with a ratio of black to total of 1:3 means that there are 12 black and 24 white socks). The answer is C.

Record Performance

34 MCQ for effective preparation of the test of Data Sufficiency of Data Sufficiency section.

Read the MCQ statement: Two socks are to be picked at random from a drawer containing only black and white socks. What is the probability that both are white? The pro .... s in the drawer. , keenly and apply the method you have learn through the video lessons for Data Sufficiency to give the answer. Record your answer and check its correct answer and video explanation for MCQ No. 32-4008.

How to Answer

Solve the question for MCQ No. and decide which option (A through D/E) is the best choice to answer the MCQ, then click/tap the blue button to view the correct answer and it explanation.

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