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Quantitative - Mathematics - Data Sufficiency:

Data Sufficiency

MCQ - 25-4001

Question:

Is the length of a side of equilateral triangle E less than the length of a side of square F?

  1. The perimeter of E and the perimeter of F are equal.
  2. The ratio of the height of triangle E to the diagonal of square F is 2√3 : 3√2.

  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: D

Explanation:

From (1) we can tell that a side of E is longer than a side of F, since 3 x side E = 4 x side F. Hence (1) is sufficient to answer the question and the answer must be either A or D. From (2) we could work out the ratio of the lengths of the sides (there is no need to do this, but since we are dealing with regular plane figures the geometry is quite simple), and although we cannot get the actual lengths, we can see from the ratio whether one is bigger than the other. So the answer is D.

Record Performance

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

Read the MCQ statement: Is the length of a side of equilateral triangle E less than the length of a side of square F? The perimeter of E and the perimeter of F are equal. .... e F is 2√3 : 3√2. , 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. 25-4001.

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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