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Quantitative - Mathematics - Word Problems:

Number System - All NUMBERS on the Tests

MCQ - 439-13206

Question:

If T is the set of all integers between 10 and 99 that are perfect squares, and S is the set of all integers between 10 and 99 that are perfect cubes, how many elements are common in T and S?

  1. 0
  2. 1
  3. 2
  4. 1
  5. 8

Correct Answer: B

Explanation:

If T is the set of all integers between 10 and 99 that are perfect squares, and S is the set of all integers between 10 and 99 that are perfect cubes, how many elements are common in T and S?

T = {16, 25, 36, 49, 64, 81} and S = {27, 64}

64 is the only element common.

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