ISEE Quantitative Comparisons Question 162: Answer and Explanation

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Question: 162

3.

  • A. The quantity in Column A is greater.
  • B. The quantity in Column B is greater.
  • C. The two quantities are equal.
  • D. The relationship cannot be determined from the information given.

Correct Answer: A

Explanation:

A

A negative exponent tells you to write the reciprocal of the base and bring the exponent to the denominator as a positive value. Thus, the value of Column A is , and the value of Column B is . When you divide 1 by a fraction, the fraction flips and comes to the numerator. Thus, the value of Column A is 122, and the value of Column A is . Raising a number to a power of means taking the square root of that number. While you may not know the exact value of , it is less than 122 (144).

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