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","answer":"The quantities a and b are both between 0 and 1. For any number between 0 and 1, its square will be less than the number itself. Hence, a^2 < a and b^2 < b. Therefore, a^2 + b^2 < a + b. This means that the quantity in Column A, a + b, is greater than the quantity in Column B, a^2 + b^2.","exam_id":"gre-section-2-quantitative","o_id":"125846-exam-gre-section-2-quantitative-topic-1-question-17","o_answer_long":"

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Any fraction between 0 and 1 is greater than the square of that fraction. Thus,a +b must be greater than

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The quantity in Column A is greater;

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The quantity in Column B is greater;

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The quantities are equal;

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The relationship cannot be determined from the information given.

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Any fraction between 0 and 1 is greater than the square of that fraction. Thus,a +b must be greater than

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