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2023 PEA Q26

Monkey at (0,0)(0,0) in R2\mathbb R^2 jumps a distance of 55 to an integer point. Number of possible end positions?

The available source text does not include a full option block for this item, so the question is marked needsReview.
Reveal answer and solution

Answer

A

Solution

  1. 1

    Need integers (a,b)(a,b) with a2+b2=25a^2+b^2=25. Solutions:

  2. 2
    (±5,0),(0,±5),(±3,±4),(±4,±3). (\pm 5,0),(0,\pm 5),(\pm 3,\pm 4),(\pm 4,\pm 3).
  3. 3

    Count: 4+4+4=124+4+4=12.

Answer structure / marking notes

Needs review: source TeX does not provide a full four-option MCQ block.

Content note

Imported from public/resources/isi/msqe/solutions/pea/2023/ISI_MSQE_PEA_2023_Solutions.tex. Question wording is retained from the available local TeX source; incomplete option blocks or ambiguous source status are flagged for review.