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Square Roots & Cube Roots · Discussion forum

Diagram-Based Questions Question 15 – answer, explanation & discussion

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Question 15 Back to Exercise

The table gives the last digit of a square for each last digit of the number.

Number ends in01 or 92 or 83 or 74 or 65
Square ends in014965

Which one of these numbers can be a perfect square?

  • A 8,463
  • B 9,127
  • C 6,858
  • D 7,744 Correct
Correct Answer: Option D

Squares end only in 0, 1, 4, 5, 6 or 9

8,463 ends in 3, 9,127 in 7, 6,858 in 8 – all impossible

7,744 = 88² ✓

Trap: ending in 8 is ruled out by the table.

Answer: 7,744

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