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Diagram-Based Questions Question 7 – answer, explanation & discussion

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Question 7 Back to Exercise

P, Q and R are three consecutive odd numbers. The sum of their squares is 371.

Three consecutive odd numbers
???PQR

What is R?

  • A 11
  • B 15
  • C 9
  • D 13 Correct
Correct Answer: Option D

Let Q = n: (n − 2)² + n² + (n + 2)² = 3n² + 8 = 371

n² = 121 → n = 11

R = 13 (the numbers are 9, 11, 13)

Trap: 11 is the middle number.

Answer: 13

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