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EEJ MAIN Aptitude QUESTION #11017
Question 1
A $5 \times 5$ grid of points is given. How many distinct squares can be formed with vertices at these grid points?
  • $50$✔️
  • $55$
  • $60$
  • $65$
Correct Answer Explanation
Axis-aligned squares: $16+9+4+1 = 30$. Tilted squares (side $\sqrt{2}$): $9$; (side $\sqrt{5}$): $8$; (side $\sqrt{8}$): $2$; (side $\sqrt{10}$): $1$. Total tilted: $20$. Grand total: $30 + 20 = 50$.