A figure shows a pattern where the number of triangles in successive rows is 1, 3, 5, 7... In a triangular arrangement with 6 rows, the total number of small triangles is:

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EEJ MAIN Aptitude QUESTION #10954

Question 1

A figure shows a pattern where the number of triangles in successive rows is 1, 3, 5, 7... In a triangular arrangement with 6 rows, the total number of small triangles is:

36✔️
49
30
25

Correct Answer Explanation

The total number of upward-pointing small triangles in a triangular grid with \(n\ rows:

Total upward triangles = \(n^2\

Total (including downward pointing): \(n^2\ up-triangles + triangles pointing down.

However for this specific pattern (rows with 1, 3, 5, 7... small upward triangles per row), the total for \(n\ rows = \(1+3+5+...+(2n-1) = n^2\

For 6 rows: \(6^2 = 36\ triangles.

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