GATE DA 2025 | Question 3

MCQ · 1 mark · −0.33

A \(4 \times 4\) digital image has pixel intensities (\(U\)) as shown in the figure. The number of pixels with \(U \le 4\) is:

0102
4733
5544
6732
  1. Option A: 3
  2. Option B: 8
  3. Option C: 11 (correct)
  4. Option D: 9

Answer

(C)

Explanation

The condition \(U \le 4\) includes 4, so count every pixel with value 0, 1, 2, 3 or 4, row by row:

  • Row 1 (0, 1, 0, 2): all 4 pixels
  • Row 2 (4, 7, 3, 3): 3 pixels
  • Row 3 (5, 5, 4, 4): 2 pixels
  • Row 4 (6, 7, 3, 2): 2 pixels

The total is \(4 + 3 + 2 + 2 = 11\). As a check, only five pixels are above 4 (5, 5, 6, 7, 7), and \(16 - 5 = 11\). Leaving out the three pixels equal to 4 would give 8, option B.

Answer: C