Which of the following statements is/are true? (i) Grayscale images are…

A digital image is called monochrome (or grayscale) when each pixel stores a single achromatic intensity value instead of separate colour channels — brightness alone, with no hue information. Separately, for an n-bit-per-pixel encoding, the number of distinct levels that can be represented is 2n, since each of the n bits independently takes the value 0 or 1.

Applying this to statement (i): a grayscale image stores only one intensity channel per pixel and carries no colour data, so it satisfies the definition of a monochrome image — statement (i) holds. Applying it to statement (ii): a standard grayscale image uses 8 bits per pixel, so it can represent 28 = 256 distinct grey levels (0 for black through 255 for white) — statement (ii) holds as well.

As an independent check, 28 can be verified directly by repeated doubling: 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 256, confirming the level count. Rejecting either claim would require either a definition of monochrome that excludes single-channel grayscale data (not the standard usage) or a bit-depth-to-level relationship other than 2n (not how binary encoding works) — neither substitution applies here.

Since both underlying claims hold independently, the option affirming both (i) and (ii) is the correct choice.