If 0 ≤ x ≤ 4 and y < 12, which of the following cannot be the value of xу?

Question: If 0 ≤ x ≤ 4 and y < 12, which of the following cannot be the value of xy?

Solution:
Given 0 ≤ x ≤ 4 and y < 12

The maximum possible product occurs when x = 4 and y approaches 12
⇒ xy < 4 × 12 = 48

So xy can be any value less than 48, but cannot be 48 itself.

Checking options:
ক) 48 → Not possible
খ) 24 → Possible
গ) 6 → Possible
ঘ) - 2 → Possible (since y can be negative)

∴ The value that cannot be xy is 48

Correct Answer: ক) 48