1. **Problem 1:** Given that ก is the smallest natural number and from the image ก + ข + ก is asked.
Since ก is the smallest natural number, ก = 1.
We are given ข has a remainder 2 (เศษ 2) and ถ has remainder 2 (เศษ 2) but no exact values, so assuming ข = 2 and ก = 1.
Calculate ก + ข + ก = 1 + 2 + 1 = 4.
2. **Problem 2:** Find how many natural numbers from 1 to 100 do not contain the digit "9".
Step 1: Count numbers from 1 to 100 without digit 9.
Step 2: Consider two-digit numbers from 10 to 99.
- For the tens digit: can be 1 to 8 (8 options, excluding 9)
- For the units digit: can be 0 to 8 (9 options, excluding 9)
Step 3: Total two-digit numbers without 9 = $8 \times 9 = 72$.
Step 4: For one-digit numbers 1 to 8, all are allowed (8 numbers).
Step 5: Number 100 does not contain 9.
Step 6: Total numbers without digit 9 = $8 + 72 + 1 = 81$.
3. **Problem 3:** Given the operation \( \triangle \) defined by:
$$4 \triangle 2 = 4$$
$$8 \triangle 5 = 9$$
$$10 \triangle 4 = 36$$
$$19 \triangle 13 = 36$$
$$25 \triangle 18 = 49$$
Find $$16 \triangle 4$$.
Step 1: Look for a pattern.
Step 2: Check if \(a \triangle b = (a - b)^2\).
- For 4 △ 2: $(4-2)^2 = 2^2 = 4$ correct.
- For 8 △ 5: $(8-5)^2 = 3^2 = 9$ correct.
- For 10 △ 4: $(10-4)^2 = 6^2 = 36$ correct.
- For 19 △ 13: $(19-13)^2 = 6^2 = 36$ correct.
- For 25 △ 18: $(25-18)^2 = 7^2 = 49$ correct.
Step 3: Apply to 16 △ 4:
$$(16-4)^2 = 12^2 = 144$$
**Final answers:**
1) $4$
2) $81$
3) $144$
Multiple Questions 91C96E
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