The reason people can't find the right answer is that they are trying to skip steps because we are so used to calculators. If you write it in steps, it is easy to see what the answer is:
Q: 40 + 40 x 0 + 1 =?
We use BODMAS, so...
Step 1: Are there any Brackets? NO
Step 2: Are there any Orders? NO
Step 3: Are there any D*ivisions? NO
STEP 4: Are there any Multiplications? YES
Step 5: So do the Multiplication, and rewrite the question:
The x sign has two numbers either side of it, so they are the ones you use.
40x0=0
Step 6: Rewrite: 40 + 0 + 1=?
Step 7: Are there any more Multiplications? NO
Step 8: Are there any Additions? YES
Step 9: So do the first Addition and rewrite the question:
The first + sign has two numbers either side of it, so they are the ones you use.
40+0=40
Step 10: Rewrite: 40 + 1=?
Step 11: Are there any more Additions? YES
Step 12: So do the next Addition and rewrite the question:
The + sign has two numbers either side of it, so use them.
40 + 1=41
Step 13: Are there any more Additions? NO
Step 14: Are there any Subtractions? NO
Therefore your answer was reached at Step 12 and is 41.