This is a great question. At first I answered E but upon thinking I've realized that since I misinterpret the question that was why I got it wrong.
The question asked for does X/8 has MORE THAN 3 non-zero decimals and I interpreted it as does X/8 has ONLY 3 non-zero decimals. My key takeaway is read the damn question carefully.
First statement:x is a digit. This means X could range from 0 until 9.
From 0 - 8, there are LESS THAN OR EQUAL to 3 non-zero digit numbers.
Quote:
0.125, 0.25, 0.375, 0.5, 0.875, 1
On the other hand 9 would result in 1.125.
Therefore the first statement does not give us enough information to determine whether the number of non-digit decimals is more than 3.
Second statement:X does not equal to 9. This statement absolutely tells us nothing. X can be 1 and it will be 3 and X can be 9 and it will be more than 3.
Combining statements:Since the statement forces us to investigate only the numbers 0 - 8 and not 9, we can conclude that the number of non-zero digits will not GO BEYOND 3.
Great question!!
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