# Which number does 1995 correspond to in this number pattern? [duplicate]

I saw this puzzle many moons ago and so I assumed it would already be on here somewhere. I have looked and not found, though, and so I present to you a puzzle that baffled me when first I saw it.

What number replaces the question mark in the last example and why?

3531 → 0
3597 → 1
3891 → 3
9397 → 2
3869 → 4
2128 → 2
3786 → 3
3506 → 2
2700 → 2
7212 → 0
7205 → 1
2990 → 3
9503 → 2
1057 → 1
1160 → 2

1995 → ?

• Good find. I couldn't find a duplicate when I looked but I believe you're right. Commented Mar 7, 2015 at 23:45

It is

2

You count the amount of

enclosed areas in the numbers

• That certainly didn't take long and this is the kind of elementary answer I expected. Commented Feb 9, 2015 at 14:02
• Not sure why the other answer is so much more popular. It's pretty much the same thing as this, but without making the connection with what you're actually counting. Commented Feb 23, 2015 at 19:51
• @glibdud The other answer is more mathy. The masses have spoken on which is regarded as more clever. This answer more accurately meets the intent of the question, though. Commented Feb 24, 2015 at 17:17

The answer provided by Mathias711 is correct, however there is an alternate and lengthier solution to this problem.

We can assign the number values....

Like from 3531 = 0 and 7212 = 0, we can say that the digits 3,5,1,7& 2 have NO VALUE

Using this information we can get the value of 9

As 3597 = 1, and the fact 3,5&7 have no value, we can say 9=1 (i.e 9 has a value of ONE)

Similarly we can figure out the values of all digits, however we don't need to as we already have enough information to get the answer....

1995= 2 (as 1&5 have no value and 9 has a value of ONE, hence two 9's will be 2)

• Excellent mathematical solution. This is the adult-level answer. Commented Feb 9, 2015 at 14:05
• +1 for a purely mathematical not-outside-the-box answer.
– dmg
Commented Feb 9, 2015 at 14:05
• Ironically, using this method, we still have no idea what value: 4444 would be ;) lol Commented Feb 9, 2015 at 14:24
• @Ditto But no one cares as it is not in the problem statement. Technically even with the original method, you could not be certain as 8, 6 and 9 have circle(ish) parts, while 4 is more like a triangular.
– dmg
Commented Feb 9, 2015 at 14:41
• @dmg Exactly!!! :P :) Commented Feb 12, 2015 at 13:25