Numeureka
Test Information:
Numeureka is a high-range numerical IQ test comprising 40 items, each worth one point. Item 38 has two parts, each worth half a point.
To solve these items, you need:
• An ability to recognise the patterns therein, discovering the strictest and simplest rules.
• Familiarity with digits and arithmetic.
Send your solutions to nilxsubmissions@gmail.com. Please include a scan of a photo ID showing your name, age, and country of residence, along with any scores you have from other high-range tests. Following this, your submission will be graded free of charge, and you will receive a score report within a few days at most.
You can make as many submissions as you like, but only the first two will be considered official.
Items are ordered very roughly by ascending difficulty.
When an item asks you to explain, you MUST provide an explanation for your solution. If you do not, you will get no point, regardless of whether your solution is correct.
The test items:
1) 123, 234, 456, 789, 1233, ?
2) 1, 31, 531, 7531, ?
3) 96, 42, 34, 22, ?, ?
4) /(358241): 0.6, 0.625, ?, ?, 4
5) 0, 23, 464, 6969, 92929, 115115, ?, ?
6) 1202, 6230, 1234, 5204, ?, 2674, ?, 9728
7) 541, 413, 14-3, 413, 13-2, ?, 14-3, ?, -34-7, ?
8) [5][6][7][8][9][10][11][12][13][14][15]: 11111, 33, 1111111, 44, ?, 55, ?, 66, ?, ?, 555
9) .^^(!), ..^^^(!!!!!!!!), …^^^^(!!!!!!!!(!)), ….^^^^^(!((!!(!!!!)))), ?, ?, ?
10) 3405671258: 3405671258, ?, 71888, ?, 1823, ?, ?, 2813, ?, 41
11) 6, 222, 444444, 28, ?, ?, 024, ?
12) 0, 123456789, 2468101, 369121518212427, ?, ?, ?, 71421283542495663, ?, 91827364554637281
13) -.-, 26, --., ?, .--, 23, -…-, ?, --…, 4140, …--, ?
14) 12345, 12345, 13524, 12345, 15432, ?
15) 1, 512, ?, ?, 18125, ?, ?, 12518, ?, 1000
16) 16, 224, 354, 416, 50, 616, 78, 848, ?
17) [34, 45, 56, 64, 79, 94]: 456, 56, 678, 785678, ?, ?
18) 456, 8312536, 12.734, 1162775.3548, ?, ?, -51.952.74
19) 16(1, 279936), 27(256, 78125), 38(2187, 1), 49(?, ?)
20) 129, 243, 3627, 481.5, 6054, 725.(142857), ?, ?, ?, 120X
21) 0149, 16, 25, 36, 49, 6, ?, ?, 0012, ?, ?, ?, ?, 225
22) 11826•11826, 3678•3678, 5116•5116, ?, ?, ?, 111•111, 11•11, 1•1
23) 102132435496(11)3: 1, 03, 000000005, 0003.503.5, 030033, ?, 707
24] …, .(…..), .(…..), ., ., ., (…….(…..)), (……(…..)), (…….(…..)), (…….(…..)), ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?
Explain.
25) 123456789, 02356789, 03478, 0257, ?, 7, ?
26) 135792468, 642975313, 135429753, ?
27) 1232549, 369413811, 60671325, ?
28) [10]6[11]4937852: 106114937852, 6114937852106, 1149, 49378, (937852106114), ?, ?, ?, ?, ?
29) 163452789, 125436789, 123654789, 123496785, 123756489, ?
30) 1, ?, 369151066, ?, 5, 612739101, 71, 8, 918109919, 1020, ?, ?
31) 1{6}, 1176498{6498235}, a{b}, 823cd, 240, b, c{d}, 35, 9823, -, 6
a = ?, b = ?, c = ?, d = ?
Explain.
32) 24579(10), 16, 38, 2457, 6, ?, ?, X
Explain.
33) 29, 12, 2345678, 234567, 345634567, ?, ?, 455, 5
Explain.
34) 0, 21, ?, ?, ?, ?, 28, ?, 8, 20.(3), 0
35) 123456, 357911, 1149046114, ?, 25332537, 79057
36) 400, 404, 413, 414, 415, 422, 426, 428, 431, ?, ?, ?, ?, ?, 500
37) 2, 36, 512, 0966, 16807, 096156, ?, ?, ?
38a) 164795328: 22, 60, 81, 47, 93, 100, ?
38b) 164795328: 92, 79, 55, 50, 22, 95, ?
39) [123456789(10)….], 1, 1, 12, ?, ?, ?, ?, 12
Explain.
40) 49289, 64, 81, 1, |, 1, 112144196116812601372150416561, 11214419611681260137215041, ?
Explain.