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## Bingo Card 2

Logic puzzles require you to think. You will have to be logical in your reasoning.

 Puzzle ID: #44170 Fun: (2.5) Difficulty: (2.64) Category: Logic Submitted By: cnmne

You are given a stack of bingo cards. Your task is to find a specific card. Given the following clues, what is the number arrangement of that card?

Columns, left to right, are: B (contains numbers 1 through 15), I (contains numbers 16 through 30), N (contains numbers 31 through 45), G (contains numbers 46 through 60), O (contains numbers 61 through 75). Rows, top to bottom, are: 1, 2, 3, 4, 5. An example of coordinate nomenclature: B1 identifies column B row 1. N3 is a free space (contains no number). No number appears more than once.

1) Row 1: the tens digits are all different.
2) Row 2: the numbers are even.
3) Row 4: the sum of the five numbers is 178.
4) Row 5: the numbers are prime.
5) Column B: the sum of the five numbers is 60.
6) Column I: two of the numbers are greater than 19.
7) Column O: the numbers are in increasing equally-spaced order, from top to bottom.
8) The product of B3 and O3 is between 600 and 700.
9) The sum of I1 and G5 equals the sum of G1 and I5.
10) N1 is midway between I4 and G4.
11) N5 is midway between I2 and G2.
12) I3 is midway between B1 and N1, and G3 is midway between N1 and O1.
13) There are five numbers that are divisible by 11; only one per row and one per column.
14) There is one triangle number in each column.

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 phrebh Mar 03, 2009 It took me a couple of days to do this, but it was entertaining. precious1026 Mar 03, 2009 It would have to take several days to figure this out, the logic of it all. I myself cannot compute this type of mathematical logic to paper, but to those of you who can, good luck. good work. javaguru Mar 03, 2009 I did this one when it was in the review queue. It took over twenty minutes, but I did finally get it. Very nicely done! tonjawithaj Apr 28, 2009 Am I missing something? The first clue says all ten digits are different...that would negate the clue that says that each row and column contains a number divisible by 11... The answer shows that this is not the case...help! tonjawithaj Apr 28, 2009 never mind...yep, I can read! jhosek Jul 07, 2009 What is a triangle number? javaguru Jul 08, 2009 A triangle number is the number of items it takes to make a triangle: . o = 1 . o .o o = 3 . o . o o . o o o = 6 ... 10, 15, 21, 28, 36, 45, 55, 66, ...