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Numerical Logic (Posted on 2013-05-06) Difficulty: 3 of 5
 
    a    b    c    d    e    f
  +----+----+----+----+----+----+
A |    |    |    |    |    |    |18
  |    |    |    |    |    |    |
  +----+----+----+----+----+----+
B |    |    |    |    |    |    |17
  |    |    |    |    |    |    |
  +----+----+----+----+----+----+
C |    |    |    |    |    |    |22
  |    |    |    |    |    |    |
  +----+----+----+----+----+----+
D |    |    |    |    |    |    |22
  |    |    |    |    |    |    |
  +----+----+----+----+----+----+
E |    |    |    |    |    |    |19
  |    |    |    |    |    |    |
  +----+----+----+----+----+----+
F |    |    |    |    |    |    |28
  |    |    |    |    |    |    |
  +----+----+----+----+----+----+
    18   23   19   18   22   26
The diagram above should contain the numbers one to six, six times each; the numbers next to the grid itself are the row and column number totals. Using the following 12 clues complete the diagram. (NOP means no other pairs of numbers.)

ACROSS

A: Contains two 1's, NOP, no 4's and the two numbers in cells Ae and Af total 11.

B: Contains two 2's, no 6's and NOP.

C: Contains two 4's, two adjacent 3's and the two numbers in cells Cc and Cd total 5.

D: Contains two 1's and two 5's.

E: Contains two 3's, NOP and no 5's.

F: Contains two 5's, two 6's, no 1's or 3's, the numbers in cells Fd to Ff run consecutively, and the numbers in cells Fa and Fb total 7.

DOWN

a: Contains two 1's and no 4's.

b: Contains two 4's, NOP, and the two numbers in cells Ab and Bb total 7.

c: Does not contain a 1, 3 or 4. Contains four 2's, three of which are adjacent. The two numbers in cells Ec and Fc total 8.

d: Contains two adjacent 1's, two 3's and NOP.

e: Contains two 5's, NOP and no 4's.

f: Contains three 4's but no 1's or 2's.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
SolutionFirst pencil and paper, then computerCharlie2013-05-06 17:10:00
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