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Logic Equations
7x7
Logic Equations 7x7
Use the 7x7 grid to solve each logic puzzle.
B + E = A
A + C = D
C + F = B
Solve
A + G = F
A + C = B
F + G = C
D + F = E
Solve
B + E = F + 2
C + E = D + 6
D + G = C + 5
B + G = D + 5
Solve
B + C = A + 6
D + G = B + 1
C + E = F + 7
E + G = B + 4
Solve
E = C + 6
G = D + 2
F = A + 2
G = B + 4
Solve
G = E + 1
D = C + 1
A = B + 6
C = G + 1
E = F + 1
Solve
B = 4D
A = 3C
4E = 3B
G ≠ 5
Solve
2C = D
2A = 3B
A = 2F
E ≠ 5
Solve
3E = C
G = 2F
D = 3F
B > A
Solve
4A = 3D
4B = 2D
G > B
3B = C
A > E
G > F
Solve
E + G = D + F
G ≠ 5
B + E = D + G
C + D = A + B
G ≠ 6
A ≠ 5
A ≠ 7
Solve
C + F = E + G
A + D = C + G
D + F = B + E
G ≠ 2
E + F = C + D
Solve
2C = B + F
B > F
2A = B + E
E > A
2G = A + B
Solve
2F = A + D
2E = A + C
2E = B + D
2A = E + F
B > E
Solve
A + E ≤ 3
F + G ≤ 8
B + G = C
B + E = D
Solve
D + G = C
B + D = A
B + F ≤ 3
E + F ≤ 7
A + D ≤ 8
Solve
C + D + F = 10
F + G = 11
A + C + F = 9
E + G = 8
Solve
A + F = 10
B + G = 10
B + C = 7
B + F = 9
A + C + E = 10
Solve
if C < 5 then A > 7
if A + E ≤ 12 then D ≤ 4
if A ≤ 4 then E + F ≤ 9
if G ≥ 4 then C < 5
if F < 4 then E ≤ 5
if G ≤ 2 then D ≠ 1
if C + D ≤ 10 then A + F ≤ 4
if C ≠ 4 then A ≥ 2
if G ≥ 1 then F ≤ 2
if E + F ≤ 11 then A < 3
if A + G ≤ 7 then B ≠ 6
Solve
if F < 6 then D > 4
if F ≤ 4 then E + G ≤ 3
if B < 7 then C + D ≤ 3
if A ≠ 2 then D < 3
if C ≤ 6 then B + G ≤ 7
if E + G ≤ 8 then A ≤ 5
if D ≤ 1 then B + E ≤ 7
if G ≠ 4 then C + F ≤ 4
if D ≤ 4 then E ≠ 6
if C + D ≤ 5 then F ≤ 6
if D < 3 then A > 5
Solve
D + E ≤ 3 if and only if F ≤ 2
E + G ≤ 8 if and only if C < 1
D + F ≤ 12 if and only if B < 6
B + D ≤ 9 if and only if C + G ≤ 12
G ≠ 3 if and only if B < 6
B + D ≤ 9 if and only if A + F ≤ 12
D + E ≤ 6 if and only if B ≠ 7
A > 1 if and only if B > 4
C ≠ 4 if and only if F ≤ 4
C ≤ 7 if and only if A > 2
E < 3 if and only if B ≥ 2
F < 4 if and only if C < 1
Solve
A + B ≤ 12 if and only if F + G ≤ 8
A > 2 if and only if C + E ≤ 5
F ≥ 6 if and only if A ≤ 5
C ≥ 3 if and only if A + B ≤ 12
F ≤ 7 if and only if C > 5
B + D ≤ 7 if and only if G < 6
A ≠ 1 if and only if B ≠ 2
D + E ≤ 8 if and only if C + G ≤ 13
E ≠ 4 if and only if C + G ≤ 7
Solve
C = DF
F = G + 2
B + D = A + G
Solve
A = B + E + G
EG + F = B + C
C = B + F
A = AG
Solve
DE = 3C + E + F
B + D = C + 8
CE + F = A
Solve
G ≥ 2
D + F = 6
C + EF + E + F = AE + AG + BG + G
A + D ≥ C
G < 4
Solve
D + 6 = G
B + E ≠ 8
B + E = C
F = A + B
AB > C
Solve
CD = B
C + F = B + G
F > B
C + F + G = E + 9
Solve
5
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