Question 298196
if X is the number of correct answers, Y the number of wrong answers, Z is the number of omitted questions then:


X + Y + Z = 26 --> (1)

And 

7 X - 3 Y = 76 --> (2)

Multiplying (1) by 3 then 3 X + 3 Y + 3 Z = 78 then summing it to (2) then

10 X + 3 Z = 154

since X and Z are integers then Z Must be 8 and X would be 13, the next possible solution for the above equation is 18 & 10 which is invalid (greater than the total number of questions)

So the number of correct answers is 13, number of wrong answers is 5 and the number of omitted questions is 8