Query about question "The table above shows the scoring algorithm..." [364]vvvv

https://www.gregmat.com/problems/quant?problem=section-1-and-2-have-30-questions


assuming 12 points deducted leaving score at exactly 90%, secion one gives a clue that 4 questions are wrong, but section 2 has 1 points deducted if wrong, which means that there is a possibility that more than 4 questions are wrong… can someone validate this?

Section 1

4 wrong = 4* (-3) = -12

26 correct = 26*1 = 26

Assuming full scores for sections 2 and 3, ie 90 points.

(90 + 26 - 12) = 104 not 108

Section 2

Case 1

This is where Ahmed can lose the least points, aka the worst case scenario.

3 wrongs = 3*(-1) = -3

27 correct = 27*2 = 54

Total = 54 - 3 = 51

Assuming full marks for Section 1 and 3,

30 + 51 + 30 = 111

Case 2

4 wrongs = - 4

26 correct = 26*2 = 52

Total = 52 - 4 = 48

Assuming full section 1 and 3 marks,

30 + 48 + 30 = 108

In this scenario, Ahmed gets exactly 90%.

When Ahmed got 4 wrongs on Section 2 (where he can lose the least points), he got exactly 90%.

Since question said he scored higher than 90%, he must gotten less than 4 questions wrong.