Question

In a survey of political preference, 87% of the participants were in favor of at least one of the candidates: 1, 2, and 3. 50% supported candidate 1, 29% supported candidate 2, and 37% supported candidate 3. If 4% of those who participated supported all three candidates, what percentage of those who participated supported more than 1 candidate?

• A. 25
• B. 29
• C. 21
• D. 17

Answer 1

The correct option is A 25

a. 25
b. 29
c. 21
d. 17

Option (a)


Candidate 1 → a+d+e+4 = 50
→ a+d+e = 46 --(1)
Candidate 2 → b+d+f+4 = 29
→ b+d+f = 25 --(2)
Candidate 3 → c+e+f+4 = 37
→ c+e+f = 33 --(3)
Also, a+b+c+d+e+f = 83% (87% supported at least one and 4% supported all 3)
Adding (1), (2), and (3) → a+b+c+2(d+e+f) = 104
→ d+e+f = 21%
People who supported more than 1 candidate = d+e+f+4 = 25%