A survey of 100 candidates with respect to their choice of ice cream flavours vanilla, chocolate and strawberryproduced the following information.
50 candidates like vanilla, 43 like chocolate, 28 like strawberry, 13 like vanilla and chocolate, 11 like chocolate and strawberry, 12 like strawberry and vanilla, and 5 like all the three flavours.
How many candidates like chocolate and strawberry but not vanilla?

Given: A survey of 100 candidates with respect to their choice of ice cream flavours vanilla, chocolate and strawberry produced the following information.

50 candidates like vanilla, 43 like chocolate, 28 like strawberry, 13 like vanilla and chocolate, 11 like chocolate and strawberry, 12 like strawberry and vanilla, and 5 like all the three flavours.

Total number of candidates = 100
Number of candidates who likes vanilla = 50
Number of candidates who like Chocolate = 43
Number of candidates who likes Strawberry = 28
Number of candidates who like all three flavors = 5
Number of candidates who likes vanilla and chocolate = 13

Number of candidates who only likes vanilla and chocolate but not strawberry = 13 - 5 = 8
Number of candidates who likes chocolate and strawberry = 11

Number of candidates who only likes chocolate and strawberry but not vanilla = 11 - 5 = 6
Number of candidates who likes strawberry and vanilla = 12

Number of candidates who only likes strawberry and vanilla but not chocolate = 12 - 5 =7

So,

As per Venn diagram,

6 candidates like chocolate and strawberry but not vanilla.

Thus, the correct answer is (d).