Question Details

The following additional facts are known regarding the number of stars received by the bloggers from the surfers.


1. The numbers of stars received by the bloggers from the surfers were all multiples of 5 (including 0).
2. The total numbers of stars received by the bloggers were the same.
3. Each blogger received a different number of stars from M.
4. Two surfers gave all their stars to a single blogger.
5. D received more stars than C from Y.


What was the total number of stars received by D?

Options

A

45

B

65

C

74

D

56

Show Answer

Correct Answer :

Option A

45

Solution :

The correct answer is 45.

Step-by-step Explanation:

1. Analysis of the Graph and Surfer Data:
From the provided image, we can identify the following facts:
• There are six web surfers: M, N, O, P, X, and Y.
• There are four bloggers: A, B, C, and D.
• Each web surfer has a total of 30 stars to distribute among the four bloggers.

From the bar chart titled "No. of stars received by Bloggers A and B", we can observe the stars received by A and B from each surfer:
• Surfer M: 10 stars to A, 0 stars to B
• Surfer N: 25 stars to A, 0 stars to B
• Surfer O: 0 stars to A, 0 stars to B
• Surfer P: 5 stars to A, 25 stars to B
• Surfer X: 0 stars to A, 0 stars to B
• Surfer Y: 10 stars to A, 20 stars to B

2. Calculation of Total Stars:
Since each of the 6 surfers has 30 stars, the total number of stars distributed by all surfers to all bloggers is:

Total Stars = 6 × 30 = 180

3. Distribution of Stars to Each Blogger:
According to Fact 2: "The total numbers of stars received by the bloggers were the same."
Since there are 4 bloggers (A, B, C, and D) and the total number of stars is 180, the number of stars received by each blogger must be equal.
Let T be the total number of stars received by each blogger.

4 × T = 180

T = 180 4 = 45

Therefore, each blogger, including blogger D, received a total of 45 stars.

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