Comprehension
Six web surfers M, N, O, P, X, and Y each had 30 stars which they distributed among four bloggers A, B, C, and D. The number of stars received by A and B from the six web surfers is shown in the figure below
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
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
Question: 1
What was the total number of stars received by D?
What was the total number of stars received by D?
Updated On: Nov 29, 2024
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Correct Answer: 45
Solution and Explanation
Given that the total number of stars received by each blogger is the same, and the total stars distributed by all surfers is \(6 × 30 = 180\), we know that each blogger received \(\frac {180}{4} = 45\) stars in total.
Hence, D must have received \(45\) stars.
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Question: 2
What was the number of stars received by D from Y?
What was the number of stars received by D from Y?
Updated On: Nov 29, 2024
- 1.1
- cannot be determined
- 3.5
- 4.0
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The Correct Option is C
Solution and Explanation
From the information provided, we know that D received more stars than C from Y. Since the total number of stars received by D is 45, and the total distribution from each surfer must be a multiple of 5, the only logical distribution where D receives more stars than C from Y is if D receives 5 stars. Therefore, D received 5 stars from Y.
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Question: 3
How many surfers distributed their stars among exactly 2 bloggers?
How many surfers distributed their stars among exactly 2 bloggers?
Updated On: Nov 29, 2024
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Correct Answer: 2
Solution and Explanation
From the fact that two surfers gave all their stars to a single blogger, we know that the remaining surfers must have distributed their stars among exactly two bloggers. Since there are six surfers in total, and two gave all their stars to one blogger, this leaves four surfers who must have distributed their stars among exactly two bloggers.
Hence, the correct answer is 2.
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Question: 4
Which of the following can be determined with certainty?
I. The number of stars received by C from M
II. The number of stars received by D from O
Which of the following can be determined with certainty?
I. The number of stars received by C from M
II. The number of stars received by D from O
I. The number of stars received by C from M
II. The number of stars received by D from O
Updated On: Nov 29, 2024
- Only I
- Neither I nor II
- Only II
- Both I and II
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The Correct Option is A
Solution and Explanation
I. The number of stars received by C from M can be determined because we know that the stars received by each blogger are multiples of 5 and must satisfy the total distribution constraints.
II. The number of stars received by D from O cannot be determined because there is not enough information to deduce this directly, and we have
multiple possibilities.
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