CAT 2024 Set-1 | Data Interpretation and Logical Reasoning | Question: 8

Question

Six web surfers $\mathrm{M}, \mathrm{N}, \mathrm{O}, \mathrm{P}, \mathrm{X}$, and $\mathrm{Y}$ each had $30$ stars which they distributed among four bloggers $\text{A, B, C}$, and $\text{D}$. The number of stars received by $\text{A}$ and $\text{B}$ 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 $\text{M}$.
4. Two surfers gave all their stars to a single blogger.
5. $\text{D}$ received more stars than $\text{C}$ from $\text{Y}$.

How many surfers distributed their stars among exactly $2$ bloggers?