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We will be solving interesting sets as a part of this series LRDI of the Day. I will be posting a video solution by the end of the day. You can keep a track of all the sets by clicking here: LRDI of the Day

On the 3rd of November 2017, WhatsApp suddenly stopped working causing a lot of commotion among a lot of users. Especially in case of Elliot, Angela, Tyrell, Darlene, Joanna and a certain Mr. Robot who hacked their way through a network provider to gain access to free SMSes. The data regarding the SMSes sent within this group is known. The first chart tells us the number of SMSes that were received by Mr. Robot and the second chart gives us the total amount of SMSes that were sent by the other five people.

The total number of SMSes received by Mr. Robot is 3000 and the total number of SMSes sent by Elliot, Angela, Tyrell, Darlene and Joanna is X.

1. What is the least possible value of X?

2. Who sent the least percentage of his/her total SMSes to Mr. Robot?

a. Angela

b. Tyrell

c. Darlene

d. Joanna

3. If it is known that at least 25% of the SMSes sent by Angela were to Mr. Robot and at most 40% of the SMSes sent by Joanna are to Mr. Robot then what is the maximum possible number of persons who have sent more than 80% of their SMSes to Mr. Robot?

4. Which of the following can be the value of p, if p% of the SMSes sent by Darlene are to Mr. Robot? (Use the data from the previous question)

a. 30

b. 40

c. 50

d. None of these

The solution:

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