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CAT 2021 Question Paper | DILR Slot 1

CAT Previous Year Paper | CAT DILR Questions | Question 10

CAT 2021 Quant was dominated by Arithmetic followed by Algebra. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Amudha, Bharatan, Chandran, Dhinesh, Ezhil, Fani and Gowtham are seven people in a town. Any pair of them could either be strangers, acquaintances, or friends. All relationships are mutual. For example, if Amudha is a friend of Bharatan, then Bharatan is also a friend of Amudha. Similarly, if Amudha is a stranger to Bharatan, then Bharatan is also a stranger to Amudha.

Partial information about the number of friends, acquaintances, and strangers of each of these people among them is given in the table below.

No. of Friends No. of Acquaintances No. of Strangers
Amudha 1 4
Bharatan
Chandran 1
Dhinesh 2
Ezhil 1
Fani 1
Gowtham 3 2

The following additional facts are alsoknown.
1. Amudha, Bharatan, and Chandran are mutual strangers.
2.Amudha, Dhinesh, and Fani are Ezil's friends.
3. Chandran and Gowtham are friends.
4. Every friend of Amudha is an acquaintance of Bharatan, and every acquaintance of Bharatan is a friend of Amudha.
5. Every friend of Bharatan is an acquaintance of Amudha, and every acquaintance of Amudha is a friend of Bharatan.

Question 10 : How many people are either a friend or a friend-of-a-friend of Ezhil?


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Explanatory Answer

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The question is " How many people are either a friend or a friend-of-a-friend of Ezhil? "

Hence, the answer is '4'

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