CAT Reasoning Ability Questions

Reasoning Ability Questions-Direction for next 3 CAT reasoning questions: Answer the reasoning ability questions based on the following information.

Pankaj has six friends, and during a certain vacation he met them at several dinners. He found that he dined with all six friends exactly one day; with every five of them of 2 days; with four of them of 3 days; with every three of them of 4 days; with every two of them of 5 days. Further, every friend was present at 8 dinners and every friend was absent at 8 dinners.

1. How many dinners did Pankaj have during the vacation?
a. 220
b. 173
c. 16
d. 12
e. 8.

2. How many dinners did Pankaj have alone during the vacation?
a. 6
b. 1
c. 7
d. 2
e. 4

3. When Pankaj had dinner with every three of them of 4 days and every two of them of 5 days, what was the minimum number of friends who had dinner twice in these 9 days?
a. 2
b. 4
c. 6
d. 8
e. 10.

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