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Only handful of days are left for CAT. When are we supposed to get the DILR Sectionals solutions ??

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In a colony of 50 members, 34 like cricket, 26 like football and 16 like hockey. It is known that at least one member likes only football, only cricket and only hockey. Similarly, at least one member likes only cricket and football but not hockey, both cricket and hockey but not football, both football and hockey but not cricket. Further, at least one member likes all the three games. Each member likes atleast one sport.

Q5. What can the maximum number of members who like exactly two games?

Q6.

What can be the maximum number of members who like all the three games?

Q7. What can be the maximum

members who like

sum

of the number of members who like cricket and hockey only and number of football and hockey only?

80: 17 : : ? :13: : 185 :38

café is open for the public in 3 shifts (i.e., morning, afternoon, and evening) and each shift is 1 hour. It is known that a person can visit the café in more than one shift. On a particular day, the number of people visiting the café only in the morning is half of the number of people visiting the café only in the afternoon. Ratio between the number of people visiting the café only in the afternoon to the number of people visiting the café only in the evening is 3:16. A Number of people who visited the café in two shifts is four times the number of people who visited the café in three shifts which in turn equals to 25% of the number of people visiting the café only in the evening. The ratio of number of people who visited the café only in morning and afternoon, only in afternoon and evening and only in morning and evening is 4: 9:11.

Shivram

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18:4::36:16::27:?