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Q #21
:

CAT Set Theory: Sets and Unions


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A shop sells three type of products i.e. Pen, Pencil & Notebook. On a survey for checking the sales of each product of the shop he found that the no. of people who bought only pen, only pencil, & only notebook are in A.P. in no particular order. Similarly, the number of people who bought exactly two of the three products are in A.P. too.
It was also found that the no. of people who bought all the products is 1/20thth of the number of people who bought pencil only which in turn is equal to half of the number of people who bought notebook only. The number of people that bought both pen & pencil is 15, whereas that of those who bought pencil & notebook is 19. The number of people who bought notebook are 120, which is more than the no. of people who bought pen (which is a 2 digit no above 50).

,

What is the total no people that visits the shop?

  1. 220
  2. 231
  3. 233
  4. 240

How many people bought both pen and notebook?

  1. 15
  2. 17
  3. 19
  4. 21

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Q #22
:

CAT Set Theory: Sets and Unions


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In a survey it was found that, the number of people that like only Pepsi, only Coke, both Coke and Pepsi and neither of them are 2n, 3n, 69/n, 69/3n respectively. What is the no of people who drink coke?


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Q #23
:

IPMAT 2019 Question Paper - IPM Indore Quants,Set Theory


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In a school 70% of the boys like cricket and 50% like football. If x% like both Cricket and Football, then


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Q #24
:

IPMAT 2019 Question Paper - IPM Indore Quants,Set Theory


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In a class of 65 students 40 like cricket, 25 like football and 20 like hockey. 10 students like both cricket and football, 8 students like football and hockey and 5 students like all three sports. If all the students like at least one sport, then the number of students who like both cricket and hockey is


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Q #25
:

CAT 2018 Question Paper Slot 1 - Set Theory


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If among 200 students, 105 like pizza and 134 like burger, then the number of students who like only burger can possibly be


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