CAT Introduction to Venn Diagrams - Practice Questions & MCQ

Directions for question: In a group of 300 families in a colony of Dharavi, each family likes at least one dish among Pao Bhaji, Vada Pao, and Misal Pao. 160 families like Pao Bhaji and 140 families like Vada Pao.
Question: If the number of families who like Misal Pao is 180, then what is the maximum possible number of families who like only Pao Bhaji?

Directions for question: In a group of 300 families in a colony of Dharavi, each family likes at least one dish among Pao Bhaji, Vada Pao, and Misal Pao. 160 families like Pao Bhaji and 140 families like Vada Pao.
Question: If the number of families who like all three dishes is 80, then what is the minimum possible number of families who like only Misal Pao?

Directions for question: Read the information below and answer the following question.
At the 44th Chess Olympiad, 2022, being held at Mamallapuram, the number of participants who preferred an early morning jog to keep fit was twice the number of participants who preferred only to go to the gym to do so. 344 participants preferred both. The participants who preferred neither were half the number of participants who preferred only an early morning jog. 1720 chess players participated in the Olympiad.

Question: How many participants at the 44th Chess Olympiad preferred at most one among an early morning jog or the gym to keep fit?

Directions for question: About eighty meters inside Gate No. 4 of the Jadavpur University Campus was the iconic ‘Milan Da’s Canteen’, the oldest out of the eight canteens on the campus, catering to students, researchers, faculties, staff, and even ex-students of the university for decades since the ’60s, especially for the engineering and art departments. Milan Da, the owner, was quite an innovative chef and churned out tasty, innovative delicacies with equally innovative names, so popular and iconic, that even NRI ex-students on a visit to Kolkata would line up to savour them.
Milan Da’s wife, the ‘Boudi’ (sister-in-law in Bengali) to all – young or old, student or faculty – handled the cash and had a memory and calculation prowess that was extraordinary. She could exactly remember who ordered what at what time of the day and how much dues were carried forward for each customer.
One month of a particular year she decided to check out which of the snack items of the canteen were being preferred more and hence started to keep a note of what all the customers – students, faculties, and staff of the engineering and art department – were ordering during snack times. After one month of continuous watch, she come to the following conclusions:
a) Three of the snack items were the clear best-sellers :

• Chicken stuffed bread pakora named ‘Dhoper Chop’ or ‘a chop of lies’,  
• Very spicy vegetable chops named ‘Bom’ or ‘a bomb’, and
• Chick-pea curry with shredded boiled egg and sprinkled with puffed rice named ‘Ghorar Dim’ or ‘the egg of a horse’.b) The number of customers preferring all three snack items was the same as that preferring none of the three

c) The number of residents preferring any two of the three was the same as those preferring any other two, which in turn was the same as those preferring none of the three.
d) The number of customers preferring only the ‘Dhoper Chop’ was the same as those preferring only the ‘Ghorar Dim’, and each was twice the number of customers preferring only the ‘Bom’.
e) Half the number of customers who preferred the ‘Bom’ preferred at least one of either the ‘Dhoper Chop’ or the ‘Ghorar Dim’.
Question: What percentage of the customers preferred to have ‘Dhoper Chop’ or ‘Ghorar Dim’, but not a ‘Bom’?

Directions for question: About eighty meters inside Gate No. 4 of the Jadavpur University Campus was the iconic ‘Milan Da’s Canteen’, the oldest out of the eight canteens on the campus, catering to students, researchers, faculties, staff, and even ex-students of the university for decades since the ’60s, especially for the engineering and art departments. Milan Da, the owner, was quite an innovative chef and churned out tasty, innovative delicacies with equally innovative names, so popular and iconic, that even NRI ex-students on a visit to Kolkata would line up to savour them.
Milan Da’s wife, the ‘Boudi’ (sister-in-law in Bengali) to all – young or old, student or faculty – handled the cash and had a memory and calculation prowess that was extraordinary. She could exactly remember who ordered what at what time of the day and how much dues were carried forward for each customer.
One month of a particular year she decided to check out which of the snack items of the canteen were being preferred more and hence started to keep a note of what all the customers – students, faculties, and staff of the engineering and art department – were ordering during snack times. After one month of continuous watch, she come to the following conclusions:
a) Three of the snack items were the clear best-sellers:

• Chicken stuffed bread pakora named ‘Dhoper Chop’ or ‘a chop of lies’,  
• Very spicy vegetable chops named ‘Bom’ or ‘a bomb’, and
• Chick-pea curry with shredded boiled egg and sprinkled with puffed rice named ‘Ghorar Dim’ or ‘the egg of a horse’. 

b) The number of customers preferring all three snack items was the same as that preferring none of the three
c) The number of residents preferring any two of the three was the same as those preferring any other two, which in turn was the same as those preferring none of the three
d) The number of customers preferring only the ‘Dhoper Chop’ was the same as those preferring only the ‘Ghorar Dim’, and each was twice the number of customers preferring only the ‘Bom’
e) Half the number of customers who preferred the ‘Bom’ preferred at least one of either the ‘Dhoper Chop’ or the ‘Ghorar Dim’.

Question: If the number of customers who preferred only the ‘Bom’ was 300, then what was the total number of customers at Milan-Da’s Canteen?

Directions for question: Read the information below and answer the following question.
At the 44th Chess Olympiad, 2022, being held at Mamallapuram, the number of participants who preferred an early morning jog to keep fit was twice the number of participants who preferred only to go to the gym to do so. 344 participants preferred both. The participants who preferred neither were half the number of participants who preferred only an early morning jog. 1720 chess players participated in the Olympiad.

Question: How many participants at the 44th Chess Olympiad preferred at least one among an early morning jog or the gym to keep fit?